Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2012, Volume 385, Issue 1, pp. 111 - 124

In this paper, we analyze several different types of discrete sequential fractional boundary value problems...

Boundary value problem | Cone | Discrete fractional calculus | Sequential fractional difference | Positive solution | EXISTENCE | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | EQUATIONS | MULTIPLE POSITIVE SOLUTIONS | INITIAL-VALUE PROBLEMS

Boundary value problem | Cone | Discrete fractional calculus | Sequential fractional difference | Positive solution | EXISTENCE | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | EQUATIONS | MULTIPLE POSITIVE SOLUTIONS | INITIAL-VALUE PROBLEMS

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2015, Volume 2015, Issue 1, pp. 1 - 12

This paper investigates a boundary value problem of Caputo type sequential fractional differential equations supplemented with nonlocal Riemann-Liouville fractional integral boundary conditions...

34B15 | fixed point theorems | Mathematics | integral boundary conditions | fractional differential equations | 34A08 | Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | sequential fractional derivative | Partial Differential Equations | EXISTENCE | SPACE | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | INTEGRODIFFERENTIAL EQUATIONS | INITIAL-VALUE PROBLEMS | Fixed point theory | Boundary value problems | Usage | Differential equations | Riemann integral | Difference equations | Integrals | Mathematical analysis | Boundary conditions | Standards

34B15 | fixed point theorems | Mathematics | integral boundary conditions | fractional differential equations | 34A08 | Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | sequential fractional derivative | Partial Differential Equations | EXISTENCE | SPACE | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | INTEGRODIFFERENTIAL EQUATIONS | INITIAL-VALUE PROBLEMS | Fixed point theory | Boundary value problems | Usage | Differential equations | Riemann integral | Difference equations | Integrals | Mathematical analysis | Boundary conditions | Standards

Journal Article

Applicable Analysis and Discrete Mathematics, ISSN 1452-8630, 10/2013, Volume 7, Issue 2, pp. 343 - 353

.... We then study sequential linear difference equations of fractional order with constant coefficients...

Difference equations | Real numbers | Differential equations | Discrete mathematics | Exponential functions | Calculus | Mathematical functions | Mathematical inequalities | Cauchy problem | Discrete fractional calculus | Discrete Mittag-Leffler functions | Sequential fractional difference equations | MATHEMATICS | MATHEMATICS, APPLIED | DIFFERENCE | BOUNDARY-VALUE PROBLEM | sequential fractional difference equations | INEQUALITY | discrete Mittag-Leffler functions

Difference equations | Real numbers | Differential equations | Discrete mathematics | Exponential functions | Calculus | Mathematical functions | Mathematical inequalities | Cauchy problem | Discrete fractional calculus | Discrete Mittag-Leffler functions | Sequential fractional difference equations | MATHEMATICS | MATHEMATICS, APPLIED | DIFFERENCE | BOUNDARY-VALUE PROBLEM | sequential fractional difference equations | INEQUALITY | discrete Mittag-Leffler functions

Journal Article

Advances in Difference Equations, ISSN 1687-1847, 12/2019, Volume 2019, Issue 1, pp. 1 - 25

We investigate the existence of solutions for new boundary value problems of Caputo-type sequential fractional differential equations and inclusions supplemented with nonlocal integro-multipoint boundary conditions...

34B15 | Sequential fractional derivative | 34B10 | Mathematics | Inclusions | 34A08 | Integro-multipoint boundary conditions | Ordinary Differential Equations | Functional Analysis | Nonlocal | Analysis | Difference and Functional Equations | Mathematics, general | 34A60 | Partial Differential Equations | Existence | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | DIFFERENTIAL-EQUATIONS | INTEGRODIFFERENTIAL EQUATIONS | Boundary conditions | Boundary value problems | Functional analysis | Differential equations

34B15 | Sequential fractional derivative | 34B10 | Mathematics | Inclusions | 34A08 | Integro-multipoint boundary conditions | Ordinary Differential Equations | Functional Analysis | Nonlocal | Analysis | Difference and Functional Equations | Mathematics, general | 34A60 | Partial Differential Equations | Existence | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | DIFFERENTIAL-EQUATIONS | INTEGRODIFFERENTIAL EQUATIONS | Boundary conditions | Boundary value problems | Functional analysis | Differential equations

Journal Article

Boundary Value Problems, ISSN 1687-2762, 12/2016, Volume 2016, Issue 1, pp. 1 - 22

In this paper, we consider a class of singular fractional differential equations with infinite-point boundary conditions...

infinite-point boundary conditions | 34B16 | singular problem | 34B10 | fractional differential equation | Mathematics | 34A08 | 34B18 | Ordinary Differential Equations | positive solution | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | sequential techniques and regularization | Partial Differential Equations | EIGENVALUE | MATHEMATICS | MATHEMATICS, APPLIED | Potential theory (Mathematics) | Sequential analysis | Boundary value problems | Usage | Green's functions | Mathematical analysis | Differential equations | Nonlinearity | Boundary conditions | Regularization

infinite-point boundary conditions | 34B16 | singular problem | 34B10 | fractional differential equation | Mathematics | 34A08 | 34B18 | Ordinary Differential Equations | positive solution | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | sequential techniques and regularization | Partial Differential Equations | EIGENVALUE | MATHEMATICS | MATHEMATICS, APPLIED | Potential theory (Mathematics) | Sequential analysis | Boundary value problems | Usage | Green's functions | Mathematical analysis | Differential equations | Nonlinearity | Boundary conditions | Regularization

Journal Article

6.
Full Text
Nonlinear sequential fractional differential equations with nonlocal boundary conditions

Advances in Difference Equations, ISSN 1687-1839, 12/2017, Volume 2017, Issue 1, pp. 1 - 15

This article develops the existence theory for sequential fractional differential equations involving Caputo fractional derivative of order 1 < α < 2 $1<\alpha<2...

34B10 | existence | Mathematics | Caputo fractional derivative | 34A08 | Ordinary Differential Equations | Functional Analysis | fixed point | Analysis | Difference and Functional Equations | Mathematics, general | sequential fractional derivative | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | Fixed point theory | Theorems (Mathematics) | Boundary value problems | Usage | Differential equations | Boundary conditions | Nonlinear equations | Derivatives | Mathematical analysis | Integrals

34B10 | existence | Mathematics | Caputo fractional derivative | 34A08 | Ordinary Differential Equations | Functional Analysis | fixed point | Analysis | Difference and Functional Equations | Mathematics, general | sequential fractional derivative | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | Fixed point theory | Theorems (Mathematics) | Boundary value problems | Usage | Differential equations | Boundary conditions | Nonlinear equations | Derivatives | Mathematical analysis | Integrals

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2015, Volume 2015, Issue 1, pp. 1 - 13

This paper deals with the following initial value problem for nonlinear fractional differential equation with sequential fractional derivative: { D 0 α 2 c...

34A12 | 26A33 | Mathematics | existence and uniqueness | Caputo fractional derivative | 34A08 | Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | sequential fractional derivative | Partial Differential Equations | MATHEMATICS | ORDER | MATHEMATICS, APPLIED | BOUNDARY-VALUE-PROBLEMS | Fixed point theory | Usage | Differential equations | Theorems | Difference equations | Uniqueness | Texts | Nonlinearity | Initial value problems | Derivatives

34A12 | 26A33 | Mathematics | existence and uniqueness | Caputo fractional derivative | 34A08 | Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | sequential fractional derivative | Partial Differential Equations | MATHEMATICS | ORDER | MATHEMATICS, APPLIED | BOUNDARY-VALUE-PROBLEMS | Fixed point theory | Usage | Differential equations | Theorems | Difference equations | Uniqueness | Texts | Nonlinearity | Initial value problems | Derivatives

Journal Article

Boundary Value Problems, ISSN 1687-2762, 12/2016, Volume 2016, Issue 1, pp. 1 - 15

This paper is concerned with the existence and uniqueness of solutions for a sequential fractional differential system with coupled boundary conditions...

coupled boundary conditions | 34B15 | 26A33 | 34B10 | Mathematics | 34B18 | Ordinary Differential Equations | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | sequential fractional derivative | Partial Differential Equations | fractional differential system | fixed point theorem | POSITIVE SOLUTION | MATHEMATICS, APPLIED | MATHEMATICAL-ANALYSIS | HEAT-EQUATIONS | MODEL | MATHEMATICS | PARABOLIC-SYSTEMS | HIV-INFECTION | DYNAMICS | Fixed point theory | Boundary value problems | Usage | Differential equations | Tests, problems and exercises | Boundary conditions | Mathematical analysis | Uniqueness

coupled boundary conditions | 34B15 | 26A33 | 34B10 | Mathematics | 34B18 | Ordinary Differential Equations | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | sequential fractional derivative | Partial Differential Equations | fractional differential system | fixed point theorem | POSITIVE SOLUTION | MATHEMATICS, APPLIED | MATHEMATICAL-ANALYSIS | HEAT-EQUATIONS | MODEL | MATHEMATICS | PARABOLIC-SYSTEMS | HIV-INFECTION | DYNAMICS | Fixed point theory | Boundary value problems | Usage | Differential equations | Tests, problems and exercises | Boundary conditions | Mathematical analysis | Uniqueness

Journal Article

Boundary Value Problems, ISSN 1687-2770, 12/2019, Volume 2019, Issue 1, pp. 1 - 12

In this article, we study the existence result for a boundary value problem (BVP) of hybrid fractional sequential integro-differential equations...

34A38 | 26A33 | Mathematics | 34A08 | Ordinary Differential Equations | Boundary value problem | Fixed point theorem | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | Hybrid fractional sequential integro-differential equation | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | Boundary value problems | Fixed points (mathematics) | Mathematical analysis | Differential equations

34A38 | 26A33 | Mathematics | 34A08 | Ordinary Differential Equations | Boundary value problem | Fixed point theorem | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | Hybrid fractional sequential integro-differential equation | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | Boundary value problems | Fixed points (mathematics) | Mathematical analysis | Differential equations

Journal Article

Boundary Value Problems, ISSN 1687-2762, 12/2016, Volume 2016, Issue 1, pp. 1 - 16

In this paper we investigate a new kind of nonlocal multi-point boundary value problem of Caputo type sequential fractional integro-differential equations involving Riemann-Liouville integral boundary conditions...

34B15 | existence | Mathematics | integral boundary conditions | 34A08 | multi-point | Ordinary Differential Equations | fixed point | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | sequential fractional derivative | Partial Differential Equations | SPACE | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | BOUNDARY-VALUE-PROBLEMS | DIFFERENTIAL-EQUATIONS | Fixed point theory | Boundary value problems | Usage | Strip | Theorems | Integrals | Existence theorems | Mathematical analysis | Uniqueness | Boundary conditions

34B15 | existence | Mathematics | integral boundary conditions | 34A08 | multi-point | Ordinary Differential Equations | fixed point | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | sequential fractional derivative | Partial Differential Equations | SPACE | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | BOUNDARY-VALUE-PROBLEMS | DIFFERENTIAL-EQUATIONS | Fixed point theory | Boundary value problems | Usage | Strip | Theorems | Integrals | Existence theorems | Mathematical analysis | Uniqueness | Boundary conditions

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2017, Volume 2017, Issue 1, pp. 1 - 10

We discuss the existence and uniqueness of solutions for a nonlocal three-point boundary value problem of sequential fractional differential equations on an arbitrary interval [ ξ , ζ ] , ξ , ζ ∈ R $[\xi, \zeta], \xi, \zeta\in\mathbb{R...

Riemann-Liouville fractional integral | 34B10 | existence | Mathematics | Caputo fractional derivative | 34A08 | Ordinary Differential Equations | Functional Analysis | fixed point | Analysis | Difference and Functional Equations | Mathematics, general | sequential fractional derivative | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | Theorems (Mathematics) | Boundary value problems | Usage | Differential equations | Boundary conditions | Fixed points (mathematics) | Mathematical analysis | Uniqueness

Riemann-Liouville fractional integral | 34B10 | existence | Mathematics | Caputo fractional derivative | 34A08 | Ordinary Differential Equations | Functional Analysis | fixed point | Analysis | Difference and Functional Equations | Mathematics, general | sequential fractional derivative | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | Theorems (Mathematics) | Boundary value problems | Usage | Differential equations | Boundary conditions | Fixed points (mathematics) | Mathematical analysis | Uniqueness

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 7/2008, Volume 53, Issue 1, pp. 67 - 74

Fractional mechanics describe both conservative and nonconservative systems. The fractional variational principles gained importance in studying the fractional mechanics and several versions are proposed...

Automotive and Aerospace Engineering, Traffic | Fractional Riemann–Liouville derivative | Faà di Bruno formula | Engineering | Vibration, Dynamical Systems, Control | Fractional Euler–Lagrange equations | Mechanics | Fractional Lagrangians | Mechanical Engineering | Fractional calculus | Fractional Euler-Lagrange equations | Fractional Riemann-Liouville derivative | CLASSICAL FIELDS | fractional calculus | SEQUENTIAL MECHANICS | Faa di Bruno formula | CALCULUS | fractional Lagrangians | FORMULATION | ENGINEERING, MECHANICAL | fractional Riemann-Liouville derivative | fractional Euler-Lagrange equations | MECHANICS | LINEAR VELOCITIES | SYSTEMS | VARIATIONAL-PROBLEMS | FORMALISM | Mechanics (physics) | Mathematical analysis | Classical mechanics | Euler-Lagrange equation | Equations of motion | Variational principles

Automotive and Aerospace Engineering, Traffic | Fractional Riemann–Liouville derivative | Faà di Bruno formula | Engineering | Vibration, Dynamical Systems, Control | Fractional Euler–Lagrange equations | Mechanics | Fractional Lagrangians | Mechanical Engineering | Fractional calculus | Fractional Euler-Lagrange equations | Fractional Riemann-Liouville derivative | CLASSICAL FIELDS | fractional calculus | SEQUENTIAL MECHANICS | Faa di Bruno formula | CALCULUS | fractional Lagrangians | FORMULATION | ENGINEERING, MECHANICAL | fractional Riemann-Liouville derivative | fractional Euler-Lagrange equations | MECHANICS | LINEAR VELOCITIES | SYSTEMS | VARIATIONAL-PROBLEMS | FORMALISM | Mechanics (physics) | Mathematical analysis | Classical mechanics | Euler-Lagrange equation | Equations of motion | Variational principles

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 6/2008, Volume 52, Issue 4, pp. 331 - 335

In this paper, first a class of fractional differential equations are obtained by using the fractional variational principles...

Automotive and Aerospace Engineering, Traffic | Engineering | Vibration, Dynamical Systems, Control | Mechanics | Fractional variational calculus | Mechanical Engineering | Differential equations of fractional order | Fractional calculus | fractional variational calculus | FIELDS | fractional calculus | MECHANICS | SEQUENTIAL MECHANICS | differential equations of fractional order | LINEAR VELOCITIES | SYSTEMS | VARIATIONAL-PROBLEMS | FORMULATION | DERIVATIVES | ENGINEERING, MECHANICAL | Euler-Lagrange equation | Variational principles | Mathematical analysis | Exact solutions | Differential equations

Automotive and Aerospace Engineering, Traffic | Engineering | Vibration, Dynamical Systems, Control | Mechanics | Fractional variational calculus | Mechanical Engineering | Differential equations of fractional order | Fractional calculus | fractional variational calculus | FIELDS | fractional calculus | MECHANICS | SEQUENTIAL MECHANICS | differential equations of fractional order | LINEAR VELOCITIES | SYSTEMS | VARIATIONAL-PROBLEMS | FORMULATION | DERIVATIVES | ENGINEERING, MECHANICAL | Euler-Lagrange equation | Variational principles | Mathematical analysis | Exact solutions | Differential equations

Journal Article

Central European Journal of Physics, ISSN 1895-1082, 10/2013, Volume 11, Issue 10, pp. 1295 - 1303

In the paper possible approximation of solutions to initial value problems stated for fractional nonlinear equations with sequential derivatives of Caputo type is presented...

Environmental Physics | approximation | Physical Chemistry | sequential difference | fractional derivative | Geophysics/Geodesy | Biophysics and Biological Physics | Physics, general | fractional difference | Physics | PHYSICS, MULTIDISCIPLINARY | CALCULUS | BOUNDARY-VALUE-PROBLEMS | DIFFERENTIAL-EQUATIONS

Environmental Physics | approximation | Physical Chemistry | sequential difference | fractional derivative | Geophysics/Geodesy | Biophysics and Biological Physics | Physics, general | fractional difference | Physics | PHYSICS, MULTIDISCIPLINARY | CALCULUS | BOUNDARY-VALUE-PROBLEMS | DIFFERENTIAL-EQUATIONS

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2011, Volume 2011, Issue 1, pp. 1 - 12

.... Fractional Nambu mechanics may be used for nonintegrable systems with memory. Further, Lagrangian which is generate fractional Nambu equations is defined.

Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | Mathematics | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | SEQUENTIAL MECHANICS | CALCULUS | NAMBU MECHANICS | EQUATIONS | DYNAMICS | HAMILTONIAN-MECHANICS | SYSTEMS | FORMALISM | FORMULATION | DERIVATIVES | Computer science | Variables | Mechanics | Derivatives | Methods

Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | Mathematics | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | SEQUENTIAL MECHANICS | CALCULUS | NAMBU MECHANICS | EQUATIONS | DYNAMICS | HAMILTONIAN-MECHANICS | SYSTEMS | FORMALISM | FORMULATION | DERIVATIVES | Computer science | Variables | Mechanics | Derivatives | Methods

Journal Article

Boundary Value Problems, ISSN 1687-2762, 12/2012, Volume 2012, Issue 1, pp. 1 - 14

A Cauchy-type nonlinear problem for a class of fractional differential equations with sequential derivatives is considered in the space of weighted continuous functions...

fractional derivatives | Ordinary Differential Equations | Analysis | Riemann-Liouville fractional derivative | Difference and Functional Equations | Approximations and Expansions | fractional differential equation | Mathematics, general | Mathematics | sequential fractional derivative | Partial Differential Equations | Fractional differential equation | Sequential fractional derivative | Fractional derivatives | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | ABSTRACT DIFFERENTIAL-EQUATION | Functions, Continuous | Usage | Research | Integral equations | Mathematical research | Cauchy problem | Boundary value problems | Mathematical analysis | Uniqueness | Classification | Differential equations | Nonlinearity | Derivatives

fractional derivatives | Ordinary Differential Equations | Analysis | Riemann-Liouville fractional derivative | Difference and Functional Equations | Approximations and Expansions | fractional differential equation | Mathematics, general | Mathematics | sequential fractional derivative | Partial Differential Equations | Fractional differential equation | Sequential fractional derivative | Fractional derivatives | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | ABSTRACT DIFFERENTIAL-EQUATION | Functions, Continuous | Usage | Research | Integral equations | Mathematical research | Cauchy problem | Boundary value problems | Mathematical analysis | Uniqueness | Classification | Differential equations | Nonlinearity | Derivatives

Journal Article

Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 22

.... We first provide some properties of Hilfer fractional derivative, and then establish Lyapunov-type inequalities for a sequential Hilfer fractional differential equation with two types of multi-point boundary conditions...

Multi-point boundary condition | 34B15 | Hilfer fractional derivative | Analysis | Sequential fractional differential equation | Mathematics, general | Mathematics | Applications of Mathematics | 34A08 | Lyapunov-type inequality | MATHEMATICS | MATHEMATICS, APPLIED | DIFFERENTIAL-EQUATIONS | Boundary conditions | Boundary value problems | Inequalities | Differential equations

Multi-point boundary condition | 34B15 | Hilfer fractional derivative | Analysis | Sequential fractional differential equation | Mathematics, general | Mathematics | Applications of Mathematics | 34A08 | Lyapunov-type inequality | MATHEMATICS | MATHEMATICS, APPLIED | DIFFERENTIAL-EQUATIONS | Boundary conditions | Boundary value problems | Inequalities | Differential equations

Journal Article

MATHEMATICS, ISSN 2227-7390, 04/2020, Volume 8, Issue 4, p. 476

In this paper, we propose sequential fractional delta-nabla sum-difference equations with nonlocal fractional delta-nabla sum boundary conditions...

CAPUTO | MATHEMATICS | RIEMANN | CHAOS SYNCHRONIZATION | uniqueness | TIME SCALES | CALCULUS | nonlocal fractional delta-nabla sum boundary value problem | existence | FRAMEWORK | sequential fractional delta-nabla sum-difference equations | Boundary value problems | Fixed points (mathematics) | Difference equations | Mathematical analysis | Existence theorems | Boundary conditions | Calculus | Investigations

CAPUTO | MATHEMATICS | RIEMANN | CHAOS SYNCHRONIZATION | uniqueness | TIME SCALES | CALCULUS | nonlocal fractional delta-nabla sum boundary value problem | existence | FRAMEWORK | sequential fractional delta-nabla sum-difference equations | Boundary value problems | Fixed points (mathematics) | Difference equations | Mathematical analysis | Existence theorems | Boundary conditions | Calculus | Investigations

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2011, Volume 218, Issue 5, pp. 2074 - 2081

.... Weyl’s limit-circle/limit-point classification of differential equations.

Sequential fractional differential equation | Lp-solution | Limit-circle/limit-point classification of differential equations | L-p-solution | MATHEMATICS, APPLIED

Sequential fractional differential equation | Lp-solution | Limit-circle/limit-point classification of differential equations | L-p-solution | MATHEMATICS, APPLIED

Journal Article

Journal of Difference Equations and Applications, ISSN 1023-6198, 12/2017, Volume 23, Issue 12, pp. 1986 - 2003

We prove that a class of convexity-type results for sequential fractional delta differences is sharp...

sequential fractional delta difference | Discrete fractional calculus | convexity | Secondary: 26A33 | Primary: 26A51 | Sequential fractional delta difference | Convexity | MATHEMATICS, APPLIED | CALCULUS | MONOTONICITY RESULT | BOUNDARY-VALUE-PROBLEMS | EQUATIONS | SYSTEMS | NABLA | GROWTH-CONDITIONS | UNIQUENESS | Difference equations | Applied mathematics | Sharpness

sequential fractional delta difference | Discrete fractional calculus | convexity | Secondary: 26A33 | Primary: 26A51 | Sequential fractional delta difference | Convexity | MATHEMATICS, APPLIED | CALCULUS | MONOTONICITY RESULT | BOUNDARY-VALUE-PROBLEMS | EQUATIONS | SYSTEMS | NABLA | GROWTH-CONDITIONS | UNIQUENESS | Difference equations | Applied mathematics | Sharpness

Journal Article