UofT Libraries is getting a new library services platform in January 2021.

Learn more about the change.

## Search Articles

2017, ISBN 9783319521404, 420

This text focuses on the recent development of fractional differential equations, integro-differential equations and inclusions and inequalities involving the...

Numerical analysis | Fractional differential equations

Numerical analysis | Fractional differential equations

eBook

Advances in difference equations, ISSN 1687-1847, 01/2015, Volume 2015, Issue 1, pp. 1 - 19

... quantum calculus
and applications to impulsive fractional
q -difference equations
Jessada Tariboon 1* , Sotiris K Ntouyas 2 and Praveen Agarwal 3
* Correspondence...

34A37 | 26A33 | existence | Mathematics | quantum calculus | Ordinary Differential Equations | Functional Analysis | 39A13 | uniqueness | Analysis | Difference and Functional Equations | Mathematics, general | impulsive fractional q -difference equations | Partial Differential Equations | impulsive fractional q-difference equations | Physical Sciences | Mathematics, Applied | Science & Technology | Usage | Calculus | Difference equations | Intervals | Operators | Mathematical analysis | Uniqueness | Texts | Initial value problems

34A37 | 26A33 | existence | Mathematics | quantum calculus | Ordinary Differential Equations | Functional Analysis | 39A13 | uniqueness | Analysis | Difference and Functional Equations | Mathematics, general | impulsive fractional q -difference equations | Partial Differential Equations | impulsive fractional q-difference equations | Physical Sciences | Mathematics, Applied | Science & Technology | Usage | Calculus | Difference equations | Intervals | Operators | Mathematical analysis | Uniqueness | Texts | Initial value problems

Journal Article

3.
Full Text
Quantum calculus on finite intervals and applications to impulsive difference equations

Advances in difference equations, ISSN 1687-1847, 11/2013, Volume 2013, Issue 1, pp. 1 - 19

In this paper we initiate the study of quantum calculus on finite intervals. We define the q(k)-derivative and q(k)-integral of a function and prove their basic properties...

Ordinary Differential Equations | Functional Analysis | uniqueness | Analysis | integral | impulsive -difference equation | Difference and Functional Equations | existence | Mathematics, general | Mathematics | derivative | Partial Differential Equations | difference equation | Impulsive q | Existence | Uniqueness | Physical Sciences | Mathematics, Applied | Science & Technology | Usage | Ontology | Difference equations | Integrals | Tests, problems and exercises

Ordinary Differential Equations | Functional Analysis | uniqueness | Analysis | integral | impulsive -difference equation | Difference and Functional Equations | existence | Mathematics, general | Mathematics | derivative | Partial Differential Equations | difference equation | Impulsive q | Existence | Uniqueness | Physical Sciences | Mathematics, Applied | Science & Technology | Usage | Ontology | Difference equations | Integrals | Tests, problems and exercises

Journal Article

Advances in difference equations, ISSN 1687-1847, 06/2019, Volume 2019, Issue 1, pp. 1 - 18

...
Impulsive fractional quantum Hahn
difference boundary value problems
Jessada Tariboon 1* , Sotiris K. Ntouyas 2,3 and Bundit Sutthasin 1
* Correspondence:
jessada.t...

Boundary value problems | Uniqueness | Fixed point theorems | Mathematics | Ordinary Differential Equations | 39A10 | Functional Analysis | 39A13 | Analysis | Hahn difference equations | Difference and Functional Equations | Mathematics, general | 39A70 | Partial Differential Equations | Existence | Physical Sciences | Mathematics, Applied | Science & Technology | Difference equations | Mapping

Boundary value problems | Uniqueness | Fixed point theorems | Mathematics | Ordinary Differential Equations | 39A10 | Functional Analysis | 39A13 | Analysis | Hahn difference equations | Difference and Functional Equations | Mathematics, general | 39A70 | Partial Differential Equations | Existence | Physical Sciences | Mathematics, Applied | Science & Technology | Difference equations | Mapping

Journal Article

Advances in difference equations, ISSN 1687-1847, 04/2019, Volume 2019, Issue 1, pp. 1 - 17

...
Existence and Ulamâ€“Hyers stability for
Caputo conformable differential equations
with four-point integral conditions
Aphirak Aphithana 1 , Sotiris K. Ntouyas 2,3...

Conformable derivatives | 34C10 | 26A33 | Mathematics | Ulamâ€“Hyers stability | 34A08 | Ordinary Differential Equations | Fixed point theorem | Functional Analysis | Fractional differential equations | Analysis | Difference and Functional Equations | Mathematics, general | Conformable integrals | Partial Differential Equations | Existence and uniqueness | Physical Sciences | Mathematics, Applied | Science & Technology | Theorems | Fixed points (mathematics) | Mapping | Stability analysis | Integrals | Differential equations

Conformable derivatives | 34C10 | 26A33 | Mathematics | Ulamâ€“Hyers stability | 34A08 | Ordinary Differential Equations | Fixed point theorem | Functional Analysis | Fractional differential equations | Analysis | Difference and Functional Equations | Mathematics, general | Conformable integrals | Partial Differential Equations | Existence and uniqueness | Physical Sciences | Mathematics, Applied | Science & Technology | Theorems | Fixed points (mathematics) | Mapping | Stability analysis | Integrals | Differential equations

Journal Article

01/2017, ISBN 9783319521404

eBook

Journal of inequalities and applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 13

The focus of the present study is to prove some new PÃ³lya-SzegÃ¶ type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator...

Riemann-Liouville k -fractional integral operator | 26D10 | Analysis | Chebyshev functional | PÃ³lya and SzegÃ¶ type inequalities | 26A33 | Mathematics, general | Mathematics | integral inequalities | Applications of Mathematics | 26D15 | Riemann-Liouville k-fractional integral operator | Physical Sciences | Mathematics, Applied | Science & Technology | Chebyshev approximation | Operators | Integrals | Inequalities

Riemann-Liouville k -fractional integral operator | 26D10 | Analysis | Chebyshev functional | PÃ³lya and SzegÃ¶ type inequalities | 26A33 | Mathematics, general | Mathematics | integral inequalities | Applications of Mathematics | 26D15 | Riemann-Liouville k-fractional integral operator | Physical Sciences | Mathematics, Applied | Science & Technology | Chebyshev approximation | Operators | Integrals | Inequalities

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 09/2018, Volume 2018, Issue 1, pp. 1 - 14

...
Noninstantaneous impulsive inequalities
via conformable fractional calculus
Surang Sitho 1 , Sotiris K. Ntouyas 2,3 , Praveen Agarwal 4 and Jessada Tariboon 5...

34A37 | Conformable fractional integral | Impulsive inequalities | 26D10 | Analysis | Conformable fractional derivative | 26A33 | Mathematics, general | Mathematics | Applications of Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology | Fractional calculus | Inequalities | Research

34A37 | Conformable fractional integral | Impulsive inequalities | 26D10 | Analysis | Conformable fractional derivative | 26A33 | Mathematics, general | Mathematics | Applications of Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology | Fractional calculus | Inequalities | Research

Journal Article

Advances in difference equations, ISSN 1687-1839, 12/2012, Volume 2012, Issue 1, pp. 1 - 10

...R E S E A R C H Open Access
A study of second-order q-difference equations
with boundary conditions
Bashir Ahmad 1* , Ahmed Alsaedi 1 and Sotiris K Ntouyas 2...

Ordinary Differential Equations | Functional Analysis | q-difference equations | fixed point | Analysis | non-separated boundary conditionss | Difference and Functional Equations | existence | Mathematics, general | Mathematics | Partial Differential Equations | Existence | Non-separated boundary conditionss | Q-difference equations | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology | Operators | Boundary value problems | Equivalence | Integrals | Mathematical analysis | Classification | Nonlinearity | Boundary conditions

Ordinary Differential Equations | Functional Analysis | q-difference equations | fixed point | Analysis | non-separated boundary conditionss | Difference and Functional Equations | existence | Mathematics, general | Mathematics | Partial Differential Equations | Existence | Non-separated boundary conditionss | Q-difference equations | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology | Operators | Boundary value problems | Equivalence | Integrals | Mathematical analysis | Classification | Nonlinearity | Boundary conditions

Journal Article

Mathematical problems in engineering, ISSN 1024-123X, 01/2013, Volume 2013, pp. 1 - 9

We develop the existence theory for nonlinear fractional differential equations of arbitrary order with Riemann-Liouville type boundary conditions involving...

Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mathematics | Science & Technology | Boundary value problems | Research | Differential equations, Nonlinear | Mathematical research | Studies | Boundary conditions | Strip | Illustrations | Mathematical analysis | Differential equations | Nonlinearity | Standards

Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mathematics | Science & Technology | Boundary value problems | Research | Differential equations, Nonlinear | Mathematical research | Studies | Boundary conditions | Strip | Illustrations | Mathematical analysis | Differential equations | Nonlinearity | Standards

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2014, Volume 2014, pp. 1 - 7

This paper studies the existence of solutions for a boundary value problem of nonlinear fractional hybrid differential inclusions by using a fixed point...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Boundary value problems | Analysis | Boundary conditions | Calculus | Derivatives | Applied mathematics

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Boundary value problems | Analysis | Boundary conditions | Calculus | Derivatives | Applied mathematics

Journal Article

Journal of applied mathematics & computing, ISSN 1598-5865, 2/2015, Volume 47, Issue 1, pp. 119 - 131

...
Bashir Ahmad Â· Sotiris K. Ntouyas
Received: 14 January 2014 / Accepted: 25 February 2014 / Published online: 11 March 2014
Â© Korean Society for Computational...

Hadamard fractional derivative | Computational Mathematics and Numerical Analysis | Mathematics of Computing | Appl.Mathematics/Computational Methods of Engineering | Fixed point theorems | Mathematics | Theory of Computation | Integral boundary conditions | 34A60 | 34A08 | Studies | Boundary value problems | Derivatives | Integrals | Mathematical analysis | Computation | Uniqueness | Differential equations | Boundary conditions | Mathematical models

Hadamard fractional derivative | Computational Mathematics and Numerical Analysis | Mathematics of Computing | Appl.Mathematics/Computational Methods of Engineering | Fixed point theorems | Mathematics | Theory of Computation | Integral boundary conditions | 34A60 | 34A08 | Studies | Boundary value problems | Derivatives | Integrals | Mathematical analysis | Computation | Uniqueness | Differential equations | Boundary conditions | Mathematical models

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2011, Volume 2011, Issue 2011

We investigate the existence of solutions for a class of second-order q-difference inclusions with nonseparated boundary conditions. By using suitable...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Boundary value problems | Research | Difference equations | Existence theorems | Studies | Problems | Maps | Ordinary differential equations | Boundary conditions | Mathematical models | Mathematical functions | Calculus | Banach spaces | Theorems | Inclusions | Mathematical analysis

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Boundary value problems | Research | Difference equations | Existence theorems | Studies | Problems | Maps | Ordinary differential equations | Boundary conditions | Mathematical models | Mathematical functions | Calculus | Banach spaces | Theorems | Inclusions | Mathematical analysis

Journal Article

Advances in difference equations, ISSN 1687-1847, 07/2019, Volume 2019, Issue 1, pp. 1 - 25

...
On more general boundary value problems
involving sequential fractional derivatives
Bashir Ahmad 1 , Ahmed Alsaedi 1* , Sotiris K. Ntouyas 1,2 and Wafa Shammakh 1...

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 | Physical Sciences | Mathematics, Applied | Science & Technology | 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 | Physical Sciences | Mathematics, Applied | Science & Technology | Boundary conditions | Boundary value problems | Functional analysis | Differential equations

Journal Article

Revista de la Real Academia de Ciencias Exactas, FÃsicas y Naturales. Serie A, MatemÃ¡ticas, ISSN 1578-7303, 3/2016, Volume 110, Issue 1, pp. 159 - 172

... boundary conditions
Bashir Ahmad 1 Â· Sotiris K. Ntouyas 1 , 2
Received: 17 November 2014 / Accepted: 18 May 2015 / Published online: 25 May 2015
Â© Springer-Verlag...

Nonlocal conditions | 34B15 | Fractional differential equations | Theoretical, Mathematical and Computational Physics | Fixed point theorems | Mathematics, general | Mathematics | Integral boundary conditions | Applications of Mathematics | 34A08 | Science & Technology - Other Topics | Physical Sciences | Multidisciplinary Sciences | Science & Technology | Theorems | Integrals | Existence theorems | Uniqueness | Differential equations | Flux | Boundary conditions | Standards

Nonlocal conditions | 34B15 | Fractional differential equations | Theoretical, Mathematical and Computational Physics | Fixed point theorems | Mathematics, general | Mathematics | Integral boundary conditions | Applications of Mathematics | 34A08 | Science & Technology - Other Topics | Physical Sciences | Multidisciplinary Sciences | Science & Technology | Theorems | Integrals | Existence theorems | Uniqueness | Differential equations | Flux | Boundary conditions | Standards

Journal Article

Electronic journal of differential equations, ISSN 1072-6691, 07/2014, Volume 2014, Issue 161, pp. 1 - 8

In this article, we discuss the existence of solutions for an initial-value problem of nonlinear hybrid differential equations of Hadamard type. The main...

Hadamard fractional derivative | Fixed point theorem | Initial value problem | Existence | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | existence | initial value problem | fixed point theorem

Hadamard fractional derivative | Fixed point theorem | Initial value problem | Existence | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | existence | initial value problem | fixed point theorem

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2014, Volume 2014, pp. 1 - 9

We study the existence and uniqueness of solutions for a fractional boundary value problem involving Hadamard-type fractional differential equations and...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Research | Mathematical research | Differential equations | Economic models | Boundary value problems | Applied mathematics | Colleges & universities | Boundary conditions | Optimization

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Research | Mathematical research | Differential equations | Economic models | Boundary value problems | Applied mathematics | Colleges & universities | Boundary conditions | Optimization

Journal Article