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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

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

Journal of applied mathematics & computing, ISSN 1598-5865, 6/2016, Volume 51, Issue 1, pp. 13 - 33

... differential inclusions
Sotiris K. Ntouyas 1 , 2 · Jessada Tariboon 3
Received: 12 February 2015 / Published online: 26 April 2015
© Korean Society for Computational...

Computational Mathematics and Numerical Analysis | 34B15 | Fixed point theorems | Mathematics | Theory of Computation | 34A08 | Hadamard fractional derivative | Mathematics of Computing | Appl.Mathematics/Computational Methods of Engineering | 34A60 | Existence | Hadamard fractional integral | Fractional differential inclusions | Studies | Boundary value problems | Integrals | Mathematical analysis | Maps | Computation | Mathematical models | Inclusions | Standards

Computational Mathematics and Numerical Analysis | 34B15 | Fixed point theorems | Mathematics | Theory of Computation | 34A08 | Hadamard fractional derivative | Mathematics of Computing | Appl.Mathematics/Computational Methods of Engineering | 34A60 | Existence | Hadamard fractional integral | Fractional differential inclusions | Studies | Boundary value problems | Integrals | Mathematical analysis | Maps | Computation | Mathematical models | Inclusions | Standards

Journal Article

Mediterranean journal of mathematics, ISSN 1660-5446, 10/2016, Volume 13, Issue 5, pp. 2365 - 2381

... ractional Diﬀerential Equations with
Nonlocal Integral and Integer–F ractionalOrder Neumann Type Boundary Conditions
Bashir Ahmad, Sotiris K. Ntouyas, and Jessada...

34B15 | Fractional differential systems | Mathematics, general | Mathematics | nonlocal boundary conditions | integral boundary conditions | 34A08 | fixed point theorem | Physical Sciences | Mathematics, Applied | Science & Technology | Analysis | Differential equations | Boundary conditions

34B15 | Fractional differential systems | Mathematics, general | Mathematics | nonlocal boundary conditions | integral boundary conditions | 34A08 | fixed point theorem | Physical Sciences | Mathematics, Applied | Science & Technology | Analysis | Differential equations | Boundary conditions

Journal Article

5.
Full Text
Boundary Value Problems for First-Order Impulsive Functional q-Integrodifference Equations

Abstract and applied analysis, ISSN 1085-3375, 12/2014, Volume 2014

We discuss the existence and uniqueness of solutions for a first-order boundary value problem for impulsive functional q k -integrodifference equations. The...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Difference equations | Boundary value problems | Analysis | Studies | Applied mathematics | Optimization | Theorems | Mathematical analysis | Uniqueness

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Difference equations | Boundary value problems | Analysis | Studies | Applied mathematics | Optimization | Theorems | Mathematical analysis | Uniqueness

Journal Article

01/2017, ISBN 9783319521404

eBook

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 7/2016, Volume 39, Issue 3, pp. 971 - 992

... with Integral Jump
Conditions
Chatthai Thaiprayoon 1 · Jessada Tariboon 2
Received: 20 June 2013 / Revised: 22 December 2013 / Published online: 7 August 2015
© Malaysian...

Monotone iterative technique | 34A37 | Mathematics, general | Maximum principle | Mathematics | Applications of Mathematics | Impulsive differential inequality | Impulsive integro-differential equation | 34K10 | Physical Sciences | Science & Technology | Boundary value problems | Mathematical analysis | Integrals | Differential equations

Monotone iterative technique | 34A37 | Mathematics, general | Maximum principle | Mathematics | Applications of Mathematics | Impulsive differential inequality | Impulsive integro-differential equation | 34K10 | Physical Sciences | Science & Technology | Boundary value problems | Mathematical analysis | Integrals | Differential equations

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2014, Volume 2014, pp. 1 - 11

We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Inequalities (Mathematics) | Integrals | Analysis | Mathematical problems | Applied mathematics | Colleges & universities | Mathematical functions | Risk premiums | Power plants

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Inequalities (Mathematics) | Integrals | Analysis | Mathematical problems | Applied mathematics | Colleges & universities | Mathematical functions | Risk premiums | Power plants

Journal Article

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

We establish certain new fractional integral inequalities for the differentiable functions whose derivatives belong to the space Lp([1,∞)), related to the...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Inequalities (Mathematics) | Chebyshev approximation | Research | Integrals | Mathematical research | Operator theory | Applied mathematics | Colleges & universities | Mathematical functions | Calculus | Derivatives

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Inequalities (Mathematics) | Chebyshev approximation | Research | Integrals | Mathematical research | Operator theory | Applied mathematics | Colleges & universities | Mathematical functions | Calculus | Derivatives

Journal Article

Mediterranean journal of mathematics, ISSN 1660-5446, 6/2016, Volume 13, Issue 3, pp. 939 - 954

... Problems for
Riemann–Liouville F ractional Diﬀerential
Inclusions with Nonlocal Hadamard
F ractional Integral Conditions
Sotiris K. Ntouyas, Jessada Tariboon...

34B15 | Riemann–Liouville fractional derivative | fixed point theorems | fractional differential inclusions | existence | Mathematics, general | Mathematics | 34A60 | 34A08 | Hadamard fractional integral | Physical Sciences | Mathematics, Applied | Science & Technology

34B15 | Riemann–Liouville fractional derivative | fixed point theorems | fractional differential inclusions | existence | Mathematics, general | Mathematics | 34A60 | 34A08 | Hadamard fractional integral | Physical Sciences | Mathematics, Applied | Science & Technology

Journal Article

Positivity : an international journal devoted to the theory and applications of positivity in analysis, ISSN 1385-1292, 9/2017, Volume 21, Issue 3, pp. 825 - 845

... fractional integral
boundary conditions
Khomsan Neamprem 1 · Thanadon Muensawat 1 ·
Sotiris K. Ntouyas 2,3 · Jessada Tariboon 1
Received: 9 April 2016 / Accepted: 28...

26A33 | Fixed point theorems | Mathematics | 34A08 | 34B18 | Riemann–Liouville fractional integral conditions | Operator Theory | Fourier Analysis | Potential Theory | Positive solutions | Calculus of Variations and Optimal Control; Optimization | Fractional differential systems | Nonlocal boundary conditions | Econometrics | Physical Sciences | Science & Technology | Integrals | Boundary conditions | Fixed points (mathematics)

26A33 | Fixed point theorems | Mathematics | 34A08 | 34B18 | Riemann–Liouville fractional integral conditions | Operator Theory | Fourier Analysis | Potential Theory | Positive solutions | Calculus of Variations and Optimal Control; Optimization | Fractional differential systems | Nonlocal boundary conditions | Econometrics | Physical Sciences | Science & Technology | Integrals | Boundary conditions | Fixed points (mathematics)

Journal Article

12.
Full Text
Nonlinear second-order $$q$$ q -difference equations with three-point boundary conditions

Computational and Applied Mathematics, ISSN 0101-8205, 7/2014, Volume 33, Issue 2, pp. 385 - 397

... Thiramanus · Jessada Tariboon
Received: 23 November 2012 / Revised: 4 April 2013 / Accepted: 7 July 2013 /
Published online: 22 August 2013
© SBMAC - Sociedade...

Computational Mathematics and Numerical Analysis | q$$ q -integral | 39A13 | Mathematical Applications in Computer Science | Mathematics | Applications of Mathematics | q$$ q -derivative | Mathematical Applications in the Physical Sciences | q$$ q -difference equation | Three-point boundary value problem

Computational Mathematics and Numerical Analysis | q$$ q -integral | 39A13 | Mathematical Applications in Computer Science | Mathematics | Applications of Mathematics | q$$ q -derivative | Mathematical Applications in the Physical Sciences | q$$ q -difference equation | Three-point boundary value problem

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2014, Volume 2014, pp. 1 - 10

Some new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Inequalities (Mathematics) | Research | Integrals | Mathematical research | Differential equations | Applied mathematics | Integral equations | Colleges & universities

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Inequalities (Mathematics) | Research | Integrals | Mathematical research | Differential equations | Applied mathematics | Integral equations | Colleges & universities

Journal Article

Journal of applied mathematics, ISSN 1110-757X, 12/2012, Volume 2012, pp. 1 - 15

By using Krasnoselskii's fixed point theorem, we study the existence of positive solutions to the three-point summation boundary value problem...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Awards & honors | Studies | Problems | Boundary value problems | Integers | Theorems | Difference equations | Existence theorems | Mathematical analysis

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Awards & honors | Studies | Problems | Boundary value problems | Integers | Theorems | Difference equations | Existence theorems | Mathematical analysis

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2014, Volume 2014

We study a class of fractional q-integrodifference equations with nonlocal fractional q-integral boundary conditions which have different quantum numbers. By...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Boundary value problems | Calculus | Books | Applied mathematics

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Boundary value problems | Calculus | Books | Applied mathematics

Journal Article

Journal of applied mathematics, ISSN 1110-757X, 12/2013, Volume 2013

This paper studies sufficient conditions for the existence of solutions to the problem of sequential derivatives of nonlinear q-difference equations with...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Sequences (Mathematics) | Boundary value problems | Research | Differential equations, Nonlinear | Mathematical research

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Sequences (Mathematics) | Boundary value problems | Research | Differential equations, Nonlinear | Mathematical research

Journal Article

Journal of applied mathematics, ISSN 1110-757X, 12/2014, Volume 2014, pp. 1 - 10

We discuss the existence and uniqueness of solutions for boundary value problems involving multiterm fractional integral boundary conditions. Our study relies...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Research | Integral equations | Mathematical research | Differential equations | Studies | Problems | Boundary value problems | Applied mathematics | Boundary conditions | Control theory | Theorems | Integrals | Mathematical analysis | Uniqueness | Standards

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Research | Integral equations | Mathematical research | Differential equations | Studies | Problems | Boundary value problems | Applied mathematics | Boundary conditions | Control theory | Theorems | Integrals | Mathematical analysis | Uniqueness | Standards

Journal Article

Journal of applied mathematics, ISSN 1110-757X, 12/2013, Volume 2013

We study a new class of three-point boundary value problems of nonlinear second-order q-difference equations. Our problems contain different numbers of q in...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Boundary value problems | Research | Differential equations, Nonlinear | Mathematical research

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Boundary value problems | Research | Differential equations, Nonlinear | Mathematical research

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2014, Volume 2014

We aim at establishing a new bilateral type generating function associated with the I-function and a Mellin-Barnes type of contour integral. The results...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Functions | Research | Functional equations | Integral equations | Mathematical research | Probability | Colleges & universities

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Functions | Research | Functional equations | Integral equations | Mathematical research | Probability | Colleges & universities

Journal Article