On fractional differential inclusions with anti-periodic type integral boundary conditions-Reference-Cited by-同舟云学术

On fractional differential inclusions with anti-periodic type integral boundary conditions

Published:2013-04-10 Issue:1 Volume:2013 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Ahmad Bashir,Ntouyas Sotiris K,Alsaedi Ahmed

Abstract

Abstract This paper investigates the existence of solutions for fractional differential inclusions of order q ∈ ( 2 , 3 ] with anti-periodic type integral boundary conditions by means of some standard fixed point theorems for inclusions. Our results include the cases when the multivalued map involved in the problem has convex as well as non-convex values. The paper concludes with an illustrative example. MSC:34A60, 34A08.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1687-2770-2013-82.pdf

Reference36 articles.

1. Samko SG, Kilbas AA, Marichev OI: Fractional Integrals and Derivatives, Theory and Applications. Gordon & Breach, Yverdon; 1993.

2. Podlubny I: Fractional Differential Equations. Academic Press, San Diego; 1999.

3. Kilbas AA, Srivastava HM, Trujillo JJ North-Holland Mathematics Studies 204. In Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam; 2006.

4. Lakshmikantham V, Leela S, Vasundhara Devi J: Theory of Fractional Dynamic Systems. Cambridge Academic Publishers, Cambridge; 2009.

5. Baleanu D, Diethelm K, Scalas E, Trujillo JJ Series on Complexity, Nonlinearity and Chaos. In Fractional Calculus: Models and Numerical Methods. World Scientific, Boston; 2012.

Cited by 26 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence study of semilinear fractional differential equations and inclusions for multi–term problem under Riemann–Liouville operators;Mathematical Methods in the Applied Sciences;2022-12-15

2. Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative;Advances in the Theory of Nonlinear Analysis and its Application;2021-09-15

3. RIEMANN–LIOUVILLE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH FRACTIONAL NONLOCAL MULTI-POINT BOUNDARY CONDITIONS;Fractals;2021-09-03

4. On a fractional q-differential inclusion on a time scale via endpoints and numerical calculations;Advances in Difference Equations;2020-09-03

5. On a system of fractional q-differential inclusions via sum of two multi-term functions on a time scale;Boundary Value Problems;2020-08-06