Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions-Reference-Cited by-同舟云学术

Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions

Published:2013-05-06 Issue:1 Volume:2013 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Agarwal Ravi P,Ntouyas Sotiris K,Ahmad Bashir,Alhothuali Mohammed S

Abstract

Abstract In this paper, we study the existence of solutions for Riemann-Liouville type integro-differential equations of fractional order α ∈ ( 2 , 3 ] with nonlocal three-point fractional boundary conditions via Sadovskii’s fixed point theorem for condensing maps. An illustrative example is also presented. MSC:34A08, 34B10, 34B15.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1687-1847-2013-128.pdf

Reference19 articles.

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

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

3. Agarwal RP, Belmekki M, Benchohra M: A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative. Adv. Differ. Equ. 2009., 2009: Article ID 981728

4. Kirane M, Malik SA: The profile of blowing-up solutions to a nonlinear system of fractional differential equations. Nonlinear Anal. 2010, 73: 3723–3736. 10.1016/j.na.2010.06.088

5. Kirane M, Medved M, Tatar N-E: Semilinear Volterra integrodifferential problems with fractional derivatives in the nonlinearities. Abstr. Appl. Anal. 2011., 2011: Article ID 510314

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