Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions

Authors:
Ravi P. Agarwal;Bashir Ahmad
Affiliations:
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA;Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 3
Cited 3

Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering

Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
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Computers & Mathematics with Applications
Some new existence results for fractional differential inclusions with boundary conditions

Mathematical and Computer Modelling: An International Journal

Approximate controllability of fractional stochastic evolution equations

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Piecewise polynomial collocation for linear boundary value problems of fractional differential equations

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Solvability of multi-point boundary value problems for multiple term Riemann-Liouville fractional differential equations

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Abstract

This paper studies the existence of solutions for nonlinear fractional differential equations and inclusions of order q@?(3,4] with anti-periodic boundary conditions. In the case of inclusion problem, the existence results are established for convex as well as nonconvex multivalued maps. Our results are based on some fixed point theorems, Leray-Schauder degree theory, and nonlinear alternative of Leray-Schauder type. Some illustrative examples are discussed.