Fractional differential inclusions with fractional separated boundary conditions-Reference-Cited by-同舟云学术

Fractional differential inclusions with fractional separated boundary conditions

Published:2012-06-30 Issue:3 Volume:15 Page:362-382
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Ahmad Bashir¹,Ntouyas Sotiris²

Affiliation:

1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

2. Department of Mathematics, University of Ioannina, 451 10, Ioannina, Greece

Abstract

Abstract This paper studies a new class of boundary value problems of nonlinear fractional differential inclusions of order q ∈ (1, 2] with fractional separated boundary conditions. New existence results are obtained for this class of problems by using some standard fixed point theorems. A possible generalization for the inclusion problem with fractional separated integral boundary conditions is also discussed. Some illustrative examples are presented.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.2478/s13540-012-0027-y.pdf

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