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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  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

This article studies a boundary value problem of nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions. Some existence results are obtained via fixed point theorems. The cases of convex-valued and nonconvex-valued right hand sides are considered. Several new results appear as a special case of the results of this paper.

Keywords

ENG
fractional differential inclusions, anti-periodic, integral boundary conditions, existence, fixed point theorems

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2012/32/1
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Pages:
45-62
Main language of publication
English
Received
2012-02-07
Published
2012

DOI: 10.7151/dmdico1137

Exact and natural sciences