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Existence results for Caputo type sequential fractional differential inclusions with nonlocal integral boundary conditions
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Existence results for Caputo type sequential fractional differential inclusions with nonlocal integral boundary conditions

Bashir Ahmad and Sotiris K. Ntouyas
Journal of applied mathematics & computing, Vol.50(1-2), pp.157-174
01/02/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study a new class of Caputo type sequential fractional differential inclusions with nonlocal Riemann-Liouville fractional integral boundary conditions. The existence of solutions for the given problem is established for the cases of convex and non-convex multivalued maps by using standard fixed point theorems. The obtained results are well illustrated with the aid of examples.

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