A Bilocal Problem Associated to a Fractional Differential Inclusion of Caputo-Fabrizio Type

Year 2020, Volume: 3 Issue: 4, 133 - 137, 23.12.2020

Aurelian Cernea

https://doi.org/10.32323/ujma.647951

Cited By: 1

Abstract

A fractional differential inclusion defined by Caputo-Fabrizio fractional derivative with bilocal boundary conditions is studied. A nonlinear alternative of Leray-Schauder type, Bressan-Colombo selection theorem for lower semicontinuous set-valued maps with decomposable values and Covitz-Nadler set-valued contraction principle are employed in order to obtain the existence of solutions when the set-valued map that define the problem has convex or non convex values.

Keywords

Differential inclusion, Fixed point, Fractional derivative, Selection

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