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

Authors : Aurelian CERNEA

Pages : 133-137

Doi:10.32323/ujma.647951

View : 14 | Download : 7

Publication Date : 2020-12-23

Article Type : Research Paper

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