- Universal Journal of Mathematics and Applications
- Vol: 3 Issue: 4
- A Bilocal Problem Associated to a Fractional Differential Inclusion of Caputo-Fabrizio Type
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 : 9 | Download : 4
Publication Date : 2020-12-23
Article Type : Research
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