Fractional Order Differential Inclusions via the Topological Transversality Method

Mouffak Benchohra; Naima Hamidi

doi:10.4067/s0719-06462011000200008

Fractional Order Differential Inclusions via the Topological Transversality Method

Authors

Mouffak Benchohra Laboratoire de Math´ematiques, Universit´e de Sidi Bel Abb`es, B.P. 89, Sidi Bel-Abb`es, 22000, Algeria.
Naima Hamidi Laboratoire de Math´ematiques, Universit´e de Sidi Bel Abb`es, B.P. 89, Sidi Bel-Abb`es, 22000, Algeria.

DOI:

https://doi.org/10.4067/s0719-06462011000200008

Keywords:

Fractional differential inclusions, fixed point, Caputo fractional derivative, existence, topological transversality theorem

Abstract

The aim of this paper is to present new results on the existence of solutions for a class of boundary value problem for differential inclusions involving the Caputo fractional derivative. Our approach is based on the topological transversality method.

Downloads

Downloads

Download data is not yet available.

Downloads

Published

2011-06-01

How to Cite

[1]

M. Benchohra and N. Hamidi, “Fractional Order Differential Inclusions via the Topological Transversality Method”, CUBO, vol. 13, no. 2, pp. 139–149, Jun. 2011.