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.

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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.