Boundary value problems for fractional differential inclusions with Hadamard type derivatives in Banach spaces

John R. Graef; Nassim Guerraiche; Samira Hamani

doi:10.24193/subbmath.2017.4.02

Authors

John R. Graef University of Tennessee at Chattanooga http://orcid.org/0000-0002-8149-4633
Nassim Guerraiche Universit\'e de Mostaganem
Samira Hamani Universit\'e de Mostaganem

DOI:

https://doi.org/10.24193/subbmath.2017.4.02

Keywords:

Fractional differential inclusion, Hadamard-type fractional derivative, fractional integral, M\"onch's fixed point theorem, Kuratowski measure of noncompacteness

Abstract

The authors establish sufficient conditions for the existence of solutions to boundary value problems for fractional differential inclusions involving the Hadamard type fractional derivative of order $\alpha \in (1,2]$ in Banach spaces. Their approach uses M\"onch's fixed point theorem and the Kuratowski measure of noncompacteness.

Author Biography

John R. Graef, University of Tennessee at Chattanooga

Professor, Department of Mathematics

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