Boundary value problems for fractional differential equations and inclusions in Banach spaces

Samira Hamani; Johnny Henderson

doi:10.26637/mjm502/013

Abstract

In this paper, we are concerned with the existence of solutions for boundary value problems, first for a class of fractional differential equations and second for a class of fractional differential inclusions. The methods include techniques associated with measure of noncompactness in conjunction with fixed point theorems of Mönch type.

Keywords:

Fractional differential equation, fractional differential inclusion, boundary value problem, measure of noncompactness, fixed point

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Samira Hamani Département de Mathématiques, Université de Mostaganem, B.P. 27000, Mostaganem, Algérie. https://orcid.org/0000-0002-2702-2811
Johnny Henderson Department of Mathematics, Baylor University, Waco, Texas 76798-7328, USA. https://orcid.org/0000-0001-7288-5168

Pages: 346-366
Date Published: 01-04-2017
Vol. 5 No. 02 (2017): Malaya Journal of Matematik (MJM)

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