Existence of nonnegative solutions for a nonlinear fractional boundary value problem

Authors: Assia Guezane-Lakoud, Kheireddine Belakroum

Journal: e-Journal of Analysis and Applied Mathematics (e-JAAM), e-ISSN 2544-9990

Volume: 2018 · Pages: 56 - 80

Published Online: 25 Jul 2019

Abstract: This paper deals with the existence of solutions for a class of boundary value problem (BVP) of fractional differential equation with three point conditions via Leray-Schauder nonlinear alternative. Moreover, the existence of nonnegative solutions is discussed.

Keywords: Positive solution, Caputo fractional derivative, fixed point theorems

DOI: 10.2478/ejaam-2018-0005

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