$\psi$--Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory

Authors : Zidane BAİTİCHE, Choukri DERBAZİ, Mouffak BENCHOHRA

Pages : 167-178

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Publication Date : 2020-12-30

Article Type : Research Paper

Abstract :In this article, we discuss the existence and uniqueness of solutions to some nonlinear fractional differential equations involving the $\psi$--Caputo fractional derivative with multi-point boundary conditions. Our results rely on the technique of topological degree theory for condensing maps and the Banach contraction principle. Also, two illustrative examples are presented to illustrate our main results.
Keywords : Fractional differential equations, psi Caputo fractional derivative, multi point boundary conditions, existence, uniqueness, topological degree theory, condensing maps