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

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

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