$\psi$--Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory
Zidane Baitiche, Choukri Derbazi, Mouffak Benchohra
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.
Topics & Concepts
MathematicsUniquenessContraction principleDegree (music)Mathematical analysisFractional calculusNonlinear systemBoundary value problemFixed-point theoremDifferential equationApplied mathematicsPhysicsAcousticsQuantum mechanicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFixed Point Theorems Analysis