Caputo-Hadamard fractional differential equations with nonlocal fractional integro-differential boundary conditions via topological degree theory
Choukri Derbazi, Hadda Hammouche
Abstract
This article aims to prove the existence and uniqueness of solutions to a nonlinear boundary value problem of fractional differential equations involving the Caputo-Hadamard fractional derivative with nonlocal fractional integro-differential boundary conditions. The concerned results are obtained employing topological degree for condensing maps via a priori estimate method and the Banach contraction principle fixed point theorem. Besides, two illustrative examples are presented.
Topics & Concepts
MathematicsHadamard transformUniquenessFractional calculusBoundary value problemFixed-point theoremMathematical analysisContraction principleDifferential equationApplied mathematicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods