Existence of solutions for fractional boundary value problems with Riesz space derivative and nonlocal conditions

Author:

Toprakseven SuayipORCID,

Abstract

"By using the fixed-point theorems, we give sufficient conditions for the existence and uniqueness of solutions for the nonlocal fractional boundary value problem of nonlinear Riesz-Caputo differential equation. The boundedness assumption on the nonlinear term is replaced by growth conditions or by a continuous function. Finally, some examples are presented to illustrate the applications of the obtained results. Keywords: Fractional boundary value problem, Riesz-Caputo fractional derivative, existence and uniqueness, fixed point, nonlocal conditions. "

Publisher

Babes-Bolyai University

Subject

General Mathematics

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