Monotone iterative method for ψ-Caputo fractional differential equation with nonlinear boundary conditions

Document Type

Article

Publication Date

9-1-2021

Abstract

The main contribution of this paper is to prove the existence of extremal solutions for a novel class of psi-Caputo fractional differential equation with nonlinear boundary conditions. For this purpose, we utilize the well-known monotone iterative technique together with the method of upper and lower solutions. Finally, we provide an example along with graphical representations to confirm the validity of our main results.

Keywords

psi-caputo operator, Extremal solutions, Monotone iterative style, Upper (lower) solutions, Boundary conditions

Publication Title

Fractal and Fractional

Volume

5

Issue

3

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