On the boundary value problem of nonlinear fractional integro-differential equations

Date

2022

Authors

Li, Chenkuan
Saadati, Reza
Srivastava, Rekha
Beaudin, Joshua

Journal Title

Journal ISSN

Volume Title

Publisher

Mathematics

Abstract

Using Banach’s contractive principle and the Laray–Schauder fixed point theorem, we study the uniqueness and existence of solutions to a nonlinear two-term fractional integro-differential equation with the boundary condition based on Babenko’s approach and the Mittag–Leffler function. The current work also corrects major errors in the published paper dealing with a one-term differential equation. Furthermore, we provide examples to illustrate the application of our main theorems.

Description

Keywords

Liouville-Caputo integro-differential equation, Laray-Schauder fixed point theorem, Banach's contractive principle, Mittag-Leffler function, Babenko's approach

Citation

Li, C., Saadati, R., Srivastava, R., & Beaudin, J. (2022). “On the boundary value problem of nonlinear fractional integro-differential equations.” Mathematics, 10(12), 1971. https://doi.org/10.3390/math10121971