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