On the Boundary Value Problem of Nonlinear Fractional Integro-Differential Equations

Mathematics

卷:10

Chenkuan Li¹  Joshua Beaudin¹  Rekha Srivastava²  Reza Saadati³ 

[1] Department of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, Canada;

[2] Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada;

[3] School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 13114-16846, Iran;

关键词: Liouville–Caputo integro-differential equation;    Laray–Schauder fixed point theorem;    Banach’s contractive principle;    Mittag–Leffler function;    Babenko’s approach;   

DOI  :  10.3390/math10121971

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown