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.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference22 articles.
1. Theory and Applications of Fractional Differential Equations;Kilbas,2006
2. Fractional Integrals and Derivatives: Theory and Applications;Samko,1993
3. Fractional Differential Equations;Podlubny,1999
4. The Fractional Calculus;Oldham,1974
5. Uniqueness of Solutions of the Generalized Abel Integral Equations in Banach Spaces
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