Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations

In this article, we prove some new uniqueness and Ulam-Hyers stability results of a nonlinear generalized fractional integro-differential equation in the frame of Caputo derivative involving a new kernel in terms of another function ψ. Our approach is based on Babenko’s technique, Banach’s fixed poi...

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Bibliographic Details
Published in:Journal of function spaces 2022, Vol.2022, p.1-9
Main Authors: Ali, Saeed M., Shatanawi, Wasfi, Kassim, Mohammed D., Abdo, Mohammed S., Saleh, S.
Format: Article
Language:English
Subjects:
Calculus
Continuity (mathematics)
Differential equations
Fixed points (mathematics)
Integral equations
Integrals
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Summary:In this article, we prove some new uniqueness and Ulam-Hyers stability results of a nonlinear generalized fractional integro-differential equation in the frame of Caputo derivative involving a new kernel in terms of another function ψ. Our approach is based on Babenko’s technique, Banach’s fixed point theorem, and Banach’s space of absolutely continuous functions. The obtained results are demonstrated by constructing numerical examples.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/8103046