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

Saeed M. Ali | Zendy; Wasfı Shatanawi | Zendy; Mohammed D. Kassim | Zendy; Mohammed S. ‬Abdo | Zendy; S. Saleh | Zendy

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

Author(s) -

Saeed M. Ali,

Wasfı Shatanawi,

Mohammed D. Kassim,

Mohammed S. ‬Abdo,

S. Saleh

Publication year - 2022

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2022/8103046

Subject(s) - mathematics , banach space , uniqueness , fixed point theorem , fractional calculus , type (biology) , class (philosophy) , kernel (algebra) , frame (networking) , stability (learning theory) , pure mathematics , mathematical analysis , nonlinear system , computer science , ecology , telecommunications , artificial intelligence , machine learning , biology , physics , quantum mechanics

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.

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