Nonlocal Hybrid Integro-Differential Equations Involving Atangana–Baleanu Fractional Operators

Saleh Alshammari, Mohammad Alshammari, Mohammed S. Abdo and Yusuf Gurefe

Journal of Mathematics, 2023, vol. 2023, 1-11

Abstract: In this study, we develop a theory for the nonlocal hybrid boundary value problem for the fractional integro-differential equations featuring Atangana–Baleanu derivatives. The corresponding hybrid fractional integral equation is presented. Then, we establish the existence results using Dhage’s hybrid fixed point theorem for a sum of three operators. We also offer additional exceptional cases and similar outcomes. In order to demonstrate and verify the results, we provide an example as an application.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5891342

DOI: 10.1155/2023/5891342

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