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Existence Results for Fuzzy Differential Equations with ψ-Hilfer Fractional

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.

Department of Mathematics, Psg College of Arts and Science, Coimbatore-641014, India.

Department of Mathematics, Faculty of Science,mansoura University, Mansoura 35516, Egypt.

* Corresponding Author
Annals of Communications in Mathematics 2022
, 5 (1),
38-54.
https://doi.org/10.62072/acm.2022.050104
Received: 19 March 2022 |
Accepted: 30 May 2022 |
Published: 30 Jun 2022

Abstract

This manuscript concerns the fuzzy differential equation involving ψ-Hilfer type fractional derivative with nonlocal condition. By using successive approximation, we obtain the existence, uniqueness results of solution for ψ-Hilfer fuzzy differential equation. Further, nonlocal conditions are extended to the existence results. Furthermore, an application is shown to demonstrate the theoretical conclusions utility.

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Cite This Article

Existence Results for Fuzzy Differential Equations with ψ-Hilfer Fractional.

Annals of Communications in Mathematics,

2022,
5 (1):
38-54.
https://doi.org/10.62072/acm.2022.050104
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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