Vivek, D (2022) Qualitative Analysis of Quaternion Fuzzy Fractional Differential Equations with Ξ-Hilfer Fractional Derivative August 2022. Qualitative Analysis of Quaternion Fuzzy Fractional Differential Equations with Ξ-Hilfer Fractional Derivative, 6.
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Abstract
In this work, we discuss the existence and stability of solution for a quaternion fuzzyfractional differential equation in the generalized regular fuzzy function space withΞ-Hilferfractional derivative. First of all, we give some definitions, theorems, and lemmas that arenecessary for the understanding of the manuscript. Second of all, we give our first existenceresult, based on fixed point theorem and to deal with the uniqueness result. Next, this article isdevoted to the investigation of the stability results. We employed a version of Piccard operatortheorem to study the stability in the sense of Ulam-Hyers. In the end, we provide a couple ofexamples to illustrate our result
| Item Type: | Article |
|---|---|
| Divisions: | PSG College of Arts and Science > Department of Mathematics |
| Depositing User: | Dr. B Sivakumar |
| Date Deposited: | 01 Nov 2025 04:20 |
| Last Modified: | 01 Nov 2025 04:20 |
| URI: | https://ir.psgcas.ac.in/id/eprint/2493 |
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