Fuzzy Approximate Solutions of Matrix-Valued Fractional Differential Equations by Fuzzy Control Functions

Safoura Rezaei Aderyani, Reza Saadati (), Donal O’Regan and Fehaid Salem Alshammari
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Safoura Rezaei Aderyani: School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran
Reza Saadati: School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran
Donal O’Regan: School of Mathematical and Statistical Sciences, University of Galway, University Road, H91 TK33 Galway, Ireland
Fehaid Salem Alshammari: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh 11432, Saudi Arabia

Mathematics, 2023, vol. 11, issue 6, 1-16

Abstract: We apply Mittag–Leffler-type functions to introduce a class of matrix-valued fuzzy controllers which help us to propose the notion of multi-stability (MS) and to obtain fuzzy approximate solutions of matrix-valued fractional differential equations in fuzzy spaces. The concept of multi stability allows us to obtain different approximations depending on the different special functions that are initially chosen. Additionally, using various properties of a function of Mittag–Leffler type, we study the Ulam–Hyers stability (UHS) of the models.

Keywords: fractional differential equation; special function; Hilfer derivative (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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