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Existence and asymptotic behavior of non-linear hybrid functional differential equations including the fuzzy Caputo Nabla fractional difference.

Authors :
El Ghazouani, Aziz
Amir, Fouad Ibrahim Abdou
Elomari, M'hamed
Melliani, Said
Source :
Mathematics in Engineering, Science & Aerospace (MESA). 2023, Vol. 14 Issue 3, p737-750. 14p.
Publication Year :
2023

Abstract

This article considers the fuzzy nonlinear neutral Caputo-Nabla difference equation of order 0<v<1. Krasnoselski's fixed point theorem is used to provide a sufficient condition for the existence of such solutions, and the principle of contraction maps ensures the solution's uniqueness. We provide fascinating results on stability and asymptotic stability. An example has been provided to demonstrate the significance of the results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20413165
Volume :
14
Issue :
3
Database :
Academic Search Index
Journal :
Mathematics in Engineering, Science & Aerospace (MESA)
Publication Type :
Academic Journal
Accession number :
172293611