SOLUTION TO A SYSTEM OF NON-LINEAR FUZZY DIFFERENTIAL EQUATION WITH GENERALIZED HUKUHARA DERIVATIVE VIA FIXED POINT THEOREM-Reference-Cited by-同舟云学术

SOLUTION TO A SYSTEM OF NON-LINEAR FUZZY DIFFERENTIAL EQUATION WITH GENERALIZED HUKUHARA DERIVATIVE VIA FIXED POINT THEOREM

Published:2023-07-23 Issue:2 Volume:7 Page:473-485
ISSN:2587-2648
Container-title:Advances in the Theory of Nonlinear Analysis and its Application
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Author:

BASİL Sushma¹^ORCID,ANTONY Santhi²^ORCID

Affiliation:

1. PSGR Krishnammal College for Women

2. PSG College of Technology

Abstract

In this manuscript, we define a new class of control functions classified as ascendant functions. Consequently, we furnish a fuzzy coupled fixed point result, that is different from one available in the literature, using the notion of simulation function; in follow, we validate the result through a non-trivial example. As an inference, we use the result to analyze the existence of a solution for a non-linear system of fuzzy initial value problem involving generalized Hukuhara derivative.

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

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