On Impulsive Nonlocal Nonlinear Fuzzy Integro-Differential Equations in Banach Space

Authors

Najat H.M Qumami School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded 431606, India https://orcid.org/0000-0002-8329-7641
R. S. Jain School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded 431606, India https://orcid.org/0000-0003-0481-4944
B. Surendranath Reddy School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded 431606, India https://orcid.org/0000-0001-7578-3685

DOI:

https://doi.org/10.37256/cm.5420242578

Keywords:

nonlocal condition, fixed point, fuzzy nonlinear integro-differential equations, mild solution

Abstract

The aim of this article is to investigate the existence, uniqueness and other qualitative properties of the solution of first-order nonlocal impulsive nonlinear fuzzy integro-differential equations in Banach space by using the concept of fuzzy numbers whose values are normal, upper semicontinuous, compact, and convex. The result is attained by utilizing a modified version of the Banach contraction principle. We offer an example as an application of the results.

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Published

2024-10-18

Issue

Contemporary Mathematics, Volume 5 Issue 4 (2024), 4132-6581

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.