Work

Mild solution for nonlocal impulsive functional fuzzy nonlinear integro-differential equations

Year: 2025

Type: article

Abstract: The aim of this paper is to study the existence, uniqueness, and continuous dependence of fuzzy solutions for first-order, nonlocal, impulsive, functional, nonlinear integro-differential equations by using Banach and Krasnoselskii–Schaefer type fixed point theorems. The theorems on the existence and uniqueness of fuzzy solutions for these problems with nonlocal conditions are presented under certain assumptions, and fuzzy theory is the main technique used to establish these results. Finally, an example is given to clarify the effectiveness of this theory.

Source: Fixed Point Theory and Algorithms for Sciences and Engineering

DOI: 10.1186/s13663-024-00779-w

Authors: Najat H. M. Qumami, R. S. Jain, B. Surendranath Reddy

Institutions: Swami Ramanand Teerth Marathwada University, Hodeidah University

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

OpenAlex ID: W4410497690

FWCI:

Cites: 21

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Related to: 10