On the existence for impulsive fuzzy nonlinear integro-differential equations with nonlocal condition

Volume 32, Issue 1, pp 13--24 http://dx.doi.org/10.22436/jmcs.032.01.02
Publication Date: June 01, 2023 Submission Date: February 22, 2023 Revision Date: March 09, 2023 Accteptance Date: May 11, 2023

Authors

N. H. M. Qumami - School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606, India. R. S. Jain - School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606, India. B. S. Reddy - School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606, India.


Abstract

This work is involved with first-order impulsive functional nonlinear fuzzy integro-differential equations with nonlocal condition in Banach space by using the concept of fuzzy numbers whose values are upper semicontinuous, normal, convex, and compact. The result is obtained by using the Leray-Schauder alternative fixed point theorem. Finally, an application is given that supports us to validate the result.


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ISRP Style

N. H. M. Qumami, R. S. Jain, B. S. Reddy, On the existence for impulsive fuzzy nonlinear integro-differential equations with nonlocal condition, Journal of Mathematics and Computer Science, 32 (2024), no. 1, 13--24

AMA Style

Qumami N. H. M., Jain R. S., Reddy B. S., On the existence for impulsive fuzzy nonlinear integro-differential equations with nonlocal condition. J Math Comput SCI-JM. (2024); 32(1):13--24

Chicago/Turabian Style

Qumami, N. H. M., Jain, R. S., Reddy, B. S.. "On the existence for impulsive fuzzy nonlinear integro-differential equations with nonlocal condition." Journal of Mathematics and Computer Science, 32, no. 1 (2024): 13--24


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