Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions

Axioms

Dimplekumar Chalishajar¹  Jitendra Panchal²  Falguni Acharya²  Vandana Kushawaha³ 

[1] Department of Applied Mathematics, Virginia Military Institute, 435 Mallory Hall, Lexington, VA 24450, USA;Department of Applied Sciences & Humanities, Parul Institute of Engineering and Technology, Parul University, Vadodara 391760, India;Parul Institute of Applied Sciences, Parul University, Vadodara 391760, India;

关键词: controllability;    fuzzy set;    fuzzy number;    neutral impulsive differential equation;    fixed point;    fuzzy solution;   

DOI  :  10.3390/axioms10020084

来源: DOAJ

【 摘 要 】

In this paper, the controllability of fuzzy solutions for first order nonlocal impulsive neutral functional differential equations is explored using the Banach fixed point theorem. We utilized the concepts of the fuzzy set theory, functional analysis, and the Hausdorff metric. In the conclusion, an illustration is given to bolster the hypothesis.

【 授权许可】

Unknown