Author:
Kumar Anil, ,Malik Muslim,Sajid Mohammad,Baleanu Dumitru, , ,
Abstract
<abstract><p>The main concern of this manuscript is to examine some sufficient conditions under which the fractional order fuzzy delay differential system with the non-instantaneous impulsive condition has a unique solution. We also study the existence of a global solution for the considered system. Fuzzy set theory, Banach fixed point theorem and Non-linear functional analysis are the major tools to demonstrate our results. In last, an example is given to illustrate these analytical results.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference37 articles.
1. M. Benchohra, J. Henderson, S. Ntouyas, Impulsive differential equations and inclusions, New York: Hindawi Pub. Corp., 2006. doi: 10.1155/9789775945501.
2. V. Lakshmikantham, P. S. Simeonov, Theory of impulsive differential equations, World scientific, 1989. doi: 10.1142/0906.
3. M. Li, C. Kou, Existence results for second-order impulsive neutral functional differential equations with nonlocal conditions, Discrete Dyn. Nat. Soc., 2009 (2009), 641368. doi: 10.1155/2009/641368.
4. V. Kumar, M. Malik, Controllability results of fractional integro-differential equation with non-instantaneous impulses on time scales, IMA J. Math. Control Inf., 38 (2021), 211–231. doi: 10.1093/imamci/dnaa008.
5. K. Oldham, J. Spanier, The fractional calculus theory and applications of differentiation and integration to arbitrary order, New York: Academic Press, 1974.
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献