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Existence of local and global solutions to fractional order fuzzy delay differential equation with non-instantaneous impulses
Journal article   Open access  Peer reviewed

Existence of local and global solutions to fractional order fuzzy delay differential equation with non-instantaneous impulses

Anil Kumar, Muslim Malik, Mohammad Sajid, Dumitru Baleanu and School of Basic Sciences, Indian Institute of Technology Mandi, India
AIMS mathematics, Vol.7(2), pp.2348-2369
01/01/2022

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
url
https://doi.org/10.3934/math.2022133View
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