A numerical computational technique for solving controllability of impulsive Hilfer fractional integro-differential equation with order ϑ∈(1,2)

The primary focus of this paper is the concept of controllability criteria for the impulsive Hilfer fractional integro-differential equation (IHFrIDE) of order 0≤ϖ≤1 and 1<ϑ<2 in Hilbert space. We use the iterative process and the strongly cosine family to obtain a given system outcome. We use...

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Bibliographic Details

Published in:	Partial Differential Equations in Applied Mathematics
Main Authors:	Kanagaraj Muthuselvan, Baskar Sundaravadivoo, Kottakkaran Sooppy Nisar, Fahad Sameer Alshammari
Format:	Article
Language:	English
Published:	Elsevier 2024-09-01
Subjects:	Hilfer fractional derivative Strongly cosine family Degree theory Gronwall’s inequality
Online Access:	http://www.sciencedirect.com/science/article/pii/S2666818124001645