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Mathematical Analysis of Implicit Impulsive Switched Coupled Evolution Equations
Journal article   Peer reviewed

Mathematical Analysis of Implicit Impulsive Switched Coupled Evolution Equations

Asma, Ghaus Ur Rahman and Kamal Shah
Resultate der Mathematik, Vol.74(4), p.1
01/12/2019

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In the present manuscript a novel type of implicit switched coupled evolution system is studied. The underlying system is formulated with fractional order differential operator while incorporating impulses in the solution. Reducing the proposed model into fixed point problem, results for the existence and uniqueness of solution are exhibited. Also, we established results related to Hyers-Ulam type stability of the solution. An illustrative example is also solved to support the obtained theoretical results.

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