Mathematical Analysis of Implicit Impulsive Switched Coupled Evolution Equations
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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.
KeywordsCaputo fractional derivative switched couple system boundary conditions Hyers–Ulam stability fractional order differential equation
Mathematics Subject Classification34A08 34B15 34B27
The authors are thankful to Higher Education Commission for approving SRGP project no: 21-1657/SRGP/R&D/HEC/2017.
All the authors equally contributed and approved the final draft of the manuscript.
The research is supported by Higher Education Commission(HEC) Islamabad through Project No. (21-1657/SRGP/R&D/HEC/2017) and the present research work is a part of the aforementioned project.
Compliance with Ethical Standards
Conflict of interest
It is declared that no competing interest exists among the authors regarding this manuscript.
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