Results in Mathematics

, 74:142 | Cite as

Mathematical Analysis of Implicit Impulsive Switched Coupled Evolution Equations

  • Asma
  • Ghaus ur RahmanEmail author
  • Kamal Shah


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.


Caputo fractional derivative switched couple system boundary conditions Hyers–Ulam stability fractional order differential equation 

Mathematics Subject Classification

34A08 34B15 34B27 



The authors are thankful to Higher Education Commission for approving SRGP project no: 21-1657/SRGP/R&D/HEC/2017.

Author Contributions

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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Authors and Affiliations

  1. 1.Department of MathematicsCOMSATS University Islamabad, Sahiwal CampusSahiwalPakistan
  2. 2.Department of Mathematics and StatisticsUniversity of SwatSwatPakistan
  3. 3.Department of MathematicsUniversity of MalakandDir(L)Pakistan

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