# Qualitative Theory and Numerical Simulation of SIRC Model Corresponding to Nonlocal Fractional Order derivative

Document Type : Original Article

Authors

1 Department of Mathematics, Govt P.G Jahanzeb College Swat, Khyber Pakhtunkhwa, Pakistan

2 Department of Mathematics, Islamia College University, Peshawar, Khyber Pakhtunkhwa, Pakistan.

Abstract

In this article, the existence theory and numerical solutions for fractional order SIRC model via nonlocal fractional order derivative are developed. Using the tools of analysis, the conditions for the existence and stability of the proposed model are established. With the help of Laplace Adomain Decomposition method, we obtain the approximate solutions for the underlying model. In the last part, using Matlab, we plotted various graphs to discuss the proposed model for different fractional order values of \$xi\$.

Keywords

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