%0 Journal Article
%T Qualitative Theory and Numerical Simulation of SIRC Model Corresponding to Nonlocal Fractional Order derivative
%J Communications in Nonlinear Analysis
%I Zanco Publishing
%Z 2371-7920
%A Ali, Amjad
%A Khan, Muhammad Yasin
%A Ali, Gohar
%D 2020
%\ 12/01/2020
%V 9
%N 1
%P 1-20
%! Qualitative Theory and Numerical Simulation of SIRC Model Corresponding to Nonlocal Fractional Order derivative
%K Fractional derivatives
%K Fixed point theory
%K Ulams type Stabilities
%K Mathematical Modeling
%K Approximate solutions
%K Laplace-Adomian decomposition method
%R
%X 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 $xi$.
%U