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

Document Type : Original Article


1 Govt Post Graduate Jahanzeb College Saidu Sharif Swat, KP, Pakistan

2 Department of Mathematics Islamia college peshawaer

3 Department of Mathematics Islamia college peshawer, kp, pakistan


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 $xi$.