Solving an SEIRS-α‎ epidemic model using the third degree hat functions

‎In this paper, ‎numerical solution of a system of fractional differential equations which is the model of an epidemic disease is considered‎. ‎To this aim‎, ‎first‎, ‎third degree hat functions and their properties are introduced‎. After that‎, ‎using the expansion of the existing functions in the system in terms of the basis functions‎, ‎the system under consideration is transformed to a system of algebraic equations that can be solved using iterative methods‎. Then‎, ‎by solving the problem with a given initial data and comparing the results with the reported real data‎, ‎efficiency of the method is shown‎.