A novel computational method for solving the fractional SIS epidemic model of two different fractional operators

Abstract

This study proposes a novel computational method for solving the fractional SIS epidemic model involving the Caputo and Caputo-Fabrizio fractional derivatives, that called Elzaki differential transform method (EDTM) which is a coupling of two powerful methods: the Elzaki transform method and the differential transform method. To demonstrate the effectiveness and advantage of the proposed method, a numerical example is presented. The results obtained by the EDTM are compared with well-known exact solutions. This results show that this method is very effective and more accurate for solving this type of problem. Therefore, our proposed method can be employed to study the solutions of a wide range of real problems arising in engineering and natural sciences, which can be modeled by a fractional differential equations.