A Semi-analytical Solutions of Fractional Riccati Differential Equation via Singular and Non-singular Operators

In this paper, we investigate the solution of the Riccati dif- ferential equations of fractional order (FRDEs) involving Caputo deriva- tive (CD), Caputo-Fabrizio derivative (CFD) or Atangana-Baleanu deriva- tive (ABD) using a semi-analytical iterative approach. Temimi and Ansari introduced this method and called it TAM. The linearization of the method involves splitting the problem into a linear and nonlinear part. While this approach is a semi-analytical iterative technique, there is a signicant amount of analytical work where the computational times of integrals are needed to be carried out numerically. The novelty and the motivation behind this paper is the comparison of the time used in minutes which is given for three derivatives: CD, CFD and ABD. Mean- while, the comparison of the approximate solutions with CD, CFD and ABD are presented. With the help of the software Mathematica, the computational results have been obtained.