A semi-analytical solutions of fractional Riccati's differential equation via singular and non-singular operators

Abstract

Looking for offer a solution of the Riccati's differential equations of fractional order (FRDEs) involving Caputo derivative (CD), Caputo-Fabrizio derivative (CFD) or Atangana-Baleanu derivative (ABD) in this comparative research is based on a semi-analytical iterative approach. Temimi and Ansari introduced this method and called it TAM. The comparison of the time used in minutes is given for three derivatives CD, CFD and ABD. Meanwhile, the comparison of the approximate solutions with CD, CFD and ABD are presented. Regarding the help of the software Mathematica, all the results have been obtained and the calculations have been done.