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

Mohammad Adabitabar Firozja, Bahram Agheli


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.


Semi-analytical method, Riccati's differential equations, Caputo-Fabrizio derivative, Atangana-Baleanu derivative, Caputo derivative.

Full Text: PDF


  • There are currently no refbacks.

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.