• Subodh Pratap Singh
• Amardeep Singh

The paper includes the solution of Riccati differential equation by the Frcational Homotopy Perturbation Transform Method (FHPTM). Traditional Variational Iteration Method (VIM) is used to solve the Riccati equation. It is observed that good approximations by VIM are obtained for the solution of Riccati equation. However, the limitation is that solution of Riccati equations are obtained only in the neighborhood of the initial position. Thus, the method FHPTM has an advantage that convergence region of iteration solutions is increased. Numerical results suggest the application of the FHPTM techniques effectively.

Fractional Homotopy Perturbation Transform Method; Fractional Partial Differential Equations; Riccati Differential Equations; FHPTM; Riccati Equation; Nonlinear Partial Differential Equation.

"A Fractional Homotopy Perturbation Transform Method for Solving Riccati Differential Equations", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.9, Issue 6, page no.e421-e430, June-2022, Available :http://www.jetir.org/papers/JETIR2206450.pdf

"A Fractional Homotopy Perturbation Transform Method for Solving Riccati Differential Equations", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.9, Issue 6, page no. ppe421-e430, June-2022, Available at : http://www.jetir.org/papers/JETIR2206450.pdf