Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory

The key objective of the current work is to examine behavior nonlinear fractional Riccati differential equation associated with Caputo–Prabhakar derivative. An efficient computational scheme, that is, a mixture homotopy analysis technique and sumudu transform, used solve equation. convergence uniqueness for solution implemented shown. In addition, numerical consequences are demonstrated in form graphical representations verify reliability applied method obtaining mathematical model Prabhakar-type memory.