Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory
Year: 2023
Type: article
Abstract: The key objective of the current work is to examine the behavior of the nonlinear fractional Riccati differential equation associated with the Caputo–Prabhakar derivative. An efficient computational scheme, that is, a mixture of homotopy analysis technique and sumudu transform, is used to solve the nonlinear fractional Riccati differential equation. The convergence and uniqueness analysis for the solution of the implemented technique is shown. In addition, the numerical consequences are demonstrated in the form of graphical representations to verify the reliability of the applied method in obtaining the solution to the mathematical model with Prabhakar-type memory.
Source: Mathematics
DOI: 10.3390/math11030644
Authors: Jagdev Singh, Arpita Gupta, Devendra Kumar
Institutions: JECRC University, University of Rajasthan
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,336
OpenAlex ID: W4318485166