A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator

Abstract

The fractional Casson uid model has been considered in this paper in the context of the Goodman boundary conditions. A new approach for getting the solutions of the Casson uid models have been proposed. There is the Double integral method and the Heat balance integral method. These two methods constitute the integral balance method. In these methods, the exponent of the approximate solutions is an open main problem, but this issue is intuitively solved by using the so-called matching method. The graphical representations of the solutions of the fractional Casson uid model support the main results that have been presented. In our investigations, the Caputo derivative has been used.

A Prabhakar Fractional Approach for the Convection Flow of Casson Fluid across an Oscillating Surface Based on the Generalized Fourier Law

“…The Prabhakar fractional derivative was used to analyze the behavior of Casson fluid using the Laplace transform method. To get a physical understanding of flow parameters, particularly fractional parameters, and to look at some additional graphs from [2][3][4][5][6][7][8][9][10][11][12][13].…”

“…Based on generalized Fourier's and Fick's laws, as well as mass and heat transfer, new fractional derivative model Casson fluid has been developed by Sheikh et al [4]. A new method for solving the fractional generalized Casson fluids model of the Caputo fractional operator has been developed by Ndolane [5]. Arif et al [6] deliberated applications of motor oil using a fractional model of Casson fluids of ramped wall temperature.…”