Two novel computational techniques for fractional Gardner and Cahn‐Hilliard equations
DG Prakasha, P Veeresha… - Computational and …, 2019 - Wiley Online Library
The numerical solutions for nonlinear fractional Gardner and Cahn‐Hilliard equations
arising in fluids flow are obtained with the aid of two novel techniques, namely, fractional …
arising in fluids flow are obtained with the aid of two novel techniques, namely, fractional …
Analytical investigation of fractional-order Cahn–Hilliard and gardner equations using two novel techniques
In this paper, we used the natural decomposition approach with non-singular kernel
derivatives to find the solution to nonlinear fractional Gardner and Cahn–Hilliard equations …
derivatives to find the solution to nonlinear fractional Gardner and Cahn–Hilliard equations …
[HTML][HTML] Analytical behavior of soliton solutions to the couple type fractional-order nonlinear evolution equations utilizing a novel technique
Shallow water waves are one of the most prominent and widely used waves in coastal
areas. The anomalous bi-directional transmission of long waves over shallow water is …
areas. The anomalous bi-directional transmission of long waves over shallow water is …
Radiative flow of non Newtonian nanofluids within inclined porous enclosures with time fractional derivative
An unsteady convection-radiation interaction flow of power-law non-Newtonian nanofluids
using the time-fractional derivative is examined. The flow domain is an enclosure that has a …
using the time-fractional derivative is examined. The flow domain is an enclosure that has a …
Radiative MHD bioconvective nanofluid flow due to gyrotactic microorganisms using Atangana–Baleanu Caputo fractional derivative
In this paper, the Atangana–Baleanu Caputo (ABC) sense is applied on the unsteady MHD
bioconvection nanofluid boundary layer flow due to gyrotactic microorganisms. The effects of …
bioconvection nanofluid boundary layer flow due to gyrotactic microorganisms. The effects of …
Construction of fractional series solutions to nonlinear fractional reaction–diffusion for bacteria growth model via Laplace residual power series method
In this paper, a new Laplace residual power series (LRPS) algorithm has been constructed
to yield approximate series solutions (ASSs) of the nonlinear fractional differential system …
to yield approximate series solutions (ASSs) of the nonlinear fractional differential system …
The analytical solutions to the fractional Kraenkel–Manna–Merle system in ferromagnetic materials
In this article, we examine the Kraenkel–Manna–Merle system (KMMS) with an M-truncated
derivative (MTD). Our goal is to obtain rational, hyperbolic, and trigonometric solutions by …
derivative (MTD). Our goal is to obtain rational, hyperbolic, and trigonometric solutions by …
Residual power series method for fractional Swift–Hohenberg equation
In this paper, the approximated analytical solution for the fractional Swift–Hohenberg (S–H)
equation has been investigated with the help of the residual power series method (RPSM) …
equation has been investigated with the help of the residual power series method (RPSM) …
[HTML][HTML] A semi-analytic method to solve nonlinear differential equations with arbitrary order
JP Chauhan, SR Khirsariya - Results in Control and Optimization, 2023 - Elsevier
In this paper, we describe the new Adomian Decomposition General Transform Method
(ADGTM). Further, the efficacy of the method is proved by applying it to well-known …
(ADGTM). Further, the efficacy of the method is proved by applying it to well-known …
Impacts of the fractional derivatives on unsteady magnetohydrodynamics radiative Casson nanofluid flow combined with Joule heating
This paper presents a mathematical formulation and numerical simulations of an unsteady
magnetohydrodynamic non-Newtonian nanofluid flow and entropy generation over a vertical …
magnetohydrodynamic non-Newtonian nanofluid flow and entropy generation over a vertical …