Residual power series method for fractional Swift–Hohenberg equation

DG Prakasha, P Veeresha, HM Baskonus - Fractal and fractional, 2019 - mdpi.com
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) …

Analysis of fractional Swift‐Hohenberg equation using a novel computational technique

P Veeresha, DG Prakasha… - Mathematical Methods in …, 2020 - Wiley Online Library
In this paper, the approximated analytical solution for fractional Swift‐Hohenberg (S‐H)
equation is found with the aid of novel technique called q‐homotopy analysis transform …

A unified design of energy stable schemes with variable steps for fractional gradient flows and nonlinear integro-differential equations

R Qi, X Zhao - SIAM Journal on Scientific Computing, 2024 - SIAM
A unified discrete gradient structure of the second order nonuniform integral averaged
approximations for the Caputo fractional derivative and the Riemann–Liouville fractional …

The analytical analysis of nonlinear fractional-order dynamical models

J Xu, H Khan, R Shah, AA Alderremy, S Aly, D Baleanu - 2021 - earsiv.cankaya.edu.tr
The present research paper is related to the analytical solution of fractional-order nonlinear
Swift-Hohenberg equations using an efficient technique. The presented model is related to …

A novel treatment of fuzzy fractional Swift–Hohenberg equation for a hybrid transform within the fractional derivative operator

S Rashid, R Ashraf, FS Bayones - Fractal and Fractional, 2021 - mdpi.com
This article investigates the semi-analytical method coupled with a new hybrid fuzzy integral
transform and the Adomian decomposition method via the notion of fuzziness known as the …

[HTML][HTML] Time-fractional nonlinear Swift-Hohenberg equation: analysis and numerical simulation

WK Zahra, MA Nasr, D Baleanu - Alexandria Engineering Journal, 2020 - Elsevier
In this paper, a new scheme based on the exponential fitting technique is presented for
solving the nonlinear time-fractional Swift-Hohenberg equation, where the first and second …

Numerical solutions of conformable time-fractional Swift-Hohenberg equation with proportional delay by the novel methods

AS Erol, H Anaç, A Olgun - Karamanoğlu Mehmetbey Üniversitesi …, 2023 - dergipark.org.tr
The conformable fractional q-Shehu homotopy analysis transform method and the
conformable Shehu transform decomposition method are used to analyze the conformable …

Approximate solutions of time-fractional Swift–Hohenberg equation via natural transform decomposition method

K Pavani, K Raghavendar - International Journal of Applied and …, 2023 - Springer
In this study, we apply the natural transform decomposition approach to analyse the time-
fractional Swift–Hohenberg problem. The Caputo derivative, a well-known singular kernel …

[HTML][HTML] Analytical solution of non-linear fractional order Swift-Hohenberg equations

H Alrabaiah, I Ahmad, K Shah, I Mahariq… - Ain Shams Engineering …, 2021 - Elsevier
In this paper, we find approximate analytical solutions to fractional order “Swift-Hohenberg
equations” by using Laplace Adomian decomposition method (LADM). With the help of the …

An iterative method for time‐fractional Swift‐Hohenberg equation

W Li, Y Pang - Advances in Mathematical Physics, 2018 - Wiley Online Library
We study a type of iterative method and apply it to time‐fractional Swift‐Hohenberg equation
with initial value. Using this iterative method, we obtain the approximate analytic solutions …