Optical solitons for the Calogero-Bogoyavlenskii-Schiff equation in (2+ 1) dimensions with time-fractional conformable derivative

Z Hammouch, T Mekkaoui, P Agarwal - The European Physical Journal …, 2018 - Springer
In this article, we construct new explicit solutions for a time-fractional nonlinear Calogero-
Bogoyavlenskii-Schiff equation in (2+1) (2+ 1) dimensions with conformable derivative with …

Comparative study of homotopy perturbation transformation with homotopy perturbation Elzaki transform method for solving nonlinear fractional PDE

P Singh, D Sharma - Nonlinear Engineering, 2019 - degruyter.com
We apply homotopy perturbation transformation method (combination of homotopy
perturbation method and Laplace transformation) and homotopy perturbation Elzaki …

Implementation and convergence analysis of homotopy perturbation coupled with Sumudu transform to construct solutions of local-fractional PDEs

K Ait Touchent, Z Hammouch, T Mekkaoui… - Fractal and …, 2018 - mdpi.com
In the present paper, the explicit solutions of some local fractional partial differential
equations are constructed through the integration of local fractional Sumudu transform and …

Convergence and error analysis of series solution of nonlinear partial differential equation

P Singh, D Sharma - Nonlinear Engineering, 2018 - degruyter.com
A hybrid method of Sumudu transforms and homotopy perturbation method (HPM) is used to
solve nonlinear partial differential equation. Here the nonlinear terms are handled with He's …

A Boiti-Leon Pimpinelli equations with time-conformable derivative

KA Touchent, Z Hammouch, T Mekkaoui… - An International Journal of …, 2019 - ijocta.org
In this paper, we derive some new soliton solutions to $(2+ 1) $-Boiti-Leon Pempinelli
equations with conformable derivative by using an expansion technique based on the Sinh …

Accelerated HPSTM: An efficient semi-analytical technique for the solution of nonlinear PDE's

D Grover, D Sharma, P Singh - Nonlinear Engineering, 2020 - degruyter.com
In this paper a novel technique ie accelerated homotopy perturbation Sumudu
transformation method (AHPSTM), which is a hybrid of accelerated homotopy perturbation …

On the problem of convergence of series solution of non-linear fractional partial differential equation

P Singh, D Sharma - AIP conference proceedings, 2017 - pubs.aip.org
Series solution is obtained on solving non-linear fractional partial differential equation using
homotopy perturbation transformation method. First of all, we apply homotopy perturbation …

[HTML][HTML] A robust regime via Sumudu HPM for Schrödinger equation in different dimensions

M Kapoor - Results in Optics, 2024 - Elsevier
Abstract Sumudu Transform Homotopy Perturbation Method (STHPM), a hybrid algorithm
that combines semi-analytical regime “Homotopy Perturbation Method” and an integral …

Sumudu transform with modified homotopy perturbation method to solve two point singular boundary value problems

AAL Nemrat, Z Zainuddin - Journal of Physics: Conference …, 2018 - iopscience.iop.org
In this paper, a class of two point singular boundary value problems (SBVPs) has been
solved by a new powerful technique. This technique relies on the Sumudu transform (ST) …

Solving fractional difference equations by discrete Adomian decomposition method

F Özpınar - Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 - dergipark.org.tr
In this paper, we propose the discrete Adomian decomposition method (DADM) to solve
linear as well as nonlinear fractional partial difference equations and provide few examples …