Approximate analytical methods for a fractional-order nonlinear system of Jaulent–Miodek equation with energy-dependent Schrödinger potential

S Alshammari, MM Al-Sawalha, R Shah - Fractal and Fractional, 2023 - mdpi.com
In this paper, we study the numerical solution of fractional Jaulent–Miodek equations with
the help of two modified methods: coupled fractional variational iteration transformation …

Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

M Şenol, OS Iyiola, H Daei Kasmaei… - Advances in Difference …, 2019 - Springer
In this paper, we present analytical-approximate solution to the time-fractional nonlinear
coupled Jaulent–Miodek system of equations which comes with an energy-dependent …

He's homotopy perturbation method for solving the space-and time-fractional telegraph equations

A Yıldırım - International Journal of Computer Mathematics, 2010 - Taylor & Francis
In this study, homotopy perturbation method (HPM) is used to obtain analytic and
approximate solutions of the space-and time-fractional telegraph equations. The space-and …

[图书][B] Wavelet methods for solving partial differential equations and fractional differential equations

SS Ray, AK Gupta - 2018 - taylorfrancis.com
The main focus of the book is to implement wavelet based transform methods for solving
problems of fractional order partial differential equations arising in modelling real physical …

An investigation with Hermite Wavelets for accurate solution of Fractional Jaulent–Miodek equation associated with energy-dependent Schrödinger potential

AK Gupta, SS Ray - Applied Mathematics and Computation, 2015 - Elsevier
In the present paper, a wavelet method based on the Hermite wavelet expansion along with
operational matrices of fractional derivative and integration is proposed for finding the …

An investigation of the influence of time evolution on the solution structure using hyperbolic trigonometric function methods

AA Mahmud, T Tanriverdi, KA Muhamad… - International Journal of …, 2024 - Springer
In attempting to mathematically create traveling wave solutions to the (2+ 1)-dimensional
integro-differential Jaulent–Miodek equation, the extended rational sinh-cosh technique and …

[图书][B] Generalized fractional order differential equations arising in physical models

SS Ray, S Sahoo - 2018 - taylorfrancis.com
This book analyzes the various semi-analytical and analytical methods for finding
approximate and exact solutions of fractional order partial differential equations. It explores …

Numerical simulation for fractional Jaulent–Miodek equation associated with energy-dependent Schrödinger potential using two novel techniques

P Veeresha, DG Prakasha, N Magesh… - Waves in Random …, 2021 - Taylor & Francis
In present work, we investigate the numerical solution of time-fractional Jaulent–Miodek (JM)
equations with the aid of two novel techniques namely, coupled fractional reduced …

[HTML][HTML] Solution of generalized fractional Jaulent–Miodek model with uncertain initial conditions

PP Sartanpara, R Meher, O Nikan, Z Avazzadeh - AIP Advances, 2023 - pubs.aip.org
This paper analyses a coupled system of generalized coupled system of fractional Jaulent–
Miodek equations, including uncertain initial conditions with fuzzy extension. In this regard …

[HTML][HTML] A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems

P Roul, U Warbhe - Journal of Computational and Applied Mathematics, 2016 - Elsevier
This paper deals with two new recursive numerical schemes for the solution of a class of
doubly singular two-point boundary value problems with different types of boundary …