Results 21 to 30 of about 1,147 (198)

Approximate Solutions of the Generalized Abel’s Integral Equations Using the Extension Khan’s Homotopy Analysis Transformation Method [PDF]

Journal of Applied Mathematics, 2015
User friendly algorithm based on the optimal homotopy analysis transform method (OHATM) is proposed to find the approximate solutions to generalized Abel’s integral equations. The classical theory of elasticity of material is modeled by the system of Abel integral equations.
Mohamed S. Mohamed, Khaled A. Gepreel, Faisal Al-Malki, Maha Al-humyani   +3 more
openaire   +4 more sources

Investigation of fractional order covid-19 model with q-homotopy analysis transform method

Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi
The primary objective of this paper is to derive approximate analytic solutions for the time fractional-order Covid-19 model by employing the q-homotopy analysis transform method (q-HATM) and the Laplace transform homotopy perturbation method (LT-HPM).
Merdan, Mehmet, Açikgöz, Pınar
openaire   +3 more sources

Prospective Analysis of Time-Fractional Emden–Fowler Model Using Elzaki Transform Homotopy Perturbation Method

Fractal and Fractional
The present study presents a combination of two famous analytical techniques for the analytical solutions of linear and nonlinear time-fractional Emden–Fowler models. We combine the Elzaki transform (ET) and the homotopy perturbation method (HPM) for the development of the Elzaki transform homotopy perturbation method (ET-HPM).
Muhammad Nadeem, Loredana Florentina Iambor   +1 more
openaire   +3 more sources

Homotopy Analysis Transform Method for Solving Systems of Fractional-Order Partial Differential Equations

Fractal and Fractional
This paper proposes an innovative method that combines the homotopy analysis method with the Jafari transform, applying it for the first time to solve systems of fractional-order linear and nonlinear differential equations.
Fang Wang, Qing Fang, Yanyan Hu
doaj   +2 more sources

Time-fractional partial differential equations: a novel technique for analytical and numerical solutions

Arab Journal of Basic and Applied Sciences, 2022
We use the q-homotopy analysis Shehu transform method in this article to obtain analytical and numerical solutions to time fractional partial differential equations.
Lokesh Kumar Yadav, Garima Agarwal, D. L. Suthar, S. D. Purohit   +3 more
doaj   +1 more source

SOLVING FRACTIONAL INTEGRO DIFFERENTIAL EQUATIONS BY HOMOTOPY ANALYSIS TRANSFORM METHOD [PDF]

International Journal of Pure and Apllied Mathematics, 2016
In this paper, we introduce an analytical method, which is so called the homotopy analysis transform method (HATM) which is a combination of HAM and Laplace decomposition method (LDM).This scheme is simple to apply linear and nonlinear fractional integro-differential equation and having less computational work in comparison of other exiting methods.The
M.S. Mohamed, M.R. Alharthi, Refah A. Alotabi   +2 more
openaire   +1 more source

An efficient hybrid technique for the solution of fractional-order partial differential equations

Karpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, a hybrid technique called the homotopy analysis Sumudu transform method has been implemented solve fractional-order partial differential equations.
H.K. Jassim, H. Ahmad, A. Shamaoon, C. Cesarano   +3 more
doaj   +1 more source

Some numerical solutions of local fractional tricomi equation in fractal transonic flow

Alexandria Engineering Journal, 2021
We investigate numerical solutions of fractional-order Tricomi equation (LFTE) in fractal transonic flow media by employing the method of local fractional q-homotopy transform (LFq-HATM). This method is a combination of methods of homotopy analysis and q-
Mustafa Inc, Zeliha Korpinar, Bandar Almohsen, Yu-Ming Chu   +3 more
doaj   +1 more source

The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach

Journal of Function Spaces, 2022
This article introduces modified semianalytical methods, namely, the Shehu decomposition method and q-homotopy analysis transform method, a combination of decomposition method, the q-homotopy analysis method, and the Shehu transform method to provide an ...
E. M. Elsayed, Rasool Shah, Kamsing Nonlaopon   +2 more
doaj   +1 more source

A Reliable Combination of Double Laplace Transform and Homotopy Analysis Method for Solving a Singular Nonlocal Problem with Bessel Operator

, 2023
In this article, we present a numerical iterative scheme for solving a non-local singular initial-boundary value problem by combining two well known efficient methods. Namely, the homotopy analysis method and the double Laplace transform method.
Hassan Eltayeb Gadain, Said Mesloub, Imed Bachar   +2 more
core   +1 more source