Results 51 to 60 of about 476 (175)

A Note on Conformable Double Laplace Transform and Singular Conformable Pseudoparabolic Equations

Journal of Function Spaces, 2020
In this work, we combine conformable double Laplace transform and Adomian decomposition method and present a new approach for solving singular one-dimensional conformable pseudoparabolic equation and conformable coupled pseudoparabolic equation ...
Hassan Eltayeb, Said Mesloub
doaj   +1 more source

Fractional Dynamics of Nonlinear Liquid Dispersion Pattern Drops: A Robust Analytical Study of Modulation Instability and Compacton Structures

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
Nonlinear dispersion phenomena in liquid media often lead to the formation of localized structures such as compact wave packets and dispersion drops. The present investigation demonstrates that the proposed analytical framework yields accurate approximate solutions, successfully captures compacton‐like structures, and clearly reveals the critical ...
Yogeshwari F. Patel, Mohammad Izadi, Hany M. Ahmed, Rajesh Kumar   +3 more
wiley   +1 more source

THE APPROXIMATE SOLUTIONS OF FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS BY USING ANALYTICAL TECHNIQUES

Проблемы анализа, 2018
This paper demonstrates a study on some significant latest innovations in the approximation techniques to find the approximate solutions of Caputo fractional Volterra-Fredholm integro-differential equations.
Hamoud Ahmed A., Ghadle Kirtiwant P.
doaj   +1 more source

On Semi-Analytical Solutions for Linearized Dispersive KdV Equations

Mathematics, 2020
The most well-known equations both in the theory of nonlinearity and dispersion, KdV equations, have received tremendous attention over the years and have been used as model equations for the advancement of the theory of solitons.
Appanah Rao Appadu, Abey Sherif Kelil
doaj   +1 more source

Application of A domian Decomposition method for Solving Fractional Differential Equation [PDF]

مجلة التربية والعلم, 2009
In this paper we apply the Adomian decomposition method to find solution of fractional differential equation: , (1.1) and m is integer number, with two different initial condition the first is , where C1, C2,... are constant, the second initial condition
Shayma Murad, Shaker Rasheed
doaj   +1 more source

Improved Analytical Technique Based on Laplace Transform and Homotopy Perturbation Method for Solving Fractional Bratu‐Type Equations

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This study presents a modified Laplace transform homotopy perturbation method (MLT‐HPM) for obtaining approximate solutions for fractional‐order Bratu‐type ordinary differential equations involving Caputo fractional derivatives. The proposed modification introduces a specific rule for selecting the initial solution, replacing the conventional random ...
Ibrahim Hailat, Patricia J. Y. Wong
wiley   +1 more source

Numerical inverse Laplace transform based on Bernoulli polynomials operational matrix for solving nonlinear differential equations

Results in Physics, 2020
A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol ...
Dimple Rani, Vinod Mishra
doaj   +1 more source

Laplace Adomian decomposition method for integro differential equations on time scale

Ain Shams Engineering Journal
The aim of this work is to probe the Laplace Adomian decomposition method (LADM) for some certain linear and non-linear integro-differential equations on an arbitrary time scales. Although, several researchers have treated integro-differential equations (linear/nonlinear) utilizing different techniques, but most of them were based on classical calculus.
Shafiq Hussain, Feroz Khan
openaire   +2 more sources

Bipolar Fuzzy Solution of the Bipolar Fuzzy Wave Equation Using Bipolar Fuzzy Fourier Sine Transform Under GH‐Differentiability

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The bipolar fuzzy wave equation is crucial for modeling wave phenomena in systems characterized by dual uncertainty involving both positive and negative aspects of imprecise information. This study presents an innovative analytical framework for solving bipolar fuzzy wave equations using bipolar fuzzy Fourier sine transform under generalized Hukuhara ...
Muhammad Bilal, Uzma Ahmad, Ghulam Muhammad, Hamed Alsulami, Shikha Binwal   +4 more
wiley   +1 more source

Solution of Time‐Fractional Coupled Burgers Equations by the Yang Transform Adomian Decomposition Method

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time‐fractional coupled Burgers equations. The technique solves the fractional and nonlinear terms successfully via the Adomian decomposition of the Yang transform.
Mustafa Ahmed Ali, Mehmet Merdan, Yeou Jiann Lim   +2 more
wiley   +1 more source