Results 91 to 100 of about 7,330 (206)

Existence, Stability, and Numerical Methods for Multi-Fractional Integro-Differential Equations with Singular Kernel

Mathematics
This work investigates the solutions of fractional integro-differential equations (FIDEs) using a unique kernel operator within the Caputo framework. The problem is addressed using both analytical and numerical techniques.
Pratibha Verma, Wojciech Sumelka
doaj   +1 more source

The Exact Solutions of the Fractional Partial Differential Equations Using the Fractional Prabhakar Power Series Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Fractional Power Series Method (FPSM) is a method which provides systematic procedure to obtain exact solution of the Fractional Partial Differential Equations (FPDEs). Recently, the FPSM has been applied in science and engineering to address physical problems in heat conduction, fluid dynamics, quantum mechanics, viscoelastic and so on ...
Isaac Addai, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah, Shikha Binwal   +4 more
wiley   +1 more source

A comparative study of a system of Lotka-Voltera type of PDEs through perturbation methods [PDF]

Computational Ecology and Software, 2013
In this paper the Adomian Decomposition Method (ADM) is employed in order to solve linear and nonlinear functional equations and the results are then compared with those produced by Homotopy Perturbation Method (HPM) through a system of Lotka Voltera ...
T. Khan, et al., M. Shakil, H. A. Waha
doaj  

Modeling the instability of CNT tweezers using a continuum model [PDF]

, 2014
Carbon nanotube (CNT) tweezers are composed of two parallel cantilever CNTs with a distance in between. In this paper, the static response and instability of CNT-made nano-tweezers is theoretically investigated considering the effects of Coulomb ...
Abadyan, Mohamadreza., Farrokhabadi, Amin., Koochi, Ali.   +2 more
core  

Approximate Solution of Intuitionistic Fuzzy Volterra Integral Equation of Separable‐Type Kernel Using Elzaki Adomian Decomposition Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty. This work presents an approximate solution to the Volterra integral equation that involves both membership and nonmembership degrees of uncertainty named as intuitionistic fuzzy ...
Zain Khan, Saleem Abdullah, Samuel Okyere, Bikash Koli Dey   +3 more
wiley   +1 more source

On the Inverse Problem of the Fractional Heat-Like Partial Differential Equations: Determination of the Source Function

Advances in Mathematical Physics, 2013
The study in this paper mainly concerns the inverse problem of determining an unknown source function in the linear fractional differential equation with variable coefficient using Adomian decomposition method (ADM).
Gülcan Özkum, Ali Demir, Sertaç Erman, Esra Korkmaz, Berrak Özgür   +4 more
doaj   +1 more source

Series and Rational Solutions of the Second Kind Painlevé Equations by Using the Quantum Pseudospectral Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Painlevé equations and their series and rational solutions are essential in applied, pure mathematics and theoretical physics. Recently, quantum algorithms have helped to implement numerical algorithms more easily by performing linear algebra in our working. This article uses a hybrid of quantum computing schemes and spectral methods for the second
Saeid Abbasbandy, Shikha Binwal
wiley   +1 more source

Classical vs. spectral Adomian decomposition: A comparative solution of the strongly nonlinear corneal shape equation

Kuwait Journal of Science
This study presents a comparative analysis of the classical Adomian decomposition method (ADM) and the spectral Adomian decomposition method (SADM) for solving the strongly nonlinear boundary value problem governing the human corneal shape.
Mohammed Abdalbagi
doaj   +1 more source

Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods

Journal of Applied Mathematics, 2014
The modified decomposition method (MDM) and homotopy perturbation method (HPM) are applied to obtain the approximate solution of the nonlinear model of tumour invasion and metastasis.
Norhasimah Mahiddin, S. A. Hashim Ali
doaj   +1 more source

Application of Modified Laplace Variational Iteration Hybrid Approach for Solving Time‐Fractional Fourth‐Order Parabolic PDEs

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
The current study is aimed at obtaining analytical solutions of fourth‐order parabolic partial differential equations of time‐fractional derivative with variable coefficients. The modified Laplace variational iteration approach and the homotopy perturbation method were used to treat nonlinear, fourth‐order, time‐fractional partial differential ...
Mehari Fentahun Endalew, Xiaoming Zhang, Arpan Hazra   +2 more
wiley   +1 more source