Results 71 to 80 of about 1,952 (181)
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The system of nonlinear fractional partial differential equations (SNFPDEs) are widely used in modeling various phenomena in applied sciences. Consequently, finding the solutions to SNFPDEs has become paramount. Recently, an analytic method known as the Semiseparation of Variables Method (S‐SVM) has been applied to obtain the exact solution of the ...
Henry Kwasi Asiedu +4 more
wiley +1 more source
MathematicsThis 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
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Novel Technique for Solving Fractional‐Order Rabies Model With Computational Simulations
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.Mathematical modeling using noninteger‐order derivatives has gained rapid attention among scientists and researchers in recent years. This manuscript investigates the dynamics of rabies transmission in a predator–prey framework by formulating the problem as a system of nonlinear fractional initial value problems (FIVPs).
Hafiza Aansa Islam +3 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
The Analytic Methods for Solving the System of Fractional Order Brusselator Equations
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.Systems of fractional order Brusselator equations (SFBEs) have gained recent attention from researchers due to their relevance in the modeling of reaction‐diffusion processes in triple collision, enzymatic reactions, and plasma. Finding the solution to the SFBEs has become paramount in the scientific community.
Henry Kwasi Asiedu +4 more
wiley +1 more source
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
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study examined the multidimensional fractional diffusion equations that characterize the density dynamics in a diffusing medium utilizing the exact and analytical Aboodh transform decomposition method (ATDM). The Caputo–Fabrizio (CF) derivative is utilized to account for the fractional derivative that is being employed here.
Yasin Şahin +2 more
wiley +1 more source
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 +4 more
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Application of Adomian decomposition method to nonlinear systems
Advances in Difference Equations, 2020 In this paper, we study the Adomian decomposition method (ADM for short) including its iterative scheme and convergence analysis, which is a simple and effective technique in dealing with some nonlinear problems.
Wenjin Li, Yanni Pang
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Second Law Analysis of a Reactive MHD Couple Stress Fluid Through Porous Medium [PDF]
, 2017 In this work, effect of magnetic field on the entropy generation rate of a reactive couple stress fluid through porous medium is investigated. The equations governing the fluid flow are formulated, nondimensionalised and solved using the rapidly ...
Gbadeyan, J.A. +2 more
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