Results 61 to 70 of about 1,843 (199)
On the Fractional View Analysis of Keller–Segel Equations with Sensitivity Functions
Complexity, 2020 In this paper, the fractional view analysis of the Keller–Segal equations with sensitivity functions is presented. The Caputo operator has been used to pursue the present research work.
Haobin Liu +5 more
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
Hall Current and Joule Heating Effects on Flow of Couple Stress Fluid with Entropy Generation [PDF]
, 2018 In this work, an analytical study of the effects of Hall current and Joule heating on the entropy generation rate of couple stress fluid is performed. It is assumed that the applied pressure gradient induces fluid motion.
Agboola, O.O. +3 more
core +2 more sources
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
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
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
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 +2 more
wiley +1 more source
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
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study presents a novel triple integral transformation, called the double ARA–generalized Laplace transform (DAGLT), and applies it to solve (2 + 1)–dimensional singular pseudoparabolic equations in both linear and nonlinear forms. The work begins by outlining the fundamental definitions, theorems, and characteristics of the single ARA and ...
Rania Saadeh +4 more
wiley +1 more source
Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani +4 more
wiley +1 more source