An iterative method for solving nonlinear functional equations

V Daftardar-Gejji, H Jafari - Journal of mathematical analysis and …, 2006 - Elsevier
An iterative method for solving nonlinear functional equations Page 1 J. Math. Anal. Appl. 316
(2006) 753–763 www.elsevier.com/locate/jmaa An iterative method for solving nonlinear …

Adomian decomposition: a tool for solving a system of fractional differential equations

V Daftardar-Gejji, H Jafari - Journal of Mathematical Analysis and …, 2005 - Elsevier
Adomian decomposition method has been employed to obtain solutions of a system of
fractional differential equations. Convergence of the method has been discussed with some …

[HTML][HTML] Solving a system of nonlinear fractional differential equations using Adomian decomposition

H Jafari, V Daftardar-Gejji - Journal of Computational and Applied …, 2006 - Elsevier
Solving a system of nonlinear fractional differential equations using Adomian
decomposition - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition

H Jafari, V Daftardar-Gejji - Applied Mathematics and Computation, 2006 - Elsevier
Solving linear and nonlinear fractional diffusion and wave equations by Adomian
decomposition - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Solving a multi-order fractional differential equation using Adomian decomposition

V Daftardar-Gejji, H Jafari - Applied Mathematics and Computation, 2007 - Elsevier
An algorithm has been developed to convert the multi-order fractional differential equation:
where m< α⩽ m+ 1, 0< β1< β2<⋯< βn< α and D∗ α denotes Caputo fractional derivative of …

[HTML][HTML] Application to differential transformation method for solving systems of differential equations

IHAH Hassan - Applied Mathematical Modelling, 2008 - Elsevier
In this paper, we present an analytical solution for different systems of differential equations
by using the differential transformation method. The convergence of this method has been …

Comparison differential transformation technique with Adomian decomposition method for linear and nonlinear initial value problems

IHAH Hassan - Chaos, Solitons & Fractals, 2008 - Elsevier
In this paper, we will compare the differential transformation method DTM and Adomian
decomposition method ADM to solve partial differential equations (PDEs). The definition and …

Solving multi-term linear and non-linear diffusion–wave equations of fractional order by Adomian decomposition method

V Daftardar-Gejji, S Bhalekar - Applied Mathematics and Computation, 2008 - Elsevier
Solving multi-term linear and non-linear diffusion–wave equations of fractional order by
Adomian decomposition method - ScienceDirect Skip to main contentSkip to article Elsevier …

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

EM Elsayed, R Shah… - Journal of Function Spaces, 2022 - Wiley Online Library
This article introduces modified semianalytical methods, namely, the Shehu decomposition
method and q‐homotopy analysis transform method, a combination of decomposition …

The Dynamical study and analysis of diverse optical soliton solutions to Chen-Lee-Liu equation by implementing complete discrimination system for polynomial …

N Aziz, AR Seadawy, STR Rizvi, K Ali - Optik, 2023 - Elsevier
Optical solitons are discovered with Chen-Lee-Liu equation (CLLE). CLLE explains the
transportation of optical pulses in fibre optics. The goal of the current study is to examine …