[HTML][HTML] Analytic study on linear systems of fractional differential equations
ZM Odibat - Computers & Mathematics with Applications, 2010 - Elsevier
An analytic study on linear systems of fractional differential equations with constant
coefficients is presented. We briefly describe the issues of existence, uniqueness and …
coefficients is presented. We briefly describe the issues of existence, uniqueness and …
Numerical analysis of a fractional-order chaotic system based on conformable fractional-order derivative
S He, K Sun, X Mei, B Yan, S Xu - The European Physical Journal Plus, 2017 - Springer
In this paper, the numerical solutions of conformable fractional-order linear and nonlinear
equations are obtained by employing the constructed conformable Adomian decomposition …
equations are obtained by employing the constructed conformable Adomian decomposition …
[HTML][HTML] A numerical study of unsteady non-Newtonian Powell-Eyring nanofluid flow over a shrinking sheet with heat generation and thermal radiation
In this paper we investigate the unsteady boundary-layer flow of an incompressible Powell-
Eyring nanofluid over a shrinking surface. The effects of heat generation and thermal …
Eyring nanofluid over a shrinking surface. The effects of heat generation and thermal …
A new multistage spectral relaxation method for solving chaotic initial value systems
In this paper, we present a new pseudospectral method application for solving nonlinear
initial value problems (IVPs) with chaotic properties. The proposed method, called the …
initial value problems (IVPs) with chaotic properties. The proposed method, called the …
A bibliography of the theory and applications of the Adomian decomposition method, 1961-2011
R Rach - Kybernetes, 2012 - emerald.com
I am pleased to submit my comprehensive worldwide bibliography on the Adomian
decomposition method:“A bibliography of the theory and applications of the Adomian …
decomposition method:“A bibliography of the theory and applications of the Adomian …
The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system
In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-
perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence …
perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence …
Application of multistage homotopy-perturbation method for the solutions of the Chen system
MSH Chowdhury, I Hashim - Nonlinear Analysis: Real World Applications, 2009 - Elsevier
In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-
perturbation method (HPM) is applied to the Chen system which is a three-dimensional …
perturbation method (HPM) is applied to the Chen system which is a three-dimensional …
Hidden dynamics, synchronization, and circuit implementation of a fractional-order memristor-based chaotic system
M Wang, B Deng, Y Peng, M Deng, Y Zhang - The European Physical …, 2022 - Springer
Fractional calculus has always been regarded as an ideal mathematical tool to describe the
memory of complex systems and special materials. A fractional-order memristor-based …
memory of complex systems and special materials. A fractional-order memristor-based …
On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model
The total time evolution of the reactant concentrations in the basic enzyme-substrate
reaction is simulated by an adaptation of the standard analytic homotopy-perturbation …
reaction is simulated by an adaptation of the standard analytic homotopy-perturbation …
Adaptation of homotopy analysis method for the numeric–analytic solution of Chen system
In this paper, a new reliable algorithm based on an adaptation of the standard homotopy
analysis method (HAM) is presented, which is the multistage homotopy analysis method …
analysis method (HAM) is presented, which is the multistage homotopy analysis method …