Approximation methods for solving fractional equations

SS Zeid - Chaos, Solitons & Fractals, 2019 - Elsevier
In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

Fuzzy fractional functional differential equations under Caputo gH-differentiability

N Van Hoa - Communications in Nonlinear Science and Numerical …, 2015 - Elsevier
In this paper the fuzzy fractional functional differential equations (FFFDEs) under the Caputo
generalized Hukuhara differentiability are introduced. We study the existence and …

Application of semi‐analytic methods for the Fitzhugh–Nagumo equation, which models the transmission of nerve impulses

M Dehghan, JM Heris… - Mathematical Methods in …, 2010 - Wiley Online Library
In this work, the homotopy perturbation method (HPM), the variational iteration method (VIM)
and the Adomian decomposition method (ADM) are applied to solve the Fitzhugh–Nagumo …

Influence of induced magnetic field and heat transfer on the peristaltic motion of a Jeffrey fluid in an asymmetric channel: closed form solutions

S Akram, S Nadeem - Journal of Magnetism and Magnetic Materials, 2013 - Elsevier
We discuss the peristaltic motion of a two dimensional Jeffrey fluid in an asymmetric channel
under the effects of induced magnetic field and heat transfer. The problem is simplified by …

[PDF][PDF] The solution of the linear fractional partial differential equations using the homotopy analysis method

M Dehghan, J Manafian… - … für Naturforschung-A, 2010 - degruyter.com
In this paper, the homotopy analysis method is applied to solve linear fractional problems.
Based on this method, a scheme is developed to obtain approximation solution of fractional …

Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk

MM Rashidi, T Hayat, E Erfani, SAM Pour… - … in Nonlinear Science …, 2011 - Elsevier
The purpose of present research is to derive analytical expressions for the solution of steady
MHD convective and slip flow due to a rotating disk. Viscous dissipation and Ohmic heating …

Application of the Exp‐function method for solving a partial differential equation arising in biology and population genetics

M Dehghan, J Manafian Heris… - International Journal of …, 2011 - emerald.com
Purpose–The purpose of this paper is to use He's Exp‐function method (EFM) to construct
solitary and soliton solutions of the nonlinear evolution equation. Design/methodology …

Fibonacci wavelets and their applications for solving two classes of time‐varying delay problems

S Sabermahani, Y Ordokhani… - … Control Applications and …, 2020 - Wiley Online Library
In this paper, a numerical method for solving time‐varying delay equations and optimal
control problems with time‐varying delay systems is discussed. This method is based upon …

[HTML][HTML] Simplified reproducing kernel method for fractional differential equations with delay

MQ Xu, YZ Lin - Applied Mathematics Letters, 2016 - Elsevier
This paper is devoted to the numerical scheme for the delay initial value problems of a
fractional order. The main idea of this method is to establish a novel reproducing kernel …

[HTML][HTML] On a class of non-linear delay distributed order fractional diffusion equations

VG Pimenov, AS Hendy, RH De Staelen - Journal of Computational and …, 2017 - Elsevier
In this paper, we consider a numerical scheme for a class of non-linear time delay fractional
diffusion equations with distributed order in time. This study covers the unique solvability …