Analytical solutions of (2+ time fractional order) dimensional physical models, using modified decomposition method

H Khan, U Farooq, R Shah, D Baleanu, P Kumam… - Applied Sciences, 2019 - mdpi.com
In this article, a new analytical technique based on an innovative transformation is used to
solve (2+ time fractional-order) dimensional physical models. The proposed method is the …

(N+ 1)-dimensional fractional reduced differential transform method for fractional order partial differential equations

M Arshad, D Lu, J Wang - … in nonlinear science and numerical simulation, 2017 - Elsevier
In this paper, we pursue the general form of the fractional reduced differential transform
method (DTM) to (N+ 1)-dimensional case, so that fractional order partial differential …

Transient thermal behavior of radial fins of rectangular, triangular and hyperbolic profiles with temperature-dependent properties using DTM-FDM

S Mosayebidorcheh, M Rahimi-Gorji, DD Ganji… - Journal of Central South …, 2017 - Springer
This work focuses on transient thermal behavior of radial fins of rectangular, triangular and
hyperbolic profiles with temperature-dependent properties. A hybrid numerical algorithm …

Generalized differential transform method for nonlinear boundary value problem of fractional order

A Di Matteo, A Pirrotta - … in Nonlinear Science and Numerical Simulation, 2015 - Elsevier
In this paper the generalized differential transform method is applied to obtain an
approximate solution of linear and nonlinear differential equation of fractional order with …

Numerical study of magnetohydrodynamics Jeffery–Hamel flow with cu-water nanofluid between two rectangular smooth walls with transverse magnetic field

R Meher, ND Patel - International Journal of Computational …, 2020 - World Scientific
In this paper, the MHD Jeffery–Hamel flow with cu-water nanofluid between two smooth
rectangular walls with the transverse magnetic field is studied. Differential transform method …

ANALYTICAL APPROXIMATE SOLUTIONS OF -DIMENSIONAL FRACTAL HARRY DYM EQUATIONS

J Sun - Fractals, 2018 - World Scientific
The new fractal models of the (1+ 1)-dimensional and (n+ 1)-dimensional nonlinear local
fractional Harry Dym equation (HDE) on Cantor sets are derived and the analytical …

A numerical algorithm to capture spin patterns of fractional Bloch nuclear magnetic resonance flow models

RC Mittal, S Pandit - Journal of Computational and …, 2019 - asmedigitalcollection.asme.org
Fractional Bloch equation is a generalized form of the integer order Bloch equation. It
governs the dynamics of an ensemble of spins, controlling the basic process of nuclear …

A new analytic numeric method solution for fractional modified epidemiological model for computer viruses

AH Handam, AA Freihat - Applications and Applied …, 2015 - digitalcommons.pvamu.edu
Computer viruses are an extremely important aspect of computer security, and
understanding their spread and extent is an important component of any defensive strategy …

Dynamical study of fractional order tumor model

S Arshad, A Sohail, S Javed - International Journal of …, 2015 - World Scientific
In this paper, we have studied the fractional order model of tumor cells growth and their
interactions with general immune effector cells, by using multi-step generalized differential …

Fractional reduced differential transform method for space-time fractional order heat-like and wave-like partial differential equations

D Lu, J Wang, M Arshad, A Ali - Journal of Advanced Physics, 2017 - ingentaconnect.com
In the present paper, we utilized fractional reduced differential transform method (FRDTM) to
get the better optimal solution of space-time fractional order heat-like and wave-like partial …