Fractional power series solutions of fractional differential equations by using generalized Taylor series

Z Odibat - Applied and Computational Mathematics, 2020 - elibrary.ru
In this paper, we present a brief survey of the generalized differential transform method. The
main property of the method is its flexibility and ability to provide approximate solutions of …

Quasilinearized Scale-3 Haar wavelets-based algorithm for numerical simulation of fractional dynamical systems

RC Mittal, S Pandit - Engineering Computations, 2018 - emerald.com
Purpose The main purpose of this work is to develop a novel algorithm based on Scale-3
Haar wavelets (S-3 HW) and quasilinearization for numerical simulation of dynamical …

Closed-form approximate solution for heat transfer analysis within functionally graded plate with temperature-dependent thermal conductivity

M El Ibrahimi, A Samaouali - Composite Structures, 2021 - Elsevier
This paper studies the steady-state heat transfer through a functionally graded plate in
ultrahigh temperature environment. The thermal conductivity is assumed to be temperature …

Mathematica numerical simulation of peristaltic biophysical transport of a fractional viscoelastic fluid through an inclined cylindrical tube

D Tripathi, O Anwar Bég - Computer Methods in Biomechanics and …, 2015 - Taylor & Francis
This paper studies the peristaltic transport of a viscoelastic fluid (with the fractional second-
grade model) through an inclined cylindrical tube. The wall of the tube is modelled as a …

An approximate solution method for the fractional version of a singular BVP occurring in the electrohydrodynamic flow in a circular cylindrical conduit

AK Alomari, VS Erturk, S Momani, A Alsaedi - The European Physical …, 2019 - Springer
The aim of the present study is to obtain approximate solutions of the fractional counterpart
of a boundary value problem that appears in electrohydrodynamic flows by using …

Generalized differential transform method for solving RLC electric circuit of non-integer order

N Magesh, A Saravanan - Nonlinear Engineering, 2018 - degruyter.com
Systematic construction of fractional ordinary differential equations [FODEs] has gained
much attention nowadays research because dimensional homogeneity plays a major role in …

Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations

G Chandhini, KS Prashanthi… - BIT Numerical Mathematics, 2020 - Springer
In this article, two radial basis functions based collocation schemes, differentiated and
integrated methods (DRBF and IRBF), are extended to solve a class of nonlinear fractional …

Chebyshev finite difference method for fractional boundary value problems

H Azizi - Journal of Mathematical Extension, 2015 - ijmex.com
Abstract‎ This paper present a numerical method for fractional differential‎ equations using
Chebyshev finite difference method‎.‎ The fractional‎ derivatives are described in the Caputo …

Local fractional Fourier series method for solving nonlinear equations with local fractional operators

YJ Yang, SQ Wang - Mathematical Problems in Engineering, 2015 - Wiley Online Library
We apply the local fractional Fourier series method for solving nonlinear equation with local
fractional operators. This method is the coupling of the local fractional Fourier series …

[PDF][PDF] Solving time-fractional chemical engineering equations by generalized differential transform method

A Haghbin, H Jafari, P Goswami, MV Ariyan - Thermal Science, 2020 - doiserbia.nb.rs
In this paper fractional differential transform method is implemented for modelling and
solving system of the time fractional chemical engineering equations. In this method the …