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 …
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
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 …
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 …
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 …
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
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 …
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 …
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 …
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 …
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 …
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
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 …
solving system of the time fractional chemical engineering equations. In this method the …