A review of operational matrices and spectral techniques for fractional calculus
AH Bhrawy, TM Taha, JAT Machado - Nonlinear Dynamics, 2015 - Springer
Recently, operational matrices were adapted for solving several kinds of fractional
differential equations (FDEs). The use of numerical techniques in conjunction with …
differential equations (FDEs). The use of numerical techniques in conjunction with …
Multiwavelet-based operator learning for differential equations
The solution of a partial differential equation can be obtained by computing the inverse
operator map between the input and the solution space. Towards this end, we introduce a …
operator map between the input and the solution space. Towards this end, we introduce a …
[HTML][HTML] An efficient numerical scheme for fractional model of HIV-1 infection of CD4+ T-cells with the effect of antiviral drug therapy
In the present paper, a HIV-1 infection of CD 4+ T-cells with the impact of drug treatment
model of arbitrary order have been examined with the aid of Legendre wavelet operational …
model of arbitrary order have been examined with the aid of Legendre wavelet operational …
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 …
fractional equations, which are divided into the fractional differential equations (FDEs), time …
Convergence theorem for the Haar wavelet based discretization method
The accuracy issues of Haar wavelet method are studied. The order of convergence as well
as error bound of the Haar wavelet method is derived for general n th order ODE. The …
as error bound of the Haar wavelet method is derived for general n th order ODE. The …
[HTML][HTML] Legendre wavelets approach for numerical solutions of distributed order fractional differential equations
B Yuttanan, M Razzaghi - Applied Mathematical Modelling, 2019 - Elsevier
In this study, a new numerical method for the solution of the linear and nonlinear distributed
fractional differential equations is introduced. The fractional derivative is described in the …
fractional differential equations is introduced. The fractional derivative is described in the …
[HTML][HTML] Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets
In this paper, a numerical method is proposed to solve a class of nonlinear variable order
fractional differential equations (FDEs). The idea is to use Legendre wavelets functions and …
fractional differential equations (FDEs). The idea is to use Legendre wavelets functions and …
Wavelets optimization method for evaluation of fractional partial differential equations: an application to financial modelling
In the present paper, we employ a wavelets optimization method is employed for the
elucidations of fractional partial differential equations of pricing European option …
elucidations of fractional partial differential equations of pricing European option …
Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion
MH Heydari, MR Mahmoudi, A Shakiba… - … in Nonlinear Science …, 2018 - Elsevier
In this paper, a new computational method is proposed to solve a class of nonlinear
stochastic differential equations (SDEs) driven by fractional Brownian motion (fBm). The …
stochastic differential equations (SDEs) driven by fractional Brownian motion (fBm). The …
Taylor wavelet method for fractional delay differential equations
We present a new numerical method for solving fractional delay differential equations. The
method is based on Taylor wavelets. We establish an exact formula to determine the …
method is based on Taylor wavelets. We establish an exact formula to determine the …