A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order

H Saeedi, MM Moghadam, N Mollahasani… - … in nonlinear science and …, 2011 - Elsevier
In this paper we present a computational method for solving a class of nonlinear Fredholm
integro-differential equations of fractional order which is based on CAS (Cosine And Sine) …

[图书][B] General fractional derivatives: theory, methods and applications

XJ Yang - 2019 - taylorfrancis.com
General Fractional Derivatives: Theory, Methods and Applications provides knowledge of
the special functions with respect to another function, and the integro-differential operators …

The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients

F Zhou, X Xu - Applied Mathematics and Computation, 2016 - Elsevier
In this paper, a numerical method based on the third kind Chebyshev wavelets is proposed
for solving a class of time-fractional convection diffusion equations with variable coefficients …

[HTML][HTML] An efficient numerical scheme for fractional model of HIV-1 infection of CD4+ T-cells with the effect of antiviral drug therapy

S Kumar, R Kumar, J Singh, KS Nisar… - Alexandria Engineering …, 2020 - Elsevier
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 …

Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations

Y Li, W Zhao - Applied mathematics and computation, 2010 - Elsevier
Haar wavelet operational matrix has been widely applied in system analysis, system
identification, optimal control and numerical solution of integral and differential equations. In …

Solving a nonlinear fractional differential equation using Chebyshev wavelets

LI Yuanlu - Communications in Nonlinear Science and Numerical …, 2010 - Elsevier
Solving a nonlinear fractional differential equation using Chebyshev wavelets - ScienceDirect
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The Legendre wavelet method for solving fractional differential equations

M ur Rehman, RA Khan - … in Nonlinear Science and Numerical Simulation, 2011 - Elsevier
Fractional differential equations are solved using the Legendre wavelets. An operational
matrix of fractional order integration is derived and is utilized to reduce the fractional …

Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet

L Zhu, Q Fan - Communications in nonlinear science and numerical …, 2012 - Elsevier
In this paper, we first construct the second kind Chebyshev wavelet. Then we present a
computational method based on the second kind Chebyshev wavelet for solving a class of …

[HTML][HTML] Solving fractional Bagley-Torvik equation by fractional order Fibonacci wavelet arising in fluid mechanics

P Yadav, S Jahan, KS Nisar - Ain Shams Engineering Journal, 2024 - Elsevier
This study introduces a new fractional order Fibonacci wavelet technique proposed for
solving the fractional Bagley-Torvik equation (BTE), along with the block pulse functions. To …

On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation

SS Ray - Applied Mathematics and Computation, 2012 - Elsevier
In the present analysis, the motion of an immersed plate in a Newtonian fluid described by
Torvik and Bagley's fractional differential equation [1] has been considered. This Bagley …