[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 …
Optimal control of time-delay fractional equations via a joint application of radial basis functions and collocation method
A novel approach to solve optimal control problems dealing simultaneously with fractional
differential equations and time delay is proposed in this work. More precisely, a set of global …
differential equations and time delay is proposed in this work. More precisely, a set of global …
Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
In this study, a Legendre collocation matrix method is presented to solve high-order Linear
Fredholm integro-differential equations under the mixed conditions in terms of Legendre …
Fredholm integro-differential equations under the mixed conditions in terms of Legendre …
A reliable numerical algorithm mixed with hypergeometric function for analyzing fractional variational problems
The present study aims to introduce a numerical approach based on the hybrid of block-
pulse functions (BPFs), Bernoulli polynomials (BPs), and hypergeometric function for …
pulse functions (BPFs), Bernoulli polynomials (BPs), and hypergeometric function for …
A direct numerical solution of time-delay fractional optimal control problems by using Chelyshkov wavelets
The aim of the present study is to present a numerical algorithm for solving time-delay
fractional optimal control problems (TDFOCPs). First, a new orthonormal wavelet basis …
fractional optimal control problems (TDFOCPs). First, a new orthonormal wavelet basis …
An efficient approximate method for solving delay fractional optimal control problems
In this paper, a new numerical method for solving the delay fractional optimal control
problems (DFOCPs) with quadratic performance index is presented. In the discussed …
problems (DFOCPs) with quadratic performance index is presented. In the discussed …
[HTML][HTML] A comparative study of numerical integration based on Haar wavelets and hybrid functions
I Aziz, F Haq - Computers & Mathematics with Applications, 2010 - Elsevier
A quadrature rule based on uniform Haar wavelets and hybrid functions is proposed to find
approximate values of definite integrals. The wavelet-based algorithm can be easily …
approximate values of definite integrals. The wavelet-based algorithm can be easily …
Hybrid functions approach for nonlinear constrained optimal control problems
In this paper, a new numerical method for solving the nonlinear constrained optimal control
with quadratic performance index is presented. The method is based upon hybrid functions …
with quadratic performance index is presented. The method is based upon hybrid functions …
Optimal control of delay systems by using a hybrid functions approximation
In this paper, a new numerical method for solving the optimal control of linear time-varying
delay systems with quadratic performance index is presented. The method is based upon …
delay systems with quadratic performance index is presented. The method is based upon …
[HTML][HTML] Numerical solution based on hybrid of block-pulse and parabolic functions for solving a system of nonlinear stochastic Itô–Volterra integral equations of …
In this study, an effective numerical approach based on the hybrid of block-pulse and
parabolic functions (PBPFs) is suggested to obtain an approximate solution of a system of …
parabolic functions (PBPFs) is suggested to obtain an approximate solution of a system of …