Results 31 to 40 of about 272,577 (84)

An effective scheme for solving system of fractional Volterra-Fredholm integro-differential equations based on the Müntz-Legendre wavelets

open access: yesJournal of Computational and Applied Mathematics, 2020
In this study, a class of wavelet techniques is used for finding approximate solutions of systems of fractional integro-differential Volterra–Fredholm (FIDVF) equations based on the Muntz–Legendre wavelets (MLW).
Fereshteh Saemi, H. Ebrahimi, M. Shafiee
semanticscholar   +3 more sources

Numerical solution a class of 2D fractional optimal control problems by using 2D Müntz‐Legendre wavelets

open access: yesOptimal control applications & methods, 2018
In this paper, a method for finding an approximate solution of a class of 2D fractional optimal control problems with fractional‐order dynamical system is discussed. In the proposed method, the fractional derivative is expressed in the Caputo sense.
P. Rahimkhani, Y. Ordokhani
semanticscholar   +2 more sources
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An approximate solution for variable‐order fractional optimal control problem via Müntz‐Legendre wavelets with an application in epidemiology

Mathematical methods in the applied sciences, 2023
A class of variable‐order fractional optimal control problems (VO‐FOCPs) is solved by applying Müntz‐Legendre wavelets. Different from classical wavelets (such as Legendre and Chebyshev), the Müntz‐Legendre wavelets have an extra parameter representing ...
Thieu N. Vo, M. Razzaghi, I. Mihai
semanticscholar   +1 more source

Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz–Legendre wavelets approach

Numerical Methods for Partial Differential Equations, 2020
In this paper, a numerical method is presented to obtain and analyze the behavior of numerical solutions of distributed order fractional differential equations of the general form in the time domain with the Caputo fractional derivative.
K. Maleknejad   +2 more
semanticscholar   +1 more source

The numerical treatment of fractal‐fractional 2D optimal control problems by Müntz–Legendre polynomials

Optimal control applications & methods, 2023
In this work, we introduce a method based on the Müntz–Legendre polynomials (M‐LPs) for solving fractal‐fractional 2D optimal control problems that the fractal‐fractional derivative is described in Atangana‐Riemann‐Liouville's sense.
P. Rahimkhani, Y. Ordokhani, S. Sedaghat
semanticscholar   +1 more source

Müntz–Legendre wavelet method for solving Sturm–Liouville fractional optimal control problem with error estimates

Mathematical methods in the applied sciences, 2023
This paper develops a Müntz–Legendre wavelet method for solving a fractional optimal control problem with dynamic constraint as a fractional Sturm–Liouville problem.
Nitin Kumar, M. Mehra
semanticscholar   +1 more source

Numerical computation of fractional partial differential equations with variable coefficients utilizing the modified fractional Legendre wavelets and error analysis

Mathematical methods in the applied sciences, 2021
This paper presents a numerical scheme to address a type of fractional spatial–temporal telegraph equations with variable coefficients by applying the modified fractional Legendre wavelets.
Jiaquan Xie
semanticscholar   +1 more source

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