Results 1 to 10 of about 272,532 (52)
Pseudospectral Method Based on Müntz–Legendre Wavelets for Solving the Abel Integral Equation
Journal of Mathematics, 2022 This paper deals with the numerical solution of the Abel integral equation based on Müntz–Legendre wavelets. To this end, the Abel integral operator is represented by Müntz–Legendre wavelets as an operational matrix.
Ioannis Dassios +2 more
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Complexity, 2021 In this study, we apply the pseudospectral method based on Müntz–Legendre wavelets to solve the multiorder fractional differential equations with Caputo fractional derivative.
Haifa Bin Jebreen, Fairouz Tchier
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Approximate solution for a system of fractional integro-differential equations by Müntz Legendre wavelets [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 We use the Müntz Legendre wavelets and operational matrix to solve a system of fractional integro-differential equations. In this method, the system of integro-differential equations shifts into the systems of the algebraic equation, which can be solved ...
Y. Barazandeh
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On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
Mathematics, 2022 An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
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Fractal and Fractional, 2023 We offer a wavelet collocation method for solving the weakly singular integro-differential equations with fractional derivatives (WSIDE). Our approach is based on the reduction of the desired equation to the corresponding Volterra integral equation.
Haifa Bin Jebreen
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AxiomsOur goal in this work is to solve the fractional Bratu equation, where the fractional derivative is of the Caputo type. As we know, the nonlinearity and derivative of the fractional type are two challenging subjects in solving various equations.
Haifa Bin Jebreen +1 more
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Müntz–Legendre Wavelet Collocation Method for Solving Fractional Riccati Equation
AxiomsWe propose a wavelet collocation method for solving the fractional Riccati equation, using the Müntz–Legendre wavelet basis and its associated operational matrix of fractional integration.
Fatemeh Soleyman, Iván Area
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Proceedings of the Royal Society A, 2022 In this paper, a numerical method using Münzt–Legendre wavelets for distributed-order fractional optimal control problems (DO-FOCPs) is presented. We first give an exact formula of the Riemann–Liouville fractional integral operator of the Münzt–Legendre ...
M. Razzaghi, Thieu N. Vo
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Numerical Solution of Fractional Order Integro‐Differential Equations via Müntz Orthogonal Functions
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this paper, we derive a spectral collocation method for solving fractional‐order integro‐differential equations by using a kind of Müntz orthogonal functions that are defined on [0,1] and have simple and real roots in this interval. To this end, we first construct the operator of Riemann–Liouville fractional integral corresponding to this kind of ...
S. Akhlaghi +3 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The main goal of this paper is to develop a new formula of the fractional derivatives of the shifted Chebyshev polynomials of the third kind. This new formula expresses approximately the fractional derivatives of these polynomials in the Caputo sense in terms of their original ones.
Y. H. Youssri +3 more
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