Results 11 to 20 of about 272,577 (84)
Applied Mathematical Modelling, 2019 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 Caputo sense.
Boonrod Yuttanan, M. Razzaghi
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Numerical Solution for Solving Linear Fractional Differential Equations using Chebyshev Wavelets [PDF]
, 2023 In this paper, a numerical method for solving linear fractional differential equations using Chebyshev wavelets matrices has been presented. Fractional differential equations have received great attention in the recent period due to the expansion of ...
Inaam Abdulbaset Fathi, kais Ibrahim
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On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem [PDF]
, 2022 In this paper we deal with construction and analysis of a multiwavelet spectral element scheme for a generalized Cauchy type problem with Caputo fractional derivative.
Asadzadeh, Mohammad +1 more
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Fractional Calculus and Special Functions with Applications [PDF]
, 2022 The study of fractional integrals and fractional derivatives has a long history, and they have many real-world applications because of their properties of interpolation between integer-order operators.
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, a new approach for solving the system of fractional integro‐differential equation with weakly singular kernels is introduced. The method is based on a class of symmetric orthogonal polynomials called shifted sixth‐kind Chebyshev polynomials. First, the operational matrices are constructed, and after that, the method is described.
S. Yaghoubi +3 more
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A novel Chebyshev wavelet method for solving fractional-order optimal control problems [PDF]
, 2022 This thesis presents a numerical approach based on generalized fractional-order Chebyshev wavelets for solving fractional-order optimal control problems. The exact value of the Riemann– Liouville fractional integral operator of the generalized fractional-
Ghanbari, Ghodsieh
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Stability analysis of linear ODE-PDE interconnected systems [PDF]
, 2022 Les systèmes de dimension infinie permettent de modéliser un large spectre de phénomènes physiques pour lesquels les variables d'états évoluent temporellement et spatialement.
Bajodek, Mathieu
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Tau‐Path Following Method for Solving the Riccati Equation with Fractional Order
Journal of Computational Methods in Physics, Volume 2014, Issue 1, 2014., 2014 A formulation for the fractional Legendre functions is constructed to find the solution of the fractional Riccati equation. The fractional derivative is described in the Caputo sense. The method is based on the Tau Legendre and path following methods. Theoretical and numerical results are presented. Analysis for the presented method is given.
Muhammed I. Syam +3 more
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Solving Fractional Gas Dynamics Equation Using Müntz-Legendre Polynomials
Symmetry, 2023 To solve the fractional gas dynamic equation, this paper presents an effective algorithm using the collocation method and Müntz-Legendre (M-L) polynomials.
H. B. Jebreen, C. Cattani
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Logarithmic Bernstein functions for fractional Rosenau–Hyman equation with the Caputo–Hadamard derivative [PDF]
A B S T R A C T In this study, the Caputo–Hadamard derivative is fittingly used to define a fractional form of the Rosenau– Hyman equation. To solve this equation, the orthonormal logarithmic Bernstein functions (BFs) are created as a suitable basis ...
Bavi O. +3 more
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