Results 221 to 230 of about 47,231 (266)

Fractional Optimal Control Within Caputo’s Derivative

Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 2011
A general formulation and solution of fractional optimal control problems (FOCPs) in terms of Caputo fractional derivatives (CFDs) of arbitrary order have been considered in this paper. The performance index (PI) of a FOCP is considered as a function of both the state and control.
Raj Kumar Biswas, Siddhartha Sen
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Caputo fractional derivative of $$\alpha $$-fractal spline

Numerical Algorithms
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Priyanka, T. M. C., Gowrisankar, A., Prasad, M. Guru Prem, Liang, Yongshun, Cao, Jinde   +4 more
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Fractional conformable derivatives of Liouville–Caputo type with low-fractionality

Physica A: Statistical Mechanics and its Applications, 2018
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Morales-Delgado, V. F., Gómez-Aguilar, J. F., Escobar-Jiménez, R. F., Taneco-Hernández, M. A.   +3 more
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Fuzzy fractional differential equations under Caputo–Katugampola fractional derivative approach

Fuzzy Sets and Systems, 2019
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Ngo Van Hoa, Ho Vu, Tran Minh Duc
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Approximations of fractional integrals and Caputo fractional derivatives

Applied Mathematics and Computation, 2006
In a series of recent papers [see \textit{K. Diethelm, A. D. Freed} and \textit{N. J. Ford}, Numer. Algorithms 36, No. 1, 31--52 (2004; Zbl 1055.65098)], and the references cited therein], the reviewer and his collaborators have proposed and analysed a numerical scheme for the approximation of \(J^\alpha\), the Riemann-Liouville fractional integral of ...
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A Fast Algorithm for the Caputo Fractional Derivative

East Asian Journal on Applied Mathematics, 2018
Summary: A fast algorithm with almost optimal memory for the computation of Caputo's fractional derivative is developed. It is based on a nonuniform splitting of the time interval \([0, t_n]\) and a polynomial approximation of the kernel function \((1 - \tau)^{-\alpha}\).
Wang, Kun, Huang, Jizu
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Fundamental results on weighted Caputo–Fabrizio fractional derivative

Chaos, Solitons & Fractals, 2019
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Al-Refai, Mohammed, Jarrah, Abdulla M.
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Fractional Constrained Systems and Caputo Derivatives

Journal of Computational and Nonlinear Dynamics, 2008
During the last few years, remarkable developments have been made in the theory of the fractional variational principles and their applications to control problems and fractional quantization issue. The variational principles have been used in physics to construct the phase space of a fractional dynamical system.
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A new fractional integral associated with the Caputo–Fabrizio fractional derivative

Rendiconti del Circolo Matematico di Palermo Series 2, 2020
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M. Moumen Bekkouche, H. Guebbai, M. Kurulay, S. Benmahmoud   +3 more
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Caputo-Based Fractional Derivative in Fractional Fourier Transform Domain

IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 2013
This paper proposes a novel closed-form analytical expression of the fractional derivative of a signal in the Fourier transform (FT) and the fractional Fourier transform (FrFT) domain by utilizing the fundamental principles of the fractional order calculus.
Kulbir Singh, Rajiv Saxena, Sanjay Kumar
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