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Fractional conformable derivatives of Liouville–Caputo type with low-fractionality
Physica A: Statistical Mechanics and its Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morales-Delgado, V. F. +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, 2013This 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 +2 more
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Initialization Issues of the Caputo Fractional Derivative
Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2005The importance of proper initialization in taking into account the history of a system whose time evolution is governed by a differential equation of fractional order, has been established by Lorenzo and Hartley, who also gave the method of properly incorporating the effect of the past (history) by means of an initialization function for the Riemann ...
B. N. Narahari Achar +2 more
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The Peano–Sard theorem for Caputo fractional derivatives and applications
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arran Fernandez, Suzan Cival Buranay
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Fractional Constrained Systems and Caputo Derivatives
Journal of Computational and Nonlinear Dynamics, 2008During 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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Generating Functions and Approximations of the Caputo Fractional Derivative
2023Yuri Dimitrov +4 more
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On the fractional Newton method with Caputo derivatives
Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2022Emine Celik +2 more
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Fundamental results on weighted Caputo–Fabrizio fractional derivative
Chaos, Solitons and Fractals, 2019Mohammed Al-Refai
exaly
Analysis and application of new fractional Adams–Bashforth scheme with Caputo–Fabrizio derivative
Chaos, Solitons and Fractals, 2017Kolade M Owolabi, Abdon Atangana
exaly