Results 281 to 290 of about 29,026 (312)
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Analysis of fractional Fokker-Planck equation with Caputo and Caputo-Fabrizio derivatives
Annals of the University of Craiova - Mathematics and Computer Science Series, 2021This research focus on the determination of the numerical solution for the mathematical model of Fokker-Planck equations utilizing a new method, in which Sumudu transformation and homotopy analysis method (SHAM) are used together. By SHAM analytical series solution of any mathematical model including fractional derivative can be obtained.
Suleyman Cetinkaya +2 more
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On a Caputo-type fractional derivative
Advances in Pure and Applied Mathematics, 2019Abstract In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola. The generalized fractional derivative, when convenient limits are considered, recovers the Riemann–Liouville and the Hadamard derivatives ...
Oliveira, Daniela S. +1 more
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Caputo fractional derivative inequalities via \((h-m)\)-convexity
2022Summary: The aim of this study is to establish some new Caputo fractional integral inequalities. By applying definition of \((h-m)\)-convexity and some straightforward inequalities an upper bound of the sum of left and right sided Caputo fractional derivatives has been established.
Mishra, Vishnu Narayan, Farid, Ghulam
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Caputo fractional derivative of $$\alpha $$-fractal spline
Numerical AlgorithmszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Priyanka, T. M. C. +4 more
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A Fast Algorithm for the Caputo Fractional Derivative
East Asian Journal on Applied Mathematics, 2018Summary: 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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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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On Constrained Systems Within Caputo Derivatives
Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007The constraints systems play a very important role in physics and engineering. The fractional variational principles were successfully applied to control problems as well as to construct the phase space of a fractional dynamical system. In this paper the fractional dynamics of discrete constrained systems is presented and the notion of the reduced ...
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Fundamental results on weighted Caputo–Fabrizio fractional derivative
Chaos, Solitons & Fractals, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Refai, Mohammed, Jarrah, Abdulla M.
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Caputo and Atangana-Baleanu-Caputo Fractional Derivative Applied to Garden Equation
2020In this study, the garden equation which is a nonlinear partial differential equation is discussed. First, we will expand the garden equation to the Caputo derivative and Atangana-Baleanu fractional derivative in the sense of Caputo. Then, we will then demonstrate the existence of the new equation with the help of the fixed point theorem.
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