Results 221 to 230 of about 26,870 (247)

Caputo fractional derivative inequalities via \((h-m)\)-convexity

2022
Summary: 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 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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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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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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On Constrained Systems Within Caputo Derivatives

Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007
The 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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Caputo and Atangana-Baleanu-Caputo Fractional Derivative Applied to Garden Equation

2020
In 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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Lyapunov stability theorems for $$\psi $$-Caputo derivative systems

Fractional Calculus and Applied Analysis, 2022
Bichitra Kumar Lenka, Swaroop Nandan Bora   +1 more
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On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method

AEJ - Alexandria Engineering Journal, 2020
Dumitru Baleanu, Hakimeh Mohammadi, Shahram Rezapour   +2 more
exaly  

On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative

AEJ - Alexandria Engineering Journal, 2020
Kamal Shah, Fahd Jarad, Thabet Abdeljawad   +2 more
exaly  

Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative

Chaos, Solitons and Fractals, 2020
Kamal Shah, Fahd Jarad, Thabet Abdeljawad   +2 more
exaly