Results 41 to 50 of about 29,026 (312)

Fractional input stability for electrical circuits described by the Riemann-Liouville and the Caputo fractional derivatives

AIMS Mathematics, 2019
The fractional input stability of the electrical circuit equations described by the fractional derivative operators has been investigated. The Riemann-Liouville and the Caputo fractional derivative operators have been used.
Ndolane Sene
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Fractional variational principles with delay within caputo derivatives

Reports on Mathematical Physics, 2010
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Jarad, Fahd, Abdeljawad (Maraaba), Thabet, Baleanu, Dumitru   +2 more
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Laplace Variational Iteration Method for Modified Fractional Derivatives with Non-singular Kernel [PDF]

Journal of Applied and Computational Mechanics, 2020
A universal approach by Laplace transform to the variational iteration method for fractional derivatives with the nonsingular kernel is presented; in particular, the Caputo-Fabrizio fractional derivative and the Atangana-Baleanu fractional derivative ...
Huitzilín Yépez-Martínez, José Francisco Gómez-Aguilar   +1 more
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Maximum Principle and Its Application for the Time-Fractional Diffusion Equations [PDF]

, 2011
MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion ...
Luchko, Yury
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Unexpected behavior of Caputo fractional derivative [PDF]

Computational and Applied Mathematics, 2016
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Kuroda, Lucas Kenjy Bazaglia, Gomes, Arianne Vellasco, Tavoni, Robinson, de Arruda Mancera, Paulo Fernando, Varalta, Najla, de Figueiredo Camargo, Rubens   +5 more
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Prabhakar-like fractional viscoelasticity

, 2017
The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators. In particular, we propose a modification of the classical fractional Maxwell model, in which we replace the Caputo derivative with the Prabhakar one.
Colombaro, Ivano, Giusti, Andrea
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Numerical approximations for a fully fractional Allen-Cahn equation

, 2020
A finite element scheme for an entirely fractional Allen-Cahn equation with non-smooth initial data is introduced and analyzed. In the proposed nonlocal model, the Caputo fractional in-time derivative and the fractional Laplacian replace the standard ...
Acosta, Gabriel, Bersetche, Francisco
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Fractional Herglotz variational principles with generalized Caputo derivatives [PDF]

Chaos, Solitons & Fractals, 2017
We obtain Euler-Lagrange equations, transversality conditions and a Noether-like theorem for Herglotz-type variational problems with Lagrangians depending on generalized fractional derivatives. As an application, we consider a damped harmonic oscillator with time-depending mass and elasticity, and arbitrary memory effects.
Garra R., Taverna G. S., Torres D. F. M.
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The general Caputo–Katugampola fractional derivative and numerical approach for solving the fractional differential equations

Alexandria Engineering Journal
In this manuscript, we present the general fractional derivative (FD) along with its fractional integral (FI), specifically the ψ-Caputo–Katugampola fractional derivative (ψ-CKFD).
Lakhlifa Sadek, Sahar Ahmed ldris, Fahd Jarad   +2 more
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On the Leibniz rule and Laplace transform for fractional derivatives

, 2019
Taylor series is a useful mathematical tool when describing and constructing a function. With the series representation, some properties of fractional calculus can be revealed clearly.
Liu, Da-Yan, Tse, Peter W., Wang, Yong, Wei, Yiheng   +3 more
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