Results 21 to 30 of about 372,508 (154)

Unexpected behavior of Caputo fractional derivative [PDF]

Computational and Applied Mathematics, 2016
This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian growth, an unexpected behavior of the Caputo fractional derivative is discussed.
Kuroda, Lucas Kenjy Bazaglia, Gomes, Arianne Vellasco, Tavoni, Robinson, de Arruda Mancera, Paulo Fernando, Varalta, Najla, de Figueiredo Camargo, Rubens   +5 more
openaire   +4 more sources

A Nonlinear Implicit Fractional Equation with Caputo Derivative [PDF]

Journal of Mathematics, 2021
In this paper, we study a nonlinear implicit differential equation with initial conditions. The considered problem involves the fractional Caputo derivatives under some conditions on the order. We prove an existence and uniqueness analytic result by application of Banach principle.
openaire   +2 more sources

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
doaj   +1 more source

Generalized Proportional Caputo Fractional Differential Equations with Noninstantaneous Impulses: Concepts, Integral Representations, and Ulam-Type Stability

Mathematics, 2022
The generalized proportional Caputo fractional derivative is a comparatively new type of derivative that is a generalization of the classical Caputo fractional derivative, and it gives more opportunities to adequately model complex phenomena in physics ...
Ravi Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
doaj   +1 more source

Fractional hamilton formalism within caputo’s derivative [PDF]

Czechoslovak Journal of Physics, 2006
In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta and fractional canonical Hamiltonian are given, and a set of fractional Hamiltonian equations are obtained.
Om P. Agrawal, Dumitru Baleanu
openaire   +4 more sources

Fully distributed consensus of nonlinear fractional multi‐agent systems based on combined event‐triggered mechanism

Mathematical Methods in the Applied Sciences, EarlyView., 2022
This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ...
Qiaoping Li, Chao Yue
wiley   +1 more source

On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties

Numerical Linear Algebra with Applications, Volume 30, Issue 1, January 2023., 2023
Abstract In this work, we focus on a fractional differential equation in Riesz form discretized by a polynomial B‐spline collocation method. For an arbitrary polynomial degree p$$ p $$, we show that the resulting coefficient matrices possess a Toeplitz‐like structure. We investigate their spectral properties via their symbol and we prove that, like for
Mariarosa Mazza, Marco Donatelli, Carla Manni, Hendrik Speleers   +3 more
wiley   +1 more source

A Deeper Look Into the 2021 Tyrnavos Earthquake Sequence (TES) Reveals Coseismic Breaching of an Unrecognized Large‐Scale Fault Relay Zone in Continental Greece

Tectonics, Volume 41, Issue 12, December 2022., 2022
Abstract Large magnitude (Mw ∼ ≥6) earthquakes in extensional settings are often associated with simultaneous rupture of multiple normal faults as a result of static and/or dynamic stress transfer. Here, we report details of the coseismic breaching of a previously unrecognized large‐scale fault relay zone in central Greece, through three successive ...
Vasiliki Mouslopoulou, Henriette Sudhaus, Kostas I. Konstantinou, John Begg, Vasso Saltogianni, Benjamin Männel, Ratri Andinisari, Onno Oncken   +7 more
wiley   +1 more source

Generalized Fractional Nonlinear Birth Processes [PDF]

, 2015
We consider here generalized fractional versions of the difference-differential equation governing the classical nonlinear birth process. Orsingher and Polito (Bernoulli 16(3):858-881, 2010) defined a fractional birth process by replacing, in its ...
BEGHIN, Luisa, Davood Rostamy, Mohsen Alipour   +2 more
core   +1 more source

An analytical solution for the Caputo type generalized fractional evolution equation

Alexandria Engineering Journal, 2022
The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for being the generalization of Caputo fractional derivatives, this article’s studies contribute to ...
Wannika Sawangtong, Panumart Sawangtong
doaj