Results 101 to 110 of about 383,064 (247)
Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives
Fractal and Fractional, 2019 This paper proposes novel analytical solutions of the mass-spring-damper systems described by certain generalized fractional derivatives. The Liouville−Caputo left generalized fractional derivative and the left generalized fractional derivative ...
Ndolane Sene +1 more
doaj +1 more source
Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan +3 more
wiley +1 more source
Generalized time fractional IHCP with Caputo fractional derivatives
Journal of Physics: Conference Series, 2008 The numerical solution of the generalized time fractional inverse heat conduction problem (GTFIHCP) on a finite slab is investigated in the presence of measured (noisy) data when the time fractional derivative is interpreted in the sense of Caputo. The GTFIHCP involves the simultaneous identification of the heat flux and temperature transient functions
Diego A. Murio, Carlos E. Mejía
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This work addresses the problem of developing a nonfragile sliding mode observer for fractional‐order complex networked systems (FO‐CNS) under stochastic network attacks. The proposed approach employs a combination of event‐triggered techniques. First, a nonfragile fractional‐order state observer is developed, enabling the design of a suitable
Xin Meng +2 more
wiley +1 more source
Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]
, 2019 In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative. We give generalized definition and theorem for the symmetry method for PDE with Caputo fractional derivative, according to Bluman's definition and theorem for the symmetry analysis of PDE system.
arxiv +1 more source
A Caputo fractional derivative of a function with respect to another function [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2017 This is a preprint of a paper whose final and definite form will be published in the journal Communications in Nonlinear Science and Numerical ...
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A Caputo fractional derivative-based algorithm for optimization
, 2021 We propose a novel Caputo fractional derivative-based optimization algorithm. Upon defining the Caputo fractional gradient with respect to the Cartesian coordinate, we present a generic Caputo fractional gradient descent (CFGD) method. We prove that the CFGD yields the steepest descent direction of a locally smoothed objective function.
Shin, Yeonjong +2 more
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Methods in Ecology and Evolution, EarlyView.Abstract Due to their importance for climate change monitoring, modelling and adaptation, vegetation structural properties including leaf area index (LAI) are designated essential climate variables (ECVs) by the Global Climate Observing System (GCOS).
Luke A. Brown +2 more
wiley +1 more source
Introduction to the fractional-order chaotic system under fractional operator in Caputo sense
Alexandria Engineering Journal, 2021 In this paper, we consider a new fractional-order chaotic system described by the Caputo fractional derivative. This paper’s main objective is to analyze the bifurcation maps to detect the chaotic regions for a new fractional-order chaotic system.
Ndolane Sene
doaj
On the stable numerical evaluation of caputo fractional derivatives
Computers & Mathematics with Applications, 2006 AbstractThe computation of Caputo's fractional derivatives in the presence of measured data is considered as an ill-posed problem and treated by mollification techniques. It is shown that, with the appropriate choice of the radius of mollification, the method is a regularizing algorithm, and the order of convergence is derived.
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