Results 21 to 30 of about 6,540 (265)
Controllability of higher-order fractional damped stochastic systems with distributed delay
Advances in Difference Equations, 2021 In this paper, the controllability analysis is proposed for both linear and nonlinear higher-order fractional damped stochastic dynamical systems with distributed delay in Hilbert spaces which involve fractional Caputo derivative of different orders ...
G. Arthi, K. Suganya, Yong-Ki Ma
doaj +1 more source
Open Physics, 2017 We conduct a detailed study and comparison for the one-degree-of-freedom steady-state vibrations under harmonic driving with a single fractional-order derivative and a distributed-order derivative.
Duan Jun-Sheng +2 more
doaj +1 more source
Axioms, 2015 This article is in continuation of the authors research attempts to derive computational solutions of an unified reaction-diffusion equation of distributed order associated with Caputo derivatives as the time-derivative and Riesz-Feller derivative as ...
Ram K. Saxena +2 more
doaj +1 more source
Fractal and Fractional, 2022 In this paper, we consider Herglotz-type variational problems dealing with fractional derivatives of distributed-order with respect to another function. We prove necessary optimality conditions for the Herglotz fractional variational problem with and without time delay, with higher-order derivatives, and with several independent variables.
Fátima Cruz +2 more
openaire +3 more sources
Consensus of Multiagent Systems Described by Various Noninteger Derivatives
Complexity, 2019 In this paper, we unify and extend recent developments in Lyapunov stability theory to present techniques to determine the asymptotic stability of six types of fractional dynamical systems.
G. Nava-Antonio +4 more
doaj +1 more source
Frontiers in Physics, 2020 Distributed-order fractional differential operators provide a powerful tool for mathematical modeling of multiscale multiphysics processes, where the differential orders are distributed over a range of values rather than being just a fixed fraction.
Ramy M. Hafez +3 more
doaj +1 more source
Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay
Discrete Dynamics in Nature and Society, 2014 This paper is concerned with the finite-time stability of Caputo fractional neural networks with distributed delay. The factors of such systems including Caputo’s fractional derivative and distributed delay are taken into account synchronously.
Abdulaziz Alofi +3 more
doaj +1 more source
Mathematics, 2021 The goal of the present paper is to obtain sufficient conditions that guaranty the existence and uniqueness of an absolutely continuous fundamental matrix for a retarded linear fractional differential system with Caputo type derivatives and distributed ...
Hristo Kiskinov +3 more
doaj +1 more source
A Plea for the Integration of Fractional Differential Systems: The Initial Value Problem
Fractal and Fractional, 2022 The usual approach to the integration of fractional order initial value problems is based on the Caputo derivative, whose initial conditions are used to formulate the classical integral equation.
Nezha Maamri, Jean-Claude Trigeassou
doaj +1 more source
Remarks on Convolutions and Fractional Derivative of Distributions
Journal of Mathematics Research, 2017 This paper begins to present relations among the convolutional definitions given by Fisher and Li, and further shows that the following fractional Taylor's expansion holds based on convolution \[ \frac{d^\lambda}{d x^\lambda} \theta (x) \phi(x) = \sum_{k = 0}^{\infty} \frac{\phi^{( k)}(0)\, x_+^{k - \lambda }}{\Gamma(k - \lambda + 1)} \quad \mbox{if}
Chenkuan Li, Kyle Clarkson
openaire +2 more sources