Second-order asymptotics of fractional Gagliardo seminorms as [Formula: see text] and convergence of the associated gradient flows [0.03%]
分数Gagliardo半范的二阶渐近性质以及相关梯度流的收敛性作为[Formula: see text]
Andrea Kubin,Valerio Pagliari,Antonio Tribuzio
Andrea Kubin
We study the second-order asymptotic expansion of the s-fractional Gagliardo seminorm as s → 1 - in terms of a higher-order nonlocal functional. We prove a Mosco-convergence result for the energy functionals and characterize the dom...
Lorenzo Facciaroni,Costantino Ricciuti,Enrico Scalas et al.
Lorenzo Facciaroni et al.
There is a well-established theory that links semi-Markov chains having Mittag-Leffler waiting times to time-fractional equations. We here go beyond the semi-Markov setting, by defining some non-Markovian chains whose waiting times, althoug...
A new Bihari inequality and initial value problems of first order fractional differential equations [0.03%]
一个新的Bihari不等式及一类分数阶微分方程的初值问题
Kunquan Lan,J R L Webb
Kunquan Lan
We prove existence of solutions, and particularly positive solutions, of initial value problems (IVPs) for nonlinear fractional differential equations involving the Caputo differential operator of order α∈(0,1). One novelty in th...
Noemi Zeraick Monteiro,Sandro Rodrigues Mazorche
Noemi Zeraick Monteiro
Barbalat's Lemma is a mathematical result that can lead to the solution of many asymptotic stability problems. On the other hand, Fractional Calculus has been widely used in mathematical modeling, mainly due to its potential to make explici...
Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay [0.03%]
无延迟和有延迟的Hadamard和Caputo-Hadamard分数阶非线性系统的稳定性分析
Bin-Bin He,Hua-Cheng Zhou,Chun-Hai Kou
Bin-Bin He
This paper handles with the Hadamard and the Caputo-Hadamard fractional derivative and stability of related systems without and with delay. Firstly, the derivative inequalities are obtained, which is indispensable in applying the theorems d...
Fractional Euler numbers and generalized proportional fractional logistic differential equation [0.03%]
分数阶Euler数及广义比例分数Logistic微分方程
Juan J Nieto
Juan J Nieto
We solve a logistic differential equation for generalized proportional Caputo fractional derivative. The solution is found as a fractional power series. The coefficients of that power series are related to the Euler polynomials and Euler nu...
Ivo Petráš
Ivo Petráš
This paper deals with a survey of Lorenz-type systems. For the first time, a new classification of the fractional-order Lorenz-type systems was introduced. Several chaotic systems, as particular cases of the new general form, which belong t...
On a Method of Solution of Systems of Fractional Pseudo-Differential Equations [0.03%]
分数阶伪微分方程组的一种解法
Sabir Umarov,Ravshan Ashurov,YangQuan Chen
Sabir Umarov
This paper is devoted to the general theory of linear systems of fractional order pseudo-differential equations. Single fractional order differential and pseudo-differential equations are studied by many authors and several monographs and h...
Determination of the Order of Fractional Derivative for Subdiffusion Equations [0.03%]
子扩散方程中分数阶导数阶数的确定方法
Ravshan Ashurov,Sabir Umarov
Ravshan Ashurov
The identification of the right order of the equation in applied fractional modeling plays an important role. In this paper we consider an inverse problem for determining the order of time fractional derivative in a subdiffusion equation wi...
FCAA Special 2020 Conferences' Issue (FCAA-Volume 23-6-2020) [0.03%]
特殊2020会议的FCAA问题(FCAA-第23卷-2020年第6期)
Virginia Kiryakova
Virginia Kiryakova