fractional equation

Eigenvalue problems for a kind of fractional differential equations;一类分数阶微分方程的本征值问题LLz汉语字典

The mathematics model of the systems described by fractional differential equations is proposed.首先给出了由分数阶微分方程描述的系统的数学模型,根据对整数阶系统能控性和能观性的研究,给出了此类分数阶系统的能控性和能观性的定义,并利用两参数的Mittage-Leffler函数和Cayley-Hamilton定理分析此类分数阶系统的能控性和能观性,推导由分数阶微分方程描述的系统能控性和能观性判据。LLz汉语字典

And then, we introduce the origin of the linear fractional differential equations of multistep method, discuss their advantages and research the development of the definition of fractional derivative in detail.本文主要研究分数阶微分方程的数值处理及稳定性的分析,分为两个部分:第一,研究了用显隐式分数阶后退的差分格式,考虑实验方程数值解的性质及稳定性分析;第二,讨论了分数阶线性多步法相容格式的零稳定性和收敛性,分析其可能的最大稳定域的估计。LLz汉语字典

Several existence results of solution for a nonlinear fractional differential equation;非线性分数微分方程解的若干存在性结论LLz汉语字典

The main objective of the paper is to give an overview of the developments and applications of fractional differential equations.阐述分数微分方程的发展历程、现状和应用背景,提出从推广经典微分方程角度展开研究工作的若干问题与建议。LLz汉语字典

The existence of positive solution is proved for a class of sublinear fractional differential equations where the nonlinear terms subject to the power functions.证明了一类非线性项受幂函数控制的次线性分数微分方程的正解存在性。LLz汉语字典

Theoretical Analysis and Numerical Computation for Fractional Differential Equations;分数阶微分方程的理论分析与数值计算LLz汉语字典

Using the Mellin transform and Fox functions,the solutions of fractional order integral equationsz(t)=∑lk=0C kk lt k+(-λ)Г(α)∫ t 0(t-s) α-1 z(s)ds α≥1and z(t)=∑2 l-1k=0C kГ(1+kα2 l)t kα/2 l +(-λ)Г(α)∫ t 0(t-s) α-1 z(s)ds l=0,1,2,… α≥0are foundz(t)=∑lk=0∑∞n=0C k(-λ) nГ(1+k+nα)t k+nα andz(t)=∑2 l-1k=0C k∑∞n=0(-λ) nГ(1+nα+kα2 l)t nα+kα2 l 对分数阶微分方程的初值问题所对应的分数阶积分方程ｚ（ｔ）＝∑ｌｋ＝０Ｃｋｋｌｔｋ＋（－λ）Γ（α）∫ｔ０（ｔ－ｓ）α－１ｚ（ｓ）ｄｓα≥１ｚ（ｔ）＝∑２ｌ－１ｋ＝０ＣｋГ（１＋ｋα２ｌ）ｔｋα／２ｌ＋（－λ）Г（α）∫ｔ０（ｔ－ｓ）α－１ｚ（ｓ）ｄｓｌ＝０，１，２，…α≥１利用Ｍｅｌｉｎ变换和Ｆｏｘ函数求出的解为ｚ（ｔ）＝∑ｌｋ＝０∑∞ｎ＝０Ｃｋ（－λ）ｎГ（１＋ｋ＋ｎα）ｔｋ＋ｎα和ｚ（ｔ）＝∑２ｌ－１ｋ＝０Ｃｋ∑∞ｎ＝０（－λ）ｎГ（１＋ｎα＋ｋα２ｌ）ｔｎα＋ｋα２LLz汉语字典

Numerical Solution of Fractional Differential Equations by Using Legendre WaveletsLegendre小波求分数阶微分方程的数值解LLz汉语字典

Differential Transform Method for the Fractioanl Differential Equations with Riemann-Liouville DerivativeRiemann-Liouville型分数阶微分方程的微分变换方法LLz汉语字典

Adomian Decomposition Method of Fractional Differential Equations;分数阶微分方程的Adomian解法LLz汉语字典

Existence of Solutions for Boundary Value Problems of Fractional Differential Equations分数阶微分方程边值问题解的存在性LLz汉语字典

L~p-STABILITY OF A CLASS NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS一类分数阶微分方程组的L~p稳定性LLz汉语字典

Theoretical Analysis and Numerical Computation for Fractional Differential Equations;分数阶微分方程的理论分析与数值计算LLz汉语字典

Several Numerical Methods for Solving Fractional Differential Equations;求解分数阶微分方程问题的几类数值方法LLz汉语字典

Numerical Solution and Analytic Solution for two Classes Fractional Differential Equation;两类分数阶微分方程的近似解析解与数值解LLz汉语字典

SOLUTION FOR SYSTEM OF LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS常系数线性分数阶微分方程组的解(英文)LLz汉语字典

Fractional BDF Method for Multi-order Fractional Differential Equations多阶分数微分方程的分数BDF方法LLz汉语字典

Reducing a Second Order Differential Equation to a Higher Equation with Constant Coefficients;化二阶微分方程为高阶常系数微分方程LLz汉语字典

Numericalmethods for Differential Equations of Fractional Order with Time-Dependent Delay分数阶延迟微分方程数值方法的研究LLz汉语字典

High Order Multiple Method for Fractional Ordinary Differential Equation and Numerical Method for Variable Order Fractional Diffusion Equation;分数阶常微分方程的高阶多步法和变分数阶扩散方程的数值方法LLz汉语字典

Fractional Partial Differential Equation s Numerical Solution and Fundamental Solution;分数阶偏微分方程的数值解及基本解LLz汉语字典

Theoretical and Numerical Investigation of Fractional Partial Differential Equations分数阶偏微分方程的理论和数值研究LLz汉语字典

Multi-order Fractional Ordinary Differential Equation and Fractional Diffusion-wave Equation;多阶的分数阶常微分方程和分数阶扩散—波动方程LLz汉语字典

On the Distribution of Zeros of Solutions of Second Order Differential Equations with Meromorphic Coefficients二阶亚纯系数微分方程解的零点分布LLz汉语字典

Numerical Methods for Multi-terms Fractional-Order Ordinary Differential Equation;求解多项分数阶常微分方程的数值方法LLz汉语字典