Caputo相关论文
Stationary Response of Non-Linear System with Caputo-Type Fractional Derivative Damping Under Gaussi
This paper aims to investigate the response of single-degree-of-freedom (SDOF) system with Caputo-type fractional deriva......
NON-INSTANTANEOUS IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH STATE DEPENDENT DELAY AND PRACTIC
Nonlinear delay Caputo fractional differential equations with non-instantaneous impulses are studied and we consider the......
ON A COUPLED INTEGRO-DIFFERENTIAL SYSTEM INVOLVING MIXED FRACTIONAL DERIVATIVES AND INTEGRALS OF DIF
By applying the standard fixed point theorems,we prove the existence and uniqueness results for a system of coupled diff......
Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Unifo
We introduce a high-order numerical scheme for fractional ordinary differential equations with the Caputo derivative.The......
On the existence and the uniqueness theorem for fractional differential equations with bounded delay
Local and global existence and uniqueness theorems for a functional delay fractional differential equation with bounded ......
根据分数阶导数的定义,计算基本初等函数在Riemann-Liouville分数阶导数和Caputo分数阶导数不同定义下的分数阶导数,并对同一基本......
Two-variable Jacobi polynomials,as a two-dimensional basis,are applied to solve a class of temporal fractional partial d......
By transforming the Caputo tempered fractional advection-diffusion equation into the Riemann–Liouville tempered fractio......
近300年来,分数阶微积分这一重要数学分支渐成体系,它被应用于许多学科的工程计算中,特别是在化学,电磁学,控制学,材料学和力学中.......
用广义微分变换法（GDTM）求解了带Caupto时间分式导数的微分代数方程.展示的GDTM是基于广义泰勒公式,重构微分方程多项式形式解析解的......
Based on the theory of fractional calculus, the contraction mapping principle, Krasnoselskii fixed point theorem and the......
考虑一类具有 Caputo 导数的分数阶非线性微分方程在半无穷区间上的边值问题，用Schauder 不动点定理和 Leggett-Williams 不动点定......
With the increasingly deep studies in physics and technology,the dynamics of fractional order nonlinear systems and the ......
In this paper, we approximate the solution to time-fractional telegraph equation by two kinds of difference methods: the......
Fractional differential equations are widely used in many fields. In this paper, we discussed the fractional differentia......
Fractional differential equations have recently been applied in various areas of engineering, science, finance, applied ......
This paper is devoted to implementing the Legendre spectral collocation method to introduce numerical solutions of a cer......
Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equatio
This paper extends the homotopy perturbation Sumudu transform method (HPSTM) to solve linear and nonlinear fractional Kl......
The dynamics of a fractionalized semi-linear scalar differential equation is considered with a Caputo fractional derivat......
There are few numerical techniques available to solve the Bagley-Torvik equation which occurs considerably frequently in......
In this paper, we introduce a numerical treatment using generalized Euler method (GEM) for the non-linear programming pr......
Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equati
This paper studies the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractio......
Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with No
In this article, by using Schaefer fixed point theorem, we establish sufficient conditions for the existence and uniquen......
Numerical Solution for the Fractional Wave Equation Using Pseudo-Spectral Method Based on the Genera
In this paper, an efficient numerical method is considered for solving the fractional wave equation (FWE). The fractiona......
近300年来，分数阶微积分这一重要数学分支渐成体系，它被应用于许多工程计算中，特别是在化学、电磁学、控制学、材料学和力学中．分数阶......
In this paper, we investigate the solvability of boundary value problems for a class of vibration differential equation ......
In this paper, a fractional multi-point boundary value problem is considered. By using the fixed point index theory and ......
在这篇文章，我们为解决起始的价值开发一个充分分离的 Galerkin (DG ) 方法部分 integro 微分的方程(FIDE ) 。我们为近似解决方案......
In this paper, first we obtain some new fractional integral inequalities. Then using these inequalities and fixed point ......
The (integer order) Halanay inequality with distributed delays is extended to the fractional order case. It is proved th......
Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differen
In this paper, we research the existence and uniqueness of positive solutions for a coupled system of fractional differe......
第一部分，介绍分数阶导数的定义和著名的Mittag—Leffler函数的性质．第二部分，利用单调迭代方法给出了具有2序列Riemann—Liouville分......
In this paper,we develop a novel fi nite-diff erence scheme for the time-Caputo and space-Riesz fractional diff usion eq......
We present here a high-order numerical formula for approximating the Caputo fractional derivative of order??for 0<α<1.T......
Most of the existing multivariable grey models are based on the 1-order derivative and 1-order accumulation, which makes......
首先,介绍了非线性项变号的分数阶微分方程边值问题解相关的定义及重要引理。讨论Caputo型非线性项变号的分数阶微分方程边值问题......
