排序方式: 共有99条查询结果,搜索用时 46 毫秒
91.
In this paper we prove the existence and uniqueness of the solution for a class of nonlinear fractional differential system, and investigate the dependence of the solution on the orderαi. 相似文献
92.
陶祥兴 《浙江大学学报(理学版)》1992,19(1):18-25
本文给出了R_+上的权函数(非负可测函数)v(x)、w(x)的一个充分必要条件,使得‖T_wf(x)‖L~(p,q(w))≤c‖f‖L~r(v),0
Riemann-Liouville分数积分T_。,(a≥1). 相似文献
93.
Existence of positive solutions for the following system of fractional differential equations:
94.
In this paper, we consider the variable-order Galilei advection diffusion equation with a nonlinear source term. A numerical scheme with first order temporal accuracy and second order spatial accuracy is developed to simulate the equation. The stability and convergence of the numerical scheme are analyzed. Besides, another numerical scheme for improving temporal accuracy is also developed. Finally, some numerical examples are given and the results demonstrate the effectiveness of theoretical analysis. 相似文献
95.
96.
Dayi Zheng 《Annals of Differential Equations》2014,(4):494-501
In this paper, we study a fractional order hybrid non-homogeneous ordinary diffe- rential equation. We gain r^ae^rt for the a order derivatives of both Riemann-Liouville type and Caputo type of function f(t) = e^rt by letting integral lower limit of fractional derivative be -∞. It is first time for us to use the traditional eigenvalue method to solve fractional order ordinary differential equation. However, the law of the number of mutually independent arbitrary constants in general solutions to fractional order hy- brid non-homogeneous ordinary differential equation and general ordinary differential equation are very different. 相似文献
97.
In this article,we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations.We use the improved(G’/G)-expansion function method to calculate the exact solutions to the time-and space-fractional derivative foam drainage equation and the time-and space-fractional derivative nonlinear KdV equation.This method is efficient and powerful for solving wide classes of nonlinear evolution fractional order equations. 相似文献
98.
The purpose of this paper is to present some new fixed point theorems for mixed monotone operators with perturbation by using the properties of cones and a fixed point theorem for mixed monotone operators. As applications, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for nonlinear fractional differential equation boundary value problems. 相似文献
99.
In this paper, we introduce and investigate a fractional calculus with an integral operator which contains the following family of generalized Mittag-Leffler functions: