共查询到20条相似文献,搜索用时 31 毫秒
1.
田元生 《应用泛函分析学报》2012,14(3):274-281
应用凸锥上的不动点定理,讨论了一类分数阶微分方程m点边值问题正解的存在性,得到了这类边值问题至少存在一个正解的充分条件,并给出了一个实例. 相似文献
2.
讨论了非线性分数阶微分方程的两点边值问题.其导数是Riemann-Liouville型分数阶导数,应用推广了的双锥不动点定理,证明其在L(0,1)中存在三重正解. 相似文献
3.
研究分数阶微分方程多点分数阶边值问题解的存在性与唯一性,利用不动点定理,得到了边值问题存在唯一解和至少存在1个解的充分条件. 相似文献
4.
In this paper, we consider a class of nonlinear fractional differential equation boun- dary value problem with a parameter. By some fixed point theorems, sufficient con- ditions for the existence, nonexistence and multiplicity of positive solutions to the system are obtained. An example is given to illustrate the main results. 相似文献
5.
Existence of solution for boundary value problem of nonlinear fractional differential equation 总被引:2,自引:0,他引:2
References: 《高校应用数学学报(英文版)》2007,22(3):291-298
This paper is concerned with the boundary value problem of a nonlinear fractional differential equation.By means of Schauder fixed-point theorem,an existence result of solution is obtained. 相似文献
6.
In this paper,we are concerned with the existence of positive solutions to an m-point boundary value problem with p-Laplacian of nonlinear fractional differential equation.By means of Krasnosel'skii fixed-point theorem on a convex cone and Leggett-Williams fixed-point theorem,the existence results of solutions are obtained. 相似文献
7.
In this paper, using two fixed-point theorems, we consider the existence and mul- tiplicity results of solutions to a nonlinear two point boundary value problem. In argument, the properties of the Green function play an important role. 相似文献
8.
通过Schauder不动点定理和Banach压缩映射原理得到了一类非线性分数阶脉冲微分方程边值问题解的存在性和唯一性结果. 相似文献
9.
10.
讨论了一类非线性分数阶微分方程三点边值问题解的存在性.微分算子是Riemann-Liouville导算子并且非线性项依赖于低阶分数阶导数.通过将所考虑的问题转化为等价的Fredholm型积分方程,利用Schauder不动点定理获得该三点边值问题至少存在一个解. 相似文献
11.
Xinwei Su 《Applied Mathematics Letters》2009,22(1):64-69
In this work we discuss a boundary value problem for a coupled differential system of fractional order. The differential operator is taken in the Riemann–Liouville sense and the nonlinear term depends on the fractional derivative of an unknown function. By means of Schauder fixed-point theorem, an existence result for the solution is obtained. Our analysis relies on the reduction of the problem considered to the equivalent system of Fredholm integral equations. 相似文献
12.
采用Riemann-Liouville分数阶导数,研究了半正的分数阶微分方程(n-1,1)-型积分边值问题,获得了参数λ的一个区间,使得λ落在这个区间的时候,该半正的分数阶微分方程边值问题有多个正解. 相似文献
13.
In this paper, we establish the existence result of solution and positive solution for two-point boundary value problem of a semilinear fractional differential equation
by using the Leray-Schauder fixed-point theorem. The discussion is based on the system of integral equations on a bounded region. 相似文献
14.
Li Xu Chengbo Zhai 《Annals of Differential Equations》2014,(3):352-358
In this paper, using fixed point theorems of general β-concave operators in ordered Banach space, we obtain the existence and uniqueness of positive solutions to a class of fractional boundary problem. In the end, an example is given to illustrate our main result. 相似文献
15.
Mouffak Benchohra Naima Hamidi Johnny Henderson 《Numerical Functional Analysis & Optimization》2013,34(4):404-414
We are concerned with the existence of solutions of a class of fractional differential equations with anti-periodic boundary conditions involving the Caputo fractional derivative. We give two results: the first is based on Banach's fixed-point theorem, and the second is based on Schauder's fixed-point theorem. 相似文献
16.
In an earlier paper, we proved the existence of solutions to the Skorohod problem with oblique reflection in time-dependent domains and, subsequently, applied this result to the problem of constructing solutions, in time-dependent domains, to stochastic differential equations with oblique reflection. In this paper we use these results to construct weak approximations of solutions to stochastic differential equations with oblique reflection, in time-dependent domains in Rd, by means of a projected Euler scheme. We prove that the constructed method has, as is the case for normal reflection and time-independent domains, an order of convergence equal to 1/2 and we evaluate the method empirically by means of two numerical examples. Furthermore, using a well-known extension of the Feynman-Kac formula, to stochastic differential equations with reflection, our method gives, in addition, a Monte Carlo method for solving second order parabolic partial differential equations with Robin boundary conditions in time-dependent domains. 相似文献
17.
Limei Song 《Annals of Differential Equations》2012,(3):320-326
In this paper,we establish sufficient conditions for the existence of positive solutions to a general class of integral boundary value problem(BVP) of nonlinear fractional functional differential equation.A differential operator is taken in the RiemannLiouville sense.Our analysis relies on the Krasnosel'skii fixed-point theorem in cones.We also give examples to illustrate the applicability of our results. 相似文献
18.
Nobito Yamamoto Mitsuhiro T. Nakao Yoshitaka Watanabe 《Numerical Functional Analysis & Optimization》2013,34(11):1190-1204
We give a theoretical result with respect to numerical verification of existence and local uniqueness of solutions to fixed-point equations which are supposed to have Fréchet differentiable operators. The theorem is based on Banach's fixed-point theorem and gives sufficient conditions in order that a given set of functions includes a unique solution to the fixed-point equation. The conditions are formulated to apply readily to numerical verification methods. We already derived such a theorem in [11], which is suitable to Nakao's methods on numerical verification for PDEs. The present theorem has a more general form and one may apply it to many kinds of differential equations and integral equations which can be transformed into fixed-point equations. 相似文献
19.
Positive solutions for boundary value problems of nonlinear fractional differential equation 总被引:1,自引:0,他引:1
In this paper, we deal with the following nonlinear fractional boundary value problem where is the standard Riemann–Liouville fractional derivative. By means of lower and upper solution method and fixed-point theorems, some results on the existence of positive solutions are obtained for the above fractional boundary value problems. 相似文献
20.
In this paper, we firstly consider the nonlocal fractional order differential equations involving derivatives. By means of a fixed-point theorem on a cone, the eigenvalue intervals of the above problem are established. Then by using a fixed point theorem for operators on a cone, we establish sufficient conditions for the existence of multiple (at least three) positive solutions to the nonlocal boundary value problem. 相似文献