共查询到20条相似文献,搜索用时 15 毫秒
1.
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
2.
Existence of solutions for fractional differential equation three-point boundary value problems 下载免费PDF全文
In this paper, by using some fixed point theorems, the existence of unique solution and the existence of at least one solution for a fractional differential equation three-point boundary value problems are established. Finally, some illustrative examples are presented to demonstrate the validity of the main results. 相似文献
3.
Positive solutions of fractional differential equation boundary value problems at resonance 下载免费PDF全文
In this article, we study a class of fractional differential equations with resonant boundary value conditions. Some sufficient conditions for the existence of positive solutions are considered by means of the spectral theory of linear operator and the fixed point index theory. 相似文献
4.
Shuqin Zhang 《Positivity》2009,13(3):583-599
In this paper, we consider the existence, multiplicity, and nonexistence of positive solutions to some class of boundary vale
problem for fractional differential equation of high order. Our analysis relies on the fixed point index.
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5.
Three positive solutions for boundary value problem for differential equation with Riemann-Liouville fractional derivative 下载免费PDF全文
In this paper, by using the Avery-Peterson fixed point theorem, we establish the existence result of at least three positive solutions of boundary value problem of nonlinear differential equation with Riemann-Liouville''s fractional order derivative. An example illustrating our main result is given. Our results complements and extends previous work in the area of boundary value problems of nonlinear fractional differential equations. 相似文献
6.
In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some $p > 1$, we discuss the existence and multiplicity of positive solutions to the four point boundary value problems of nonlinear fractional differential equations. Our results extend some recent works in the literature. 相似文献
7.
含积分边界条件的分数阶微分方程边值问题的正解的存在性 总被引:1,自引:0,他引:1
研究了含积分边界条件的分数阶微分方程的边值问题,首先给出格林函数及性质,其次将问题转化为一个等价的积分方程,最后应用Krasnoselkii及Leggett-Williams不动点定理得到了一个及多个正解的存在性,推广了以往的结果. 相似文献
8.
Existence and uniqueness of solutions for a fractional differential equation with multi-point boundary value problems 下载免费PDF全文
In this paper, we study the existence and uniqueness solutions of a fractional differential equation with multi-point boundary value problems. By using the fixed point theorems, some new results are established and two examples are given to demonstrate the application of main results. 相似文献
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10.
Positive solutions for boundary value problem of nonlinear fractional differential equation 总被引:6,自引:0,他引:6
In this paper, we investigate the existence and multiplicity of positive solutions for nonlinear fractional differential equation boundary value problem:
11.
Two-point boundary value problems for the generalized Bagley-Torvik fractional differential equation
Svatoslav Staněk 《Central European Journal of Mathematics》2013,11(3):574-593
We investigate the fractional differential equation u″ + A c D α u = f(t, u, c D μ u, u′) subject to the boundary conditions u′(0) = 0, u(T)+au′(T) = 0. Here α ∈ (1, 2), µ ∈ (0, 1), f is a Carathéodory function and c D is the Caputo fractional derivative. Existence and uniqueness results for the problem are given. The existence results are proved by the nonlinear Leray-Schauder alternative. We discuss the existence of positive and negative solutions to the problem and properties of their derivatives. 相似文献
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13.
Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval 下载免费PDF全文
Xiaochen Li Xiping Liu Mei Jia Yan Li Sha Zhang 《Mathematical Methods in the Applied Sciences》2017,40(6):1892-1904
In this paper, we consider a class of nonlinear fractional differential equations on the infinite interval with the integral boundary conditions By using Krasnoselskii fixed point theorem, the existence results of positive solutions for the boundary value problem in three cases and , are obtained, respectively. We also give out two corollaries as applications of the existence theorems and some examples to illustrate our results. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
14.
利用分歧方法和拓扑度理论,研究了一类带参数的分数阶微分方程积分边值问题正解的存在性.根据格林函数的性质,得到了系统正解的存在的若干充分条件.最后,通过数值例子验证了所得结果的有效性. 相似文献
15.
Chuanzhi Bai 《Journal of Mathematical Analysis and Applications》2011,384(2):211-231
In this paper, we investigate the existence of solutions of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville sequential fractional derivative by using monotone iterative method. An example is presented to illustrate our main result. 相似文献
16.
N. Nyamoradi 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2013,48(4):145-157
The paper studies the problem of existence of positive solution to the following boundary value problem: $D_{0^ + }^\sigma u''(t) - g(t)f(u(t)) = 0$ , t ∈ (0, 1), u″(0) = u″(1) = 0, au(0) ? bu′(0) = Σ i=1 m?2 a i u(ξ i ), cu(1) + du′(1) = Σ i=1 m?2 b i u(ξ i ), where $D_{0^ + }^\sigma$ is the Riemann-Liouville fractional derivative of order 1 < σ ≤ 2 and f is a lower semi-continuous function. Using Krasnoselskii’s fixed point theorems in a cone, the existence of one positive solution and multiple positive solutions for nonlinear singular boundary value problems is established. 相似文献
17.
On positive solutions to fractional sum boundary value problems for nonlinear fractional difference equations 下载免费PDF全文
Jiraporn Reunsumrit Thanin Sitthiwirattham 《Mathematical Methods in the Applied Sciences》2016,39(10):2737-2751
In this paper, we study a new class of 3‐point boundary value problems of nonlinear fractional difference equations. Our problems contain difference and fractional sum boundary conditions. Existence and uniqueness of solutions are proved by using the Banach fixed‐point theorem, and existence of the positive solutions is proved by using the Krasnoselskii's fixed‐point theorem. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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19.
Yuan-sheng TIAN 《应用数学学报(英文版)》2013,29(3):661-672
In this paper, we study the multiplicity of positive solutions to the following m-point boundary value problem of nonlinear fractional differential equations: Dqu(t) + f(t, u(t)) = 0, 0 < t < 1, u(0) = 0, u(1) =sum (μiDpu(t)|t = ξi ) from i =1 to ∞ m-2, where q ∈R , 1
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20.
For nonlinear fractional differential equations with singularities in the phase variable, we establish tests for the existence of several positive solutions of two-point boundary value problems. 相似文献