共查询到20条相似文献,搜索用时 15 毫秒
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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
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W. Lv 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2017,52(6):261-266
This paper is mainly concerned with the existence of solutions for a certain class of discrete fractional difference inclusions with boundary conditions.Under certain suitable conditions, the existence results are established by using fixed point theory for multi-valued upper semicontinuous maps. Also, an example is presented to illustrate the possible applications of the obtained results. 相似文献
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Guocheng LiXiaoping Xue 《Journal of Mathematical Analysis and Applications》2002,276(1):168-183
In this paper we study the existence of periodic solutions for differential inclusions. We prove existence theorems under various sets of hypotheses for both the nonconvex and convex problems. Also we show the existence of extreme solutions. Some feedback control systems are also considered. 相似文献
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《Journal of Computational and Applied Mathematics》2001,132(2):341-356
We prove the existence of positive solutions of second-order nonlinear differential equations on a finite interval with periodic boundary conditions and give upper and lower bounds for these positive solutions. Obtained results yield positive periodic solutions of the equation on the whole real axis, provided that the coefficients are periodic. 相似文献
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O. N. Masina 《Differential Equations》2008,44(6):872-875
We consider differential inclusions corresponding to accretive operators in a Banach space X for the case in which X is the one-dimensional Euclidean space. We prove existence theorems and an asymptotic stability theorem. We also introduce the notion of a generalizednonincreasing (nondecreasing) multivalued function and establish a relationship between nondecreasing multivalued functions and accretive operators in the one-dimensional Euclidean space. 相似文献
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研究一类具有Riemann-Liouville导数的分数阶奇异微分方程积分边值问题的可解性.运用Guo-Krasnoselskii不动点定理,得到了奇异微分方程积分边值问题正解的存在性定理.最后,给出了一个实例,用于说明所得结论的有效性. 相似文献
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Wen-Xue Zhou Yan-Dong Chu 《Communications in Nonlinear Science & Numerical Simulation》2012,17(3):1142-1148
We discuss the existence of solutions for a nonlinear multi-point boundary value problem of integro-differential equations of fractional order q ∈ (1, 2]. Our analysis relies on the contraction mapping principle and the Krasnoselskii’s fixed point theorem. Example is provided to illustrate the theory. 相似文献
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Positive solutions for nonlinear Caputo fractional differential equations with integral boundary conditions 总被引:1,自引:0,他引:1
Wengui Yang 《Journal of Applied Mathematics and Computing》2014,44(1-2):39-59
In this paper, we consider the properties of Green’s function for a class of nonlinear Caputo fractional differential equations with integral boundary conditions by constructing an available integral operator. By means of well-known fixed point theorems and lower and upper solutions method, some new existence and nonexistence criteria of single or multiple positive solutions for fractional differential equation boundary value problems are established. As applications, some interesting examples are presented to illustrate the main results. 相似文献
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Shurong Sun Yige Zhao Zhenlai Han Yanan Li 《Communications in Nonlinear Science & Numerical Simulation》2012,17(12):4961-4967
In this paper, we study the existence of solutions for the boundary value problem of fractional hybrid differential equationswhere is a real number, is the Riemann–Liouville fractional derivative. By a fixed point theorem in Banach algebra due to Dhage, an existence theorem for fractional hybrid differential equations is proved under mixed Lipschitz and Carathéodory conditions. As an application, examples are presented to illustrate the main results. 相似文献
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In this paper, we prove the existence and uniqueness of solutions for an anti-periodic boundary value problem of nonlinear impulsive differential equations of fractional order α∈(2,3] by applying some well-known fixed point theorems. Some examples are presented to illustrate the main results. 相似文献
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In this paper, we study the existence of positive solutions to the boundary value problem for the fractional differential system $$\left\{\begin{array}{lll} D_{0^+}^\beta \phi_p(D_{0^+}^\alpha u) (t) = f_1 (t, u (t), v (t)),\quad t \in (0, 1),\\ D_{0^+}^\beta \phi_p(D_{0^+}^\alpha v) (t) = f_2 (t, u (t), v(t)), \quad t \in (0, 1),\\ D_{0^+}^\alpha u(0)= D_{0^+}^\alpha u(1)=0,\; u (0) = 0, \quad u (1)-\Sigma_{i=1}^{m-2} a_{1i}\;u(\xi_{1i})=\lambda_1,\\ D_{0^+}^\alpha v(0)= D_{0^+}^\alpha v(1)=0,\; v (0) = 0, \quad v (1)-\Sigma_{i=1}^{m-2} a_{2i}\; v(\xi_{2i})=\lambda_2, \end{array}\right. $$ where ${1<\alpha,\beta\leq 2, 2 <\alpha + \beta\leq 4, D_{0^+}^\alpha}$ is the Riemann–Liouville fractional derivative of order α. By using the Leggett–Williams fixed point theorem in a cone, the existence of three positive solutions for nonlinear singular boundary value problems is obtained. 相似文献
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The existence of positive solutions for a class of fractional equations involving the Riemann–Liouville fractional derivative with integral boundary conditions is investigated. By means of the monotone iteration method and some inequalities associated with the Green function, we obtain the existence of a positive solution and establish the iterative sequence for approximating the solution. 相似文献
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Jiqiang Jiang Lishan Liu Yonghong Wu 《Communications in Nonlinear Science & Numerical Simulation》2013,18(11):3061-3074
By using the fixed point theory in cone and constructing some available integral operators together with approximating technique, the existence of positive solution for a singular nonlinear semipositone fractional differential system with coupled boundary conditions is established. Two examples are then given to demonstrate the validity of our main results. 相似文献
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Youyu Wang 《Applied Mathematics Letters》2012,25(12):2375-2380
In this work, we will establish several new Lyapunov-type inequalities for certain half-linear higher order differential equations with anti-periodic boundary conditions. A lower bound of eigenvalues will be also given. 相似文献