EXISTENCE OF SOLUTIONS TO COUPLED FRACTIONAL ORDER SYSTEMS WITH THREE-POINT BOUNDARY CONDITIONS

This paper investigates a class of coupled systems of nonlinear fractional differential equations with three-point boundary conditions. Under suitable conditions the existence of solutions is obtained using the Schauder fixed point theorem.     

具有分数导数的p-Laplace方程非局部边值问题的多个正解

In this paper,we study the multiple positive solutions of integral boundary value problems for a class of p-Laplacian differential equations involving the Caputo fractional derivative.Using a fixed point theorem due to Avery and Peterson,we obtain the existence of at least three positive decreasing solutions of the nonlocal boundary value problems. We give an example to illustrate our results.     

EXISTENCE OF MILD SOLUTIONS TO SEMILINEAR FRACTIONAL ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

In this paper,we use the analytic semigroup theory of linear operators and fixed point method to prove the existence of mild solutions to a semilinear fractional order functional differential equations in a Banach space.     

Multiple Positive Solutions of Nonlocal Boundary Value Problems for p-Laplacian Equations with Fractional Derivative

In this paper,we study the multiple positive solutions of integral boundary value problems for a class of p-Laplacian differential equations involving the Caputo fractional derivative.Using a fixed point theorem due to Avery and Peterson,we obtain the existence of at least three positive decreasing solutions of the nonlocal boundary value problems. We give an example to illustrate our results.     

On a Discrete Fractional Boundary Value Problem with Nonlocal Fractional Boundary Conditions

In this paper, we investigate the nonlinear fractional difference equation with nonlocal fractional boundary conditions. We derive the Green＇s function for this problem and show that it satisfies certain properties. Some existence results are obtained by means of nonlinear alternative of Leray-Schauder type theorem and Krasnosel-skii＇s fixed point theorem.     

The Solution to Impulse Boundary Value Problem for a Class of Nonlinear Fractional Functional Differential Equations

In this paper, we investigate the existence of solution for a class of impulse boundary value problem of nonlineax fractional functional differential equation of mixed type. We obtain the existence results of solution by applying some well-known fixed point theorems. An examule is given to illustrate the effectiveness of our result.     

EXISTENCE OF TRIPLE POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION DEPENDING ON A PARAMETER

In this paper,we establish the existence of three positive solutions to a nonlinear fractional differential equation by the Leggett-Williams fixed point theorem.     

EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTION TO A CLASS OF HIGHER DIMENSIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS

In this paper,using fixed point method,we discuss the problem of periodic solution to a class of higher dimensional functional differential equation.Our results extend and improve some results of the previous researches.     

Existence and Uniqueness of Positive Solutions for a System of Multi-order Fractional Differential Equations

In this paper, we prove the existence and uniqueness of positive solutions for a system of multi-order fractional differential equations. The system is used to represent constitutive relation for viscoelastic model of fractional differential equa-tions. Our results are based on the fixed point theorems of increasing operator and the cone theory, some illustrative examples are also presented.     

MULTIPLE PERIODIC SOLUTIONS TO SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH INFINITE DELAY

This paper is concerned with the existence of positive periodic solutions to a second order functional differential equation with infinite delay.Under the appropriate conditions,some existence and multiplicity of positive periodic solutions are derived by an abstract fixed-point theorem.     

一类带有分数阶积分边值条件的分数阶微分方程的可解性(英文)

本文研究下面一类带有分数阶积分边值条件的分数阶微分方程cDα0+u(t)=f(t,u(t),cDβ0+u(t)),0相似文献   

一类具p-laplacian算子的含积分边界条件的分数阶微分方程边值问题解的存在性

利用Green函数的性质、u_0-边界函数、不动点指数定理及锥压缩与锥拉升不动点定理,研究一类具p-laplacian算子的含积分边界条件的微分方程边值问题解的存在性.     

分数阶微分方程多点分数阶边值问题

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.     

一类分数阶微分方程奇异多点边值问题解的存在性和唯一性

研究一类非线性分数阶微分方程奇异多点边值问题,利用Schauder不动点定理以及压缩映像原理,得到了边值问题解的存在性及唯一性的充分条件.     

一类具有P-Laplacian算子的非线性分数阶微分方程解的存在性研究

通过构造Green函数的性质,利用Banach不动点定理,研究了一类带有P-Lapalcian算子Caputo型非线性分数阶微分方程的正解问题;并通过构造第二变元的Lipschitz条件,在P-Lapalcian算子参数取不同值的范围下,分别证明了边值问题正解的存在性与唯一性.     

含积分边界条件的二阶边值问题的两个正解的存在性

利用Avery-Henderson不动点定理,研究了含积分边界条件的二阶边值问题正解的存在性,推广了以往的结果.     

奇异耦合分数阶微分方程组Dirichlet型边值问题的正解

研究了一非线性奇异非自治耦合半正分数阶微分方程组Dirichlet型边值问题.利用Schauder不动点定理,获得了该非自治耦合分数阶微分方程组Dirichlet型边值问题的正解.     

带有积分边值条件的分数阶微分包含解的存在性

本文利用Hausdorff非紧测度、分数阶的微积分理论和Kakutani不动点定理,研究了满足条件z(0)=z0,z(1)=λcI0+γ+z(η)=λ∫0η(η-s)γ-1/Γ(γ)z(s)ds的广义Bagley-Torvik型分数阶微分包含cDv1 z(t)-ac Dv2 Z(t)∈F(t,z(t)),t∈(0,1)解的存在性.其中1 0,a和λ是给定的常数.     

具有混合单调性的脉冲微分方程解的存在性

利用混合单调算子的不动点定理,讨论了一类二阶脉冲微分方程两点边值问题,得到了存在唯一正解的充分条件,此外给出了相应的例子.