Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Orderα∈(2,3]with Nonlocal Boundary Conditions

LihongZhang; GuotaoWang; GuangxingSong

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Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Orderα∈(2,3]with Nonlocal Boundary Conditions

机译：具有非局部边界条件的阶αε（2,3]非线性脉冲分数阶微分方程解的存在性

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摘要

We investigate the existence and uniqueness of solutions to the nonlocal boundary value problem for nonlinear impulsive fractional differential equations of orderα∈(2,3]. By using some well-known fixed point theorems, sufficient conditions for the existence of solutions are established. Some examples are presented to illustrate the main results.

机译：我们研究了α∈（2,3]阶非线性脉冲分数阶微分方程非局部边值问题解的存在性和唯一性，利用一些著名的不动点定理，为解的存在性建立了充分的条件。举例说明主要结果。

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《Abstract and applied analysis》 |2012年第2期|共26页
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LihongZhang; GuotaoWang; GuangxingSong;
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1. Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Orderα∈(2,3]with Nonlocal Boundary Conditions [J] . LihongZhang, GuotaoWang, GuangxingSong Abstract and applied analysis . 2012,第6期

机译：具有非局部边界条件的阶αε（2,3]非线性脉冲分数阶微分方程解的存在性
2. Existence Results for Impulsive Nonlinear Fractional Differential Equations With Nonlocal Boundary Conditions [J] . Zhenhai Liu, Jingyun Lv Mathematica Slovaca . 2015,第6期

机译：脉冲非线性分数微分方程的存在结果与非识别边界条件
3. New existence results for nonlinear impulsive integro-differential equations of fractional order with nonlocal boundary conditions [J] . Wang G., Ahmad B., Zhang L. Nonlinear studies . 2013,第1期

机译：具有非局部边界条件的分数阶非线性脉冲积分微分方程的新存在性结果
4. Existence results for first order nonlinear impulsive differential equations with nonlocal boundary conditions [C] . Misir J. Mardanov, Yagub A. Sharifov International Conference on Advancements in Mathematical Sciences . 2015

机译：具有非识别边界条件的第一阶非线性脉冲微分方程的存在结果
5. Positive solutions of higher order boundary value problems of nonlinear fractional differential equations. [D] . McCabe, Michael. 2014

机译：非线性分数阶微分方程的高阶边值问题的正解。
6. Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions [O] . M. J. Mardanov, N. I. Mahmudov, Y. A. Sharifov -1

机译：具有两点和积分边界条件的脉冲分数阶微分方程的存在性和唯一性定理
7. Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Orderα∈(2,3with Nonlocal Boundary Conditions [O] . Lihong Zhang, Guotao Wang, Guangxing Song 2012

机译：非识别边界条件阶αν（2,3非线性脉冲分数差分方程解的存在性

Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Orderα∈(2,3]with Nonlocal Boundary Conditions

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