Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions

被引：7

作者：

Mardanov, M. J. ^{[1
]}

Mahmudov, N. I. ^{[2
,3
]}

Sharifov, Y. A. ^{[3
,4
]}

机构：

[1] ANAS, Inst Math & Mech, Baku 1141, Azerbaijan

[2] Eastern Mediterranean Univ, Dept Math, Gazimagusa, North Cyprus, Turkey

[3] ANAS, Inst Cybernet, Baku 1141, Azerbaijan

[4] Baku State Univ, Baku 1148, Azerbaijan

来源：

SCIENTIFIC WORLD JOURNAL | 2014年

关键词：

CALCULUS;

D O I：

10.1155/2014/918730

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study a boundary value problem for the system of nonlinear impulsive fractional differential equations of order alpha (0 < alpha <= 1) involving the two-point and integral boundary conditions. Some new results on existence and uniqueness of a solution are established by using fixed point theorems. Some illustrative examples are also presented. We extend previous results even in the integer case alpha = 1.

引用

页数：8

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