Mild solutions of Riemann-Liouville fractional differential equations with fractional impulses

被引：10

作者：

Anguraj, Annamalai ^{[1
]}

Kanjanadevi, Subramaniam ^{[1
]}

Jose Nieto, Juan ^{[2
,3
]}

机构：

[1] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, Tamil Nadu, India

[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

[3] Univ Santiago de Compostela, Dept Math Anal, Fac Math, Santiago De Compostela 15782, Spain

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2017年 / 22卷 / 06期

关键词：

fractional derivative; fractional impulsive conditions; (a; k)-regularized resolvent operator; Riemann-Liouville operator; INITIAL-VALUE PROBLEMS; EVOLUTION-EQUATIONS; EXISTENCE; DERIVATIVES;

D O I：

10.15388/NA.2017.6.2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Riemann-Liouville fractional differential equations with fractional-order derivative in the impulsive conditions. We study the existence of the mild solution by applying the Laplace transform method and (a, k)-regularized resolvent operator. We use the contraction mapping principle and fixed point theorem for condensing map to prove our existence results.

引用

页码：753 / 764

页数：12

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