EXISTENCE AND UNIQUENESS OF SOLUTIONS OF FRACTIONAL QUASILINEAR MIXED INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITION IN BANACH SPACES

被引：0

作者：

Bragdi, Mabrouk ^{[1
]}

Hazi, Mohammed ^{[2
]}

机构：

[1] Larbi Ben Mhidi Univ, Fac Sci, Lab Dynam Syst & Control, Oeb, Algeria

[2] Ecole Normale Super, Dept Math, Algiers 16050, Algeria

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 51期

关键词：

Existence and uniqueness; mild and classical solutions; fractional integrodifferential equation; resolvent operators; Banach's fixed point theorem; nonlocal condition; EVOLUTION-EQUATIONS; CONTROLLABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence and uniqueness of mild and classical solutions of quasilinear mixed integrodifferential equations of fractional orders with nonlocal condition in Banach spaces. Furthermore, we study continuous dependence of mild solutions. Our analysis is based on fractional calculus, resolvent operators and Banach's fixed point theorem.

引用

页码：1 / 16

页数：16