Existence of the Mild Solutions for Nonlocal Fractional Differential Equations of Sobolev Type with Iterated Deviating Arguments

被引：1

作者：

Chadha, Alka ^{[1
]}

Pandey, Dwijendra N. ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

来源：

DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, ICDDEA 2015 | 2016年 / 164卷

关键词：

Fractional calculus; Caputo derivative; Fractional differential equation; Nonlocal conditions; Deviated argument; EVOLUTION-EQUATIONS;

D O I：

10.1007/978-3-319-32857-7_3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates a nonlocal differential equation of Sobolev type of fractional order with iterated deviating arguments in Banach space. The sufficient condition for providing the existence of mild solution to the nonlocal Sobolev-type fractional differential equation with iterated deviating arguments is obtained via technique of fixed-point theorems and analytic semigroup method. Finally, an example is given to explain the applicability of the abstract results developed.

引用

页码：25 / 37

页数：13

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