Semilinear Conformable Fractional Differential Equations in Banach Spaces

被引：26

作者：

Jaiswal, Anjali ^{[1
]}

Bahuguna, D. ^{[1
]}

机构：

[1] Indian Inst Technol Kanpur, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2019年 / 27卷 / 1-3期

关键词：

Conformable fractional derivative; Fractional-order differential equation; Banach fixed point theorem; MSC; 34G10; 34G20;

D O I：

10.1007/s12591-018-0426-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the concept of a mild solution of conformable fractional abstract initial value problem. We establish the existence and uniqueness theorem using the contraction principle. As a regularity result for a linear problem, we show that the mild solution is in fact a strong solution. We give an example to demonstrate the applicability of the established theoretical results.

引用

页码：313 / 325

页数：13

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