Hilfer Fractional Differential Equations with Almost Sectorial Operators

被引：40

作者：

Jaiswal, Anjali ^{[1
]}

Bahuguna, D. ^{[1
]}

机构：

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

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2023年 / 31卷 / 02期

关键词：

Almost sectorial operator; Cauchy problem; Hilfer fractional derivative; Measure of noncompactness; CAUCHY-PROBLEMS; EVOLUTION; EXISTENCE;

D O I：

10.1007/s12591-020-00514-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we consider an abstract Cauchy problem with the Hilfer fractional derivative and an almost sectorial operator. We introduce a suitable definition of a mild solution for this evolution equation and establish the existence result for a mild solution. We also give an example to highlight the applicability of theoretical results established.

引用

页码：301 / 317

页数：17

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