Almost sectorial operators on ψ-Hilfer derivative fractional impulsive integro-differential equations

被引：159

作者：

Karthikeyan, Kulandhivel ^{[1
]}

Karthikeyan, Panjaiyan ^{[2
]}

Baskonus, Haci Mehmet ^{[3
]}

Venkatachalam, Kuppusamy ^{[2
]}

Chu, Yu-Ming ^{[4
,5
]}

机构：

[1] KPR Inst Engn & Technol, Dept Math, Coimbatore, Tamil Nadu, India

[2] Sri Vasavi Coll, Dept Math, Erode, India

[3] Harran Univ, Fac Educ, Dept Math & Sci Educ, Sanliurfa, Turkey

[4] Hangzhou Normal Univ, Inst Adv Study Honoring Chen Jian Gong, Hangzhou 311121, Peoples R China

[5] Huzhou Univ, Dept Math, Huzhou, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 13期

关键词：

almost sectorial operators; impulsive conditions; measure of noncompactness; mild solutions; psi-Hilfer fractional derivative;

D O I：

10.1002/mma.7954

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence results of psi-Hilfer fractional impulsive integro-differential equations involving almost sectorial operators. The mild solutions of the problems are proved by using Schauder fixed-point theorem along with measure of noncompactness. We have discussed the two cases of operators associated semigroup. Also, we consider an abstract application via Hilfer fractional derivative system to verify the results.

引用

页码：8045 / 8059

页数：15

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