Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators

被引：36

作者：

Karthikeyan, Kulandhaivel ^{[1
]}

Debbouche, Amar ^{[2
,3
]}

Torres, Delfim F. M. ^{[3
]}

机构：

[1] KPR Inst Engn & Technol, Ctr Res & Dev, Dept Math, Coimbatore 641407, Tamil Nadu, India

[2] Guelma Univ, Dept Math, Guelma 24000, Algeria

[3] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

来源：

FRACTAL AND FRACTIONAL | 2021年 / 5卷 / 01期

关键词：

Hilfer fractional derivatives; mild solutions; almost sectorial operators; measure of non-compactness; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL EQUATIONS; INCLUSIONS; EXISTENCE;

D O I：

10.3390/fractalfract5010022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we investigate a class of nonlocal integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove our results by applying Schauder's fixed point technique. Moreover, we show the fundamental properties of the representation of the solution by discussing two cases related to the associated semigroup. For that, we consider compactness and noncompactness properties, respectively. Furthermore, an example is given to illustrate the obtained theory.

引用

页数：13

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