ATTRACTIVITY FOR DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER AND ψ-HILFER TYPE

被引：23

作者：

Sousa, J. Vanterler da C. ^{[1
]}

Benchohra, Mouffak ^{[2
]}

N'Guerekata, Gaston M. ^{[3
]}

机构：

[1] Univ Estadual Campinas, Imecc, Dept Appl Math, BR-13083859 Campinas, SP, Brazil

[2] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[3] Morgan State Univ, NEERLab, Dept Math, Baltimore, MD 21251 USA

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2020年 / 23卷 / 04期

关键词：

psi-Hilfer fractional derivative; fractional differential equations; global attractivity: Krasnoselskii's fixed point; GLOBAL ATTRACTIVITY; EVOLUTION-EQUATIONS; EXISTENCE; STABILITY;

D O I：

10.1515/fca-2020-0060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the overall solution attractivity of the fractional differential equation involving the psi-Hilfer fractional derivative and using the Krasnoselskii's fixed point theorem. We highlight some particular cases of the results presented here, especially involving the Riemann-Liouville, thus illustrating the broad class of fractional derivatives to which these results can be applied.

引用

页码：1188 / 1207

页数：20

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