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
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
收藏
页码:1188 / 1207
页数:20
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