HILFER AND HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS IN FRECHET SPACES

被引：0

作者：

Abbas, Said ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Hamidi, Naima ^{[2
]}

Nieto, Juan J. ^{[3
]}

机构：

[1] Tahar Moulay Univ Saida, Lab Math Geometry Anal Control & Applicat, Saida, Algeria

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

[3] Univ Santiago de Compostela, Inst Matemat, Dept Estat Anal Matemat & Optimizac, Santiago De Compostela, Spain

来源：

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2019年 / 10卷 / 01期

关键词：

fractional differential equation; left-sided mixed integral; fractional order; Hilfer fractional derivative; measure of noncompactness; Frechet space; existence; Ulam stability; fixed point; OPERATIONAL CALCULUS; DERIVATIVE OPERATORS; STABILITY; FAMILIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the fixed point theory and the technique relying on the concept of measure of noncompactness in Frechet spaces, we prove some existence and Ulam-Hyers-Rassias stability results for some Hilfer and Hilfer-Hadamard fractional differential equations.

引用

页码：102 / 116

页数：15

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