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
收藏
页码：102 / 116
页数：15
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