Implicit coupled Hilfer-Hadamard fractional differential systems under weak topologies

被引：3

作者：

Abbas, Said ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Hamidi, Naima ^{[2
]}

Zhou, Yong ^{[3
,4
]}

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] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan, Hunan, Peoples R China

[4] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Coupled fractional differential system; Left-sided mixed Pettis-Hadamard integral of fractional order; Hilfer-Hadamard fractional derivative; Weak solution; Implicit; Fixed point; DARBOUX PROBLEM; EXISTENCE; EQUATIONS; INCLUSIONS;

D O I：

10.1186/s13662-018-1787-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of Hilfer-Hadamard type. Our approach is based on Monch's fixed point theorem associated with the technique of measure of weak noncompactness.

引用

页数：17

共 40 条

[1] Abbas S, 2018, DEGRUYTER SER NONLIN, V26, P1, DOI 10.1515/9783110553819
[2] Abbas S., 2017, ADV DYN SYST APPL, V12, P1
[3] Abbas S., 2012, TOPICS FRACTIONAL DI, DOI 10.1007/978-1-4614-4036-9
[4] On fractional order derivatives and Darboux problem for implicit differential equations
Abbas, Said
Benchohra, Mouffak
Vityuk, Aleksandr N.
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (02) : 168 - 182
[5] Akhmerov R. R., 1992, Measures of Noncompactness and Condensing Operators, DOI DOI 10.1007/978-3-0348-5727-7
[6] Alvarez J.C., 1985, Rev. Real. Acad. Cienc. Exact. Fis. Natur. Madrid, V79, P53
[7] [Anonymous], 2015, Advanced Fractional Differential and Integral Equations
[8] [Anonymous], 1978, ANN MAT PUR APPL
[9] Banas J., 1980, LECT NOTES PURE APPL
[10] Benchohra M., 2008, Communications in Applied Analysis, V12, P419

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