Fractional q-Difference Inclusions in Banach Spaces

被引：5

作者：

Alqahtani, Badr ^{[1
]}

Abbas, Said ^{[2
]}

Benchohra, Mouffak ^{[1
,3
]}

Alzaid, Sara Salem ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

[2] Tahar Moulay Univ Saida, Dept Math, POB 138, En Nasr 20000, Saida, Algeria

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

来源：

MATHEMATICS | 2020年 / 8卷 / 01期

关键词：

fractional q-difference inclusion; measure of noncompactness; solution; fixed point; INTEGRALS;

D O I：

10.3390/math8010091

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a class of Caputo fractional q-difference inclusions in Banach spaces. We obtain some existence results by using the set-valued analysis, the measure of noncompactness, and the fixed point theory (Darbo and Monch's fixed point theorems). Finally we give an illustrative example in the last section. We initiate the study of fractional q-difference inclusions on infinite dimensional Banach spaces.

引用

页数：12

共 41 条

[1]

Abbas S, 2018, DEGRUYTER SER NONLIN, V26, P1, DOI 10.1515/9783110553819

[2]

Abbas S., 2019, MATH MORAVICA, V23, P107, DOI [10.5937/MatMor1901107A, DOI 10.5937/MATMOR1901107A]

[3]

Abbas S., 2014, ADV FRACTIONAL DIFFE

[4]

Abbas S., 2012, TOPICS FRACTIONAL DI

[5] Existence and Ulam stability for implicit fractional q-difference equations [J].

Abbas, Said ;

Benchohra, Mouffak ;

Laledj, Nadjet ;

Zhou, Yong .

ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)

[6] COUPLED SYSTEMS OF HILFER FRACTIONAL DIFFERENTIAL INCLUSIONS IN BANACH SPACES [J].

Abbas, Said ;

Benchohra, Mouffak ;

Graef, John R. .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (06) :2479-2493

[7] On Riemann-Liouville fractional q-difference equations and their application to retarded logistic type model [J].

Abdeljawad, Thabet ;

Alzabut, Jehad .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (18) :8953-8962

[8] On the linear ordinary q-difference equation [J].

Adams, CR .

ANNALS OF MATHEMATICS, 1928, 30 :195-205

[9] CERTAIN FRACTIONAL Q-INTEGRALS AND Q-DERIVATIVES [J].

AGARWAL, RP .

PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1969, 66 :365-&

[10]

Ahmad B., 2018, DYN CONTIN DISC IMPU, V25, P125

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