Impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces

被引：57

作者：

Lazreg, Jamal Eddine ^{[4
]}

Abbas, Said ^{[5
]}

Benchohra, Mouffak ^{[4
]}

Karapinar, Erdal ^{[1
,2
,3
]}

机构：

[1] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam

[2] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

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

[5] Univ Saida Dr Moulay Tahar, Dept Math, POB 138, Saida 20000, Algeria

来源：

OPEN MATHEMATICS | 2021年 / 19卷 / 01期

关键词：

fractional differential equation; Caputo-Fabrizio integral of fractional order; Caputo-Fabrizio fractional derivative; instantaneous impulse; b-metric space; alpha-phi-Geraghty contraction; fixed point; POINT;

D O I：

10.1515/math-2021-0040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with some impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces. We make use of alpha-phi-Geraghty-type contraction. An illustrative example is the subject of the last section.

引用

页码：363 / 372

页数：10

共 38 条

[1] Abbas S, 2018, DEGRUYTER SER NONLIN, V26, P298, DOI 10.1515/9783110553819-010
[2] Abbas S., 2019, DYNAM CONT DIS SER A, V26, P89
[3] Abbas S, 2015, ADV FRACTIONAL DIFFE
[4] On the linear fuzzy model associated with Caputo-Fabrizio operator
Abdollahi, R.
Khastan, A.
Nieto, J. J.
Rodriguez-Lopez, R.
[J]. BOUNDARY VALUE PROBLEMS, 2018,
[5] A discussion on the existence of positive solutions of the boundary value problems via ψ-Hilfer fractional derivative on b-metric spaces
Afshari, Hojjat
Karapinar, Erdal
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[6] Further results on existence of positive solutions of generalized fractional boundary value problems
Afshari, Hojjat
Abdo, Mohammed S.
Alzabut, Jehad
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[7] On generalized α - ψ-Geraghty contractions on b-metric spaces
Afshari, Hojjat
Aydi, Hassen
Karapinar, Erdal
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (01) : 9 - 21
[8] Afshari Hojjat, 2016, East Asian Mathematical Journal, V32, P319, DOI 10.7858/eamj.2016.024
[9] [Anonymous], 2012, TOPICS FRACTIONAL DI, DOI DOI 10.1007/978-1-4614-4036-9
[10] [Anonymous], 2014, TOPICS FIXED POINT T

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