Nonlocal impulsive differential equations and inclusions involving Atangana-Baleanu fractional derivative in infinite dimensional spaces

The aim of this paper is to derive conditions under which the solution set of a non-local impulsive differential inclusions involving Atangana-Baleanu fractional derivative is a nonempty compact set in an infinite dimensional Banach spaces. Existence results for solutions in the presence of instanta...

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Published in:AIMS mathematics Vol. 8; no. 5; pp. 11752 - 11780
Main Authors: Nuwairan, Muneerah Al, Ibrahim, Ahmed Gamal
Format: Journal Article
Language:English
Published: AIMS Press 01.01.2023
Subjects:
atangana-baleanu fractional derivative
fractional differential inclusions
instantaneous and noninstantaneous impulses
measure of noncompactness
ISSN:2473-6988, 2473-6988
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Abstract The aim of this paper is to derive conditions under which the solution set of a non-local impulsive differential inclusions involving Atangana-Baleanu fractional derivative is a nonempty compact set in an infinite dimensional Banach spaces. Existence results for solutions in the presence of instantaneous or non-instantaneous impulsive effect are given. We considered the case where the right hand side is either a single valued function, or a multifunction. This generalizes recent results to the case when there are impulses, the right hand side is a multifunction, and where the dimension of the space is infinite. Examples are given to illustrate the effectiveness of the established results.
AbstractList The aim of this paper is to derive conditions under which the solution set of a non-local impulsive differential inclusions involving Atangana-Baleanu fractional derivative is a nonempty compact set in an infinite dimensional Banach spaces. Existence results for solutions in the presence of instantaneous or non-instantaneous impulsive effect are given. We considered the case where the right hand side is either a single valued function, or a multifunction. This generalizes recent results to the case when there are impulses, the right hand side is a multifunction, and where the dimension of the space is infinite. Examples are given to illustrate the effectiveness of the established results.
Author Ibrahim, Ahmed Gamal
Nuwairan, Muneerah Al
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  givenname: Ahmed Gamal
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Cites_doi 10.1515/ijnsns-2019-0179
10.12785/pfda/010201
10.1016/j.physa.2019.123516
10.1155/9789775945501
10.2118/104009-PA
10.1186/s13660-017-1400-5
10.1016/j.jfranklin.2017.02.002
10.1515/jmbm-2017-0012
10.1142/2574
10.1142/8072
10.1073/pnas.90.24.11698
10.1155/2021/5675789
10.1186/s13662-020-03196-6
10.1016/j.chaos.2018.10.006
10.1515/9783110870893
10.2298/TSCI160111018A
10.1186/s13662-016-0949-5
10.30495/JME.SI.2021.2128
10.1016/j.jmaa.2006.05.061
10.1007/BF02783044
10.3934/math.2022101
10.1007/978-3-319-66384-5
10.1016/S0362-546X(03)00041-5
10.1007/978-3-642-14574-2
10.1186/s13662-021-03551-1
10.1016/j.aej.2020.02.033
10.1515/ms-2017-0207
10.3390/math10142420
10.22436/jnsa.010.03.20
10.1115/1.3167616
10.1006/jmaa.1993.1373
10.1016/j.csfx.2019.100013
10.1007/s12215-021-00622-w
10.1007/978-3-319-67944-0
10.1155/2022/1812445
10.1007/s40840-018-0665-2
10.1002/mma.6638
10.1002/rnc.5273
10.1088/978-0-7503-1704-7ch2
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References key-10.3934/math.2023595-20
key-10.3934/math.2023595-42
key-10.3934/math.2023595-21
key-10.3934/math.2023595-43
key-10.3934/math.2023595-22
key-10.3934/math.2023595-44
key-10.3934/math.2023595-23
key-10.3934/math.2023595-45
key-10.3934/math.2023595-24
key-10.3934/math.2023595-46
key-10.3934/math.2023595-25
key-10.3934/math.2023595-47
key-10.3934/math.2023595-26
key-10.3934/math.2023595-48
key-10.3934/math.2023595-27
key-10.3934/math.2023595-40
key-10.3934/math.2023595-41
key-10.3934/math.2023595-17
key-10.3934/math.2023595-39
key-10.3934/math.2023595-18
key-10.3934/math.2023595-19
key-10.3934/math.2023595-31
key-10.3934/math.2023595-10
key-10.3934/math.2023595-32
key-10.3934/math.2023595-11
key-10.3934/math.2023595-33
key-10.3934/math.2023595-12
key-10.3934/math.2023595-34
key-10.3934/math.2023595-13
key-10.3934/math.2023595-35
key-10.3934/math.2023595-14
key-10.3934/math.2023595-36
key-10.3934/math.2023595-15
key-10.3934/math.2023595-37
key-10.3934/math.2023595-16
key-10.3934/math.2023595-38
key-10.3934/math.2023595-30
key-10.3934/math.2023595-4
key-10.3934/math.2023595-5
key-10.3934/math.2023595-2
key-10.3934/math.2023595-3
key-10.3934/math.2023595-8
key-10.3934/math.2023595-9
key-10.3934/math.2023595-6
key-10.3934/math.2023595-7
key-10.3934/math.2023595-28
key-10.3934/math.2023595-29
key-10.3934/math.2023595-1
References_xml – ident: key-10.3934/math.2023595-19
– ident: key-10.3934/math.2023595-46
– ident: key-10.3934/math.2023595-8
  doi: 10.1515/ijnsns-2019-0179
– ident: key-10.3934/math.2023595-25
  doi: 10.12785/pfda/010201
– ident: key-10.3934/math.2023595-17
– ident: key-10.3934/math.2023595-28
  doi: 10.1016/j.physa.2019.123516
– ident: key-10.3934/math.2023595-3
  doi: 10.1155/9789775945501
– ident: key-10.3934/math.2023595-23
– ident: key-10.3934/math.2023595-18
  doi: 10.2118/104009-PA
– ident: key-10.3934/math.2023595-34
  doi: 10.1186/s13660-017-1400-5
– ident: key-10.3934/math.2023595-9
  doi: 10.1016/j.jfranklin.2017.02.002
– ident: key-10.3934/math.2023595-16
  doi: 10.1515/jmbm-2017-0012
– ident: key-10.3934/math.2023595-7
– ident: key-10.3934/math.2023595-15
  doi: 10.1142/2574
– ident: key-10.3934/math.2023595-22
  doi: 10.1142/8072
– ident: key-10.3934/math.2023595-1
  doi: 10.1073/pnas.90.24.11698
– ident: key-10.3934/math.2023595-38
  doi: 10.1155/2021/5675789
– ident: key-10.3934/math.2023595-32
  doi: 10.1186/s13662-020-03196-6
– ident: key-10.3934/math.2023595-33
  doi: 10.1016/j.chaos.2018.10.006
– ident: key-10.3934/math.2023595-47
  doi: 10.1515/9783110870893
– ident: key-10.3934/math.2023595-26
  doi: 10.2298/TSCI160111018A
– ident: key-10.3934/math.2023595-31
  doi: 10.1186/s13662-016-0949-5
– ident: key-10.3934/math.2023595-36
  doi: 10.30495/JME.SI.2021.2128
– ident: key-10.3934/math.2023595-45
  doi: 10.1016/j.jmaa.2006.05.061
– ident: key-10.3934/math.2023595-44
  doi: 10.1007/BF02783044
– ident: key-10.3934/math.2023595-10
  doi: 10.3934/math.2022101
– ident: key-10.3934/math.2023595-5
  doi: 10.1007/978-3-319-66384-5
– ident: key-10.3934/math.2023595-2
  doi: 10.1016/S0362-546X(03)00041-5
– ident: key-10.3934/math.2023595-24
  doi: 10.1007/978-3-642-14574-2
– ident: key-10.3934/math.2023595-35
  doi: 10.1186/s13662-021-03551-1
– ident: key-10.3934/math.2023595-43
– ident: key-10.3934/math.2023595-20
– ident: key-10.3934/math.2023595-29
  doi: 10.1016/j.aej.2020.02.033
– ident: key-10.3934/math.2023595-41
– ident: key-10.3934/math.2023595-13
  doi: 10.1515/ms-2017-0207
– ident: key-10.3934/math.2023595-12
  doi: 10.3390/math10142420
– ident: key-10.3934/math.2023595-30
  doi: 10.22436/jnsa.010.03.20
– ident: key-10.3934/math.2023595-21
  doi: 10.1115/1.3167616
– ident: key-10.3934/math.2023595-42
  doi: 10.1006/jmaa.1993.1373
– ident: key-10.3934/math.2023595-37
  doi: 10.1016/j.csfx.2019.100013
– ident: key-10.3934/math.2023595-40
  doi: 10.1007/s12215-021-00622-w
– ident: key-10.3934/math.2023595-11
  doi: 10.1007/978-3-319-67944-0
– ident: key-10.3934/math.2023595-39
  doi: 10.1155/2022/1812445
– ident: key-10.3934/math.2023595-6
  doi: 10.1007/s40840-018-0665-2
– ident: key-10.3934/math.2023595-14
– ident: key-10.3934/math.2023595-27
  doi: 10.1002/mma.6638
– ident: key-10.3934/math.2023595-48
  doi: 10.1002/rnc.5273
– ident: key-10.3934/math.2023595-4
  doi: 10.1088/978-0-7503-1704-7ch2
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Snippet The aim of this paper is to derive conditions under which the solution set of a non-local impulsive differential inclusions involving Atangana-Baleanu...
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SubjectTerms atangana-baleanu fractional derivative
fractional differential inclusions
instantaneous and noninstantaneous impulses
measure of noncompactness
Title Nonlocal impulsive differential equations and inclusions involving Atangana-Baleanu fractional derivative in infinite dimensional spaces
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