Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system

Sina Etemad; Iram Iqbal; Mohammad Esmael Samei; Shahram Rezapour; Jehad Alzabut; Weerawat Sudsutad; Izzet Goksel

doi:10.1186/s13660-022-02819-8

Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system

Sina Etemad, Iram Iqbal, Mohammad Esmael Samei, Shahram Rezapour^*, Jehad Alzabut^*, Weerawat Sudsutad, Izzet Goksel

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

13 Atıf (Scopus)

Özet

Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities between multi-functions and with the help of special contractions and admissible maps, we investigate the existence criteria. Fixed points and end points are key roles in this manuscript, and the approximate property for end points helps us to derive the desired result for existence theory. An example is prepared to demonstrate the consistency and correctness of analytical findings.

Orijinal dil	İngilizce
Makale numarası	84
Dergi	Journal of Inequalities and Applications
Hacim	2022
Basın numarası	1
DOI'lar	https://doi.org/10.1186/s13660-022-02819-8
Yayın durumu	Yayınlandı - 2022

Bibliyografik not

Publisher Copyright:
© 2022, The Author(s).

Finansman

J. Alzabut is thankful to Prince Sultan University and OSTİM Technical University for their endless support throughout this work. The first and fourth authors were supported by Azarbaijan Shahid Madani University. The third author was supported by Bu-Ali Sina University. J. Alzabut is thankful to Prince Sultan University and OSTİM Technical University for their endless support throughout this work. The first and fourth authors were supported by Azarbaijan Shahid Madani University. The third author was supported by Bu-Ali Sina University.

Finansörler	Finansör numarası
Azarbaijan Shahid Madani University
Bu-Ali Sina University
Prince Sultan University

Belgeye Erişim

10.1186/s13660-022-02819-8

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system",

abstract = "Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities between multi-functions and with the help of special contractions and admissible maps, we investigate the existence criteria. Fixed points and end points are key roles in this manuscript, and the approximate property for end points helps us to derive the desired result for existence theory. An example is prepared to demonstrate the consistency and correctness of analytical findings.",

keywords = "Caputo–Hadamard derivative, End point, Fixed point, Jerk equation, Multi-function, ϕ-ψ-contraction",

author = "Sina Etemad and Iram Iqbal and Samei, {Mohammad Esmael} and Shahram Rezapour and Jehad Alzabut and Weerawat Sudsutad and Izzet Goksel",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

doi = "10.1186/s13660-022-02819-8",

language = "English",

volume = "2022",

journal = "Journal of Inequalities and Applications",

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TY - JOUR

T1 - Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system

AU - Etemad, Sina

AU - Iqbal, Iram

AU - Samei, Mohammad Esmael

AU - Rezapour, Shahram

AU - Alzabut, Jehad

AU - Sudsutad, Weerawat

AU - Goksel, Izzet

PY - 2022

Y1 - 2022

N2 - Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities between multi-functions and with the help of special contractions and admissible maps, we investigate the existence criteria. Fixed points and end points are key roles in this manuscript, and the approximate property for end points helps us to derive the desired result for existence theory. An example is prepared to demonstrate the consistency and correctness of analytical findings.

AB - Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities between multi-functions and with the help of special contractions and admissible maps, we investigate the existence criteria. Fixed points and end points are key roles in this manuscript, and the approximate property for end points helps us to derive the desired result for existence theory. An example is prepared to demonstrate the consistency and correctness of analytical findings.

KW - Caputo–Hadamard derivative

KW - End point

KW - Fixed point

KW - Jerk equation

KW - Multi-function

KW - ϕ-ψ-contraction

UR - http://www.scopus.com/inward/record.url?scp=85132286684&partnerID=8YFLogxK

U2 - 10.1186/s13660-022-02819-8

DO - 10.1186/s13660-022-02819-8

M3 - Article

AN - SCOPUS:85132286684

SN - 1025-5834

VL - 2022

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 84

ER -

Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap