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

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

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.

Original language	English
Article number	84
Journal	Journal of Inequalities and Applications
Volume	2022
Issue number	1
DOIs	https://doi.org/10.1186/s13660-022-02819-8
Publication status	Published - 2022

Bibliographical note

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

Funding

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.

Funders	Funder number
Azarbaijan Shahid Madani University
Bu-Ali Sina University
Prince Sultan University

Keywords

Caputo–Hadamard derivative
End point
Fixed point
Jerk equation
Multi-function
ϕ-ψ-contraction

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10.1186/s13660-022-02819-8

Cite this

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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.",

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AU - Iqbal, Iram

AU - Samei, Mohammad Esmael

AU - Rezapour, Shahram

AU - Alzabut, Jehad

AU - Sudsutad, Weerawat

AU - Goksel, Izzet

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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.

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KW - Fixed point

KW - Jerk equation

KW - Multi-function

KW - ϕ-ψ-contraction

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VL - 2022

JO - Journal of Inequalities and Applications

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ER -

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

Abstract

Bibliographical note

Funding

Keywords

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