On a fractional cantilever beam model in the q-difference inclusion settings via special multi-valued operators

The fundamental goal of the study under consideration is to establish some of the existence criteria needed for a particular fractional inclusion model of cantilever beam in the setting of quantum calculus using new arguments of existence theory. In this way, we investigate a fractional integral equ...

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Bibliographic Details
Published in:Journal of inequalities and applications Vol. 2021; no. 1; pp. 1 - 20
Main Authors: Etemad, Sina, Hussain, Azhar, Imran, Atika, Alzabut, Jehad, Rezapour, Shahram, Selvam, A. George Maria
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 24.10.2021
Springer Nature B.V
SpringerOpen
Subjects:
(AEP)-property
Analysis
Applications of Mathematics
Boundary value problems
Cantilever beams
Fractional calculus
Inequalities
Integral equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Numerical analysis
Operators (mathematics)
Set-valued version inequality
α-admissible map
α-ψ-contraction
Ω-inequality
admissible map
(AEP)-property
Set-valued version inequality
35A23
contraction
Ω-inequality
39A60
-
34A60
34A08
ISSN:1029-242X, 1025-5834, 1029-242X
Online Access:Get full text
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Summary:The fundamental goal of the study under consideration is to establish some of the existence criteria needed for a particular fractional inclusion model of cantilever beam in the setting of quantum calculus using new arguments of existence theory. In this way, we investigate a fractional integral equation that corresponds to the aforementioned boundary value problem. In a more concrete sense, we design new multi-valued operators based on this integral equation, which belong to the certain subclasses of functions, called α -admissible and α - ψ -contractive multi-functions, in combination with the AEP-property. Also, we use some inequalities such as Ω-inequality and set-valued version inequalities. Moreover, we add a simulative example for a numerical analysis of our results obtained in this study.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-021-02708-6