Abstract
AbstractThe 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.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference62 articles.
1. Hilfer, R.: Applications of Fractional Calculus in Physics. World Scientific, Singapore (2000)
2. Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam (2006)
3. Miller, K.S., Ross, B.: An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley, New York (1993)
4. Sabetghadam, F., Masiha, H.P., Altun, I.: Fixed-point theorems for integral-type contractions on partial metric spaces. Ukr. Math. J. 68, 940–949 (2016). https://doi.org/10.1007/s11253-016-1267-5
5. Baleanu, D., Etemad, S., Mohammadi, H., Rezapour, S.: A novel modeling of boundary value problems on the glucose graph. Commun. Nonlinear Sci. Numer. Simul. 100, 105844 (2021). https://doi.org/10.1016/j.cnsns.2021.105844
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