| Autor: |
Sina Etemad, Sotiris K. Ntouyas, Atika Imran, Azhar Hussain, Dumitru Baleanu, Shahram Rezapour |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-25 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
1687-1847 |
| DOI: |
10.1186/s13662-021-03558-8 |
| Popis: |
Abstract The key objective of this study is determining several existence criteria for the sequential generalized fractional models of an elastic beam, fourth-order Navier equation in the context of quantum calculus (q-calculus). The required way to accomplish the desired goal is that we first explore an integral equation of fractional order w.r.t. q-RL-integrals. Then, for the existence of solutions, we utilize some fixed point and endpoint conditions with the aid of some new special operators belonging to operator subclasses, orbital α-admissible and α-ψ-contractive operators and multivalued operators involving approximate endpoint criteria, which are constructed by using aforementioned integral equation. Furthermore, we design two examples to numerically analyze our results. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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