Application of Some Special Operators on the Analysis of a New Generalized Fractional Navier Problem in the Context of Q-Calculus
| dc.contributor.author | Ntouyas, Sotiris K. | |
| dc.contributor.author | Imran, Atika | |
| dc.contributor.author | Hussain, Azhar | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Rezapour, Shahram | |
| dc.contributor.author | Etemad, Sina | |
| dc.date.accessioned | 2022-03-22T10:42:16Z | |
| dc.date.accessioned | 2025-09-18T14:10:05Z | |
| dc.date.available | 2022-03-22T10:42:16Z | |
| dc.date.available | 2025-09-18T14:10:05Z | |
| dc.date.issued | 2021 | |
| dc.description | Rezapour, Shahram/0000-0003-3463-2607; Etemad, Sina/0000-0002-1574-1800 | en_US |
| dc.description.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 alpha-admissible and alpha-psi-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. | en_US |
| dc.description.sponsorship | Azarbaijan Shahid Madani University | en_US |
| dc.description.sponsorship | The first and sixth authors were supported by Azarbaijan Shahid Madani University. The authors express their gratitude to unknown referees for their helpful suggestions, which improved the final version of this paper. | en_US |
| dc.identifier.citation | Etemad, Sina...et al. (2021). "Application of some special operators on the analysis of a new generalized fractional Navier problem in the context of q-calculus", Advances in Difference Equations, Vol. 2021, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03558-8 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85114226229 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03558-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13563 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Q-Navier Problem | en_US |
| dc.subject | Elastic Beam | en_US |
| dc.subject | Endpoint | en_US |
| dc.subject | Fixed Point | en_US |
| dc.subject | Special Operators | en_US |
| dc.title | Application of Some Special Operators on the Analysis of a New Generalized Fractional Navier Problem in the Context of Q-Calculus | en_US |
| dc.title | Application of some special operators on the analysis of a new generalized fractional Navier problem in the context of q-calculus | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Rezapour, Shahram/0000-0003-3463-2607 | |
| gdc.author.id | Etemad, Sina/0000-0002-1574-1800 | |
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| gdc.author.wosid | Etemad, Sina/Aav-8100-2021 | |
| gdc.author.wosid | Hussain, Azhar/K-8506-2019 | |
| gdc.author.wosid | Ntouyas, Sotiris/Y-3903-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Rezapour, Shahram/N-4883-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Etemad, Sina; Rezapour, Shahram] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran; [Ntouyas, Sotiris K.] Univ Ioannina, Dept Math, Ioannina 45110, Greece; [Ntouyas, Sotiris K.] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia; [Imran, Atika; Hussain, Azhar] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ogretmenler Cad 14, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Rezapour, Shahram] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
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