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

Sina Etemad¹  Shahram Rezapour¹  Dumitru Baleanu²  Sotiris K. Ntouyas³  Atika Imran⁴  Azhar Hussain⁴ 

[1] Department of Mathematics, Azarbaijan Shahid Madani University;Department of Mathematics, Cankaya University;Department of Mathematics, University of Ioannina;Department of Mathematics, University of Sargodha;

关键词: q-Navier problem;    Elastic beam;    Endpoint;    Fixed point;    Special operators;   

DOI  :  10.1186/s13662-021-03558-8

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown