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Browsing by Author "Imran, Atika"

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    Citation Count: 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.
    Application of some special operators on the analysis of a new generalized fractional Navier problem in the context of q-calculus
    (2021) Etemad, Sina; Ntouyas, Sotiris K.; Imran, Atika; Hussain, Azhar; Baleanu, Dumitru; Rezapour, Shahram; 56389
    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.