Scopus İndeksli Yayınlar Koleksiyonu

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Publisher: search.filters.publisher.Springer-verlag Italia SrlSubject: search.filters.subject.30C55

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  • Article
    Citation - WoS: 32
    Citation - Scopus: 37
    On Quantum Hybrid Fractional Conformable Differential and Integral Operators in a Complex Domain
    (Springer-verlag Italia Srl, 2021) Baleanu, Dumitru; Ibrahim, Rabha W.
    Newly, the hybrid fractional differential operator (HFDO) is presented and studied in Baleanu et al. (Mathematics 8.3:360, 2020). This work deals with the extension of HFDO to the complex domain and its generalization by using the quantum calculus. The outcome of the above conclusion is a q-HFDO, which will employ to introduce some classes of normalized analytic functions containing the well-known starlike and convex classes. Moreover, we utilize the quantum calculus to formulate the q-integral operator corresponding to q-HFDO. As a result, the upper solution is exemplified by utilizing the notion of subordination inequality.