Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Baleanu, DumitruPublisher: search.filters.publisher.Springer-verlag Italia Srl

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Now showing 1 - 3 of 3
  • 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.
  • Article
    Citation - WoS: 23
    Citation - Scopus: 25
    Inequalities for N-Class of Functions Using the Saigo Fractional Integral Operator
    (Springer-verlag Italia Srl, 2019) Tunc, Cemil; Baleanu, Dumitru; Khan, Aziz; Alkhazzan, Abdulwasea; Khan, Hasib
    The role of fractional integral operators can be found as one of the best ways to generalize the classical inequalities. In this paper, we use the Saigo fractional integral operator to produce some inequalities for a class of n-decreasing positive functions. The results are more general than the available classical results in the literature.
  • Article
    Citation - WoS: 14
    Citation - Scopus: 12
    Stochastic Fractional Perturbed Control Systems With Fractional Brownian Motion and Sobolev Stochastic Non Local Conditions
    (Springer-verlag Italia Srl, 2018) Fateh, Ellaggoune; Baleanu, Dumitru; Mourad, Kerboua
    This paper investigates the approximate controllability for Sobolev type stochastic perturbed control systems of fractional order with fractional Brownian motion and Sobolev fractional stochastic nonlocal conditions in a Hilbert space, A new set of sufficient conditions are established by using semigroup theory, fractional calculus, stochastic integrals for fractional Brownian motion, Banach's fixed point theorem. The results are obtained under the assumption that the associated linear system is approximately controllable. Finally, an example is also given to illustrate the obtained theory.