Scopus İndeksli Yayınlar Koleksiyonu

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

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Access Right: Closed AccessPublisher: search.filters.publisher.Springer-verlag Italia Srl

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Now showing 1 - 6 of 6
  • Article
    Citation - WoS: 22
    Citation - Scopus: 30
    Global Stability Results for Volterra-Hadamard Random Partial Fractional Integral Equations
    (Springer-verlag Italia Srl, 2023) Abbas, Said; Benchohra, Mouffak; Karapinar, Erdal; Salim, Abdelkrim
    This paper investigates the existence and stability of random solutions of a class of Hadamard fractional order functional partial integral equations with random effects in Banach spaces.
  • Article
    Citation - WoS: 144
    Citation - Scopus: 156
    Uniqueness of Solution for Higher-Order Nonlinear Fractional Differential Equations With Multi-Point and Integral Boundary Conditions
    (Springer-verlag Italia Srl, 2021) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Sevinik-Adiguzel, Rezan
    This study is devoted to the development of alternative conditions for existence and uniqueness of nonlinear fractional differential equations of higher-order with integral and multi-point boundary conditions. It uses a novel approach of employing a fixed point theorem based on contractive iterates of the integral operator for the corresponding fixed point problem. We start with developing an existence-uniqueness theorem for self-mappings with contractive iterate in a b-metric-like space. Then, we obtain the unique solvability of the problem under suitable conditions by utilizing an appropriate b-metric-like space.
  • 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: 15
    Citation - Scopus: 19
    Gruss-Type Integrals Inequalities Via Generalized Proportional Fractional Operators
    (Springer-verlag Italia Srl, 2020) Jarad, Fahd; Noor, Muhammad Aslam; Rashid, Saima
    In the article, we deal with the generalized proportional fractional integral, establish several kinds of inequalities such as Gruss-type and certain other inequalities by use of generalized proportional fractional integral. Moreover, several special cases are discussed. Also, we derive certain particular results by utilizing the connection between generalized proportional fractional integral and Riemann-Liouville integral. Furthermore, an illustrative example is presented to support our outcomes.
  • Article
    Citation - WoS: 52
    Citation - Scopus: 62
    F-Contraction Mappings on Metric-Like Spaces in Connection With Integral Equations on Time Scales
    (Springer-verlag Italia Srl, 2020) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Agarwal, Ravi P.
    In this paper we investigate the existence and uniqueness of fixed points of certain (phi,F)-type contractions in the frame of metric-like spaces. As an application of the theorem we consider the existence and uniqueness of solutions of nonlinear Fredholm integral equations of the second kind on time scales. We also present a particular example which demonstrates our theoretical results.
  • 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.