WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

Browse

Filters

2017 - 201912020 - 20253

Settings

COAR Access Rights: search.filters.coarAccessRights.metadata only accessPublisher: search.filters.publisher.Univ Nis, Fac Sci Math

Search Results

Now showing 1 - 4 of 4
  • Article
    A Generalization of Fixed Point Result of Nonlinear Cirić Type Contraction on Suprametric Spaces
    (Univ Nis, Fac Sci Math, 2025) Yalcin, Ceylan; Bilazeroglu, Seyma
    In this study, the nonlinear technique: (psi,phi)-weak contraction, created by Dutta and Choudhury [6], is used to make the Ciric type contraction nonlinear. Moreover, it is demonstrated that there is unique fixed point in suprametric space for this nonlinear Ciric type contraction.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On the Quantitative Weighted Generalization of Jafari Transform
    (Univ Nis, Fac Sci Math, 2025) Yazici, Serdal; Cekim, Bayram; Jarad, Fahd; Jafari, Hossein
    In this paper, a quantitative weighted transform based on the Jafari transform is proposed, and the mathematical foundations of this new transform are investigated. In the first section, some information about Jafari transform and some mathematical tools are reviewed. In the second section, the quantitative weighted Jafari transform is introduced, its existence guaranteed through a theorem, and its fundamental properties are examined. Additionally, transforms of the fractional derivative and fractional integral of a function with respect to a function h and a w-weight are obtained. In the third section, the theoretical findings are applied to solve classical and fractional initial value problems based on a function h and w-weight. In the last section, the results are discussed.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 2
    Some Results for Two Classes of Two-Point Local Fractional Proportional Boundary Value Problems
    (Univ Nis, Fac Sci Math, 2023) Jarad, Fahd; Laadjal, Zaid; Abdeljawad, Thabet
    In this paper, we consider two classes of boundary value problems in the frame of local proportional fractional derivatives. For both of these classes, we obtain the associated Green's functions and discuss their properties. Using these properties, we go about the uniqueness of the solutions. In addition, we establish Lyapunov-type and Hartman-Wintner-type inequalities and build sharp estimated for the unique solutions of the considered equations.
  • Article
    Citation - WoS: 63
    Citation - Scopus: 74
    On Generalized Fractional Operators and a Gronwall Type Inequality With Applications
    (Univ Nis, Fac Sci Math, 2017) Abdeljawad, Thabet; Adjabi, Yassine; Jarad, Fahd
    In this paper, we obtain the Gronwall type inequality for generalized fractional operators unifying Riemann-Liouville and Hadamard fractional operators. We apply this inequality to the dependence of the solution of differential equations, involving generalized fractional derivatives, on both the order and the initial conditions. More properties for the generalized fractional operators are formulated and the solutions of initial value problems in certain new weighted spaces of functions are established as well.