Scopus İndeksli Yayınlar Koleksiyonu

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

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Subject: search.filters.subject.Fixed Point TheoremWoS Q: search.filters.wosQuartile.Q3

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  • Article
    Α-Ψ Contracting Perimeters of Triangles
    (Yokohama Publ, 2025) Shahi, Priya; Bilazeroglu, Seyma; Yalcin, Ceylan
    This work presents an advanced development of the newly established idea of "contracting perimeters of triangles". Our current strategy, constructed with the help of functions alpha and Psi, both covers existing research and yields new results. The "alpha-Psi-mapping contracting perimeters of triangles" concept is defined in this study. The differences between this concept and the contracting perimeters of triangles is illustrated with examples. Fixed point theorems are obtained for this type of mappings under some conditions.
  • Article
    Citation - WoS: 2
    A Fixed Point Theorem for Ciric Type Contraction on Interpolative Metric Spaces
    (Yokohama Publ, 2024) Bilazeroglu, Seyma; Yalcin, Ceylan
    The purpose of this paper is is aimed at establishing a fixed point result in the framework of interpolative metric spaces, which has just been designated as a new research topic to prevent congestion in fixed point theory.
  • Article
    Citation - WoS: 108
    Citation - Scopus: 122
    A New Analysis of Fractional Fish Farm Model Associated With Mittag-Leffler Kernel
    (World Scientific Publ Co Pte Ltd, 2020) Kumar, Devendra; Baleanu, Dumitru; Singh, Jagdev
    In this paper, we analyze the dynamical behavior of fish farm model related to Atangana-Baleanu derivative of arbitrary order. The model is constituted with the group of non-linear differential equations having nutrients, fish and mussel. We have included discrete kind gestational delay of fish. The solution of fish farm model is determined by employing homotopy analysis transforms method (HATM). Existence of and uniqueness of solution are studied through Picard-Lindelof approach. The influence of order of new non-integer order derivative on nutrients, fish and mussel is discussed. The complete study reveals that the outer food supplies manage the behavior of the model. Moreover, to show the outcomes of the study, some numerical results are demonstrated through graphs.
  • Article
    Citation - WoS: 102
    Citation - Scopus: 120
    A Fractional Model for the Dynamics of Tuberculosis Infection Using Caputo-Fabrizio Derivative
    (Amer inst Mathematical Sciences-aims, 2020) Khan, Muhammad Altaf; Farooq, Muhammad; Hammouch, Zakia; Baleanu, Dumitru; Ullah, Saif
    In the present paper, we study the dynamics of tuberculosis model using fractional order derivative in Caputo-Fabrizio sense. The number of confirmed notified cases reported by national TB program Khyber Pakhtunkhwa, Pakistan, from the year 2002 to 2017 are used for our analysis and estimation of the model biological parameters. The threshold quantity R-0 and equilibria of the model are determined. We prove the existence of the solution via fixed-point theory and further examine the uniqueness of the model variables. An iterative solution of the model is computed using fractional Adams-Bashforth technique. Finally, the numerical results are presented by using the estimated values of model parameters to justify the significance of the arbitrary fractional order derivative. The graphical results show that the fractional model of TB in Caputo-Fabrizio sense gives useful information about the complexity of the model and one can get reliable information about the model at any integer or non-integer case.