WoS İndeksli Yayınlar Koleksiyonu

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

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Publisher: search.filters.publisher.Vilnius Univ, inst Mathematics & informatics

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Now showing 1 - 6 of 6
  • Article
    Citation - WoS: 2
    Citation - Scopus: 3
    Abstract Random Differential Equations With State-Dependent Delay Using Measures of Noncompactness
    (Vilnius Univ, inst Mathematics & informatics, 2024) Heris, Amel; Bouteffal, Zohra; Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal
    This paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces associated with the concept of measures of noncompactness. An application related to partial random differential equations with state-dependent delay is presented.
  • Article
    Transmission Dynamic and Backward Bifurcation of Middle Eastern Respiratory Syndrome Coronavirus
    (Vilnius Univ, inst Mathematics & informatics, 2022) Zaman, Gul; Jarad, Fahd; Fatima, Bibi
    Middle East respiratory syndrome coronavirus (MERS-CoV) remains an emerging disease threat with regular human cases on the Arabian Peninsula driven by recurring camels to human transmission events. In this paper, we present a new deterministic model for the transmission dynamics of (MERS-CoV). In order to do this, we develop a model formulation and analyze the stability of the proposed model. The stability conditions are obtained in term of R-0, we find those conditions for which the model become stable. We discuss basic reproductive number R-0 along with sensitivity analysis to show the impact of every epidemic parameter. We show that the proposed model exhibits the phenomena of backward bifurcation. Finally, we show the numerical simulation of our proposed model for supporting our analytical work. The aim of this work is to show via mathematical model the transmission of MERS-CoV between humans and camels, which are suspected to be the primary source of infection.
  • Article
    Citation - WoS: 43
    Citation - Scopus: 37
    On Fractional-Order Symmetric Oscillator With Offset-Boosting Control
    (Vilnius Univ, inst Mathematics & informatics, 2022) Xu, Changjin; Rahman, Mati ur; Baleanu, Dumitru
    This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator with a fractional Caputo operator. The dynamical properties of the considered model such as equilibria and its stability are also presented. The existence results and uniqueness of solutions for the suggested model are analyzed using the tools from fixed point theory. The symmetric oscillator is analyzed numerically and graphically with various fractional orders. It is observed that the fractional operator has a significant impact on the evolution of the oscillator dynamics showing that the system has a limit-cycle attractor. Offset-boosting control phenomena in the system are also studied with different orders and parameters.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 7
    Finite-Time Stability Results for Fractional Damped Dynamical Systems With Time Delays
    (Vilnius Univ, inst Mathematics & informatics, 2022) Brindha, Nallasamy; Baleanu, Dumitru; Arthi, Ganesan
    This paper is explored with the stability procedure for linear nonautonomous multiterm fractional damped systems involving time delay. Finite-time stability (FTS) criteria have been developed based on the extended form of Gronwall inequality. Also, the result is deduced to a linear autonomous case. Two examples of applications of stability analysis in numerical formulation are described showing the expertise of theoretical prediction.
  • Article
    Citation - WoS: 12
    Citation - Scopus: 13
    Existence of Fixed Point and Best Proximity Point of P-Cyclic Orbital Φ-Contraction Map
    (Vilnius Univ, inst Mathematics & informatics, 2022) Karpagam, Saravanan; Karapinar, Erdal; Magadevan, Prabavathy
    In this manuscript, p-cyclic orbital phi-contraction map over closed, nonempty, convex subsets of a uniformly convex Banach space X possesses a unique best proximity point if the auxiliary function phi is strictly increasing. The given result unifies and extend some existing results in the related literature. We provide an illustrative example to indicate the validity of the observed result.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 8
    A Study of Common Fixed Points That Belong To Zeros of a Certain Given Function With Applications
    (Vilnius Univ, inst Mathematics & informatics, 2021) Imdad, Mohammad; Karapinar, Erdal; Saleh, Hayel N.
    In this paper, we establish some point of phi-coincidence and common phi-fixed point results for two self-mappings defined on a metric space via extended C-G-simulation functions. By giving an example we show that the obtained results are a proper extension of several well-known results in the existing literature. As applications of our results, we deduce some results in partial metric spaces besides proving an existence and uniqueness result on the solution of system of integral equations.