WoS İndeksli Yayınlar Koleksiyonu

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

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Publisher: search.filters.publisher.Pergamon-elsevier Science LtdSubject: search.filters.subject.Fractional Derivatives

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 21
    Citation - Scopus: 22
    Dynamics and Numerical Investigations of a Fractional-Order Model of Toxoplasmosis in the Population of Human and Cats
    (Pergamon-elsevier Science Ltd, 2021) Ali, Nigar; Baleanu, Dumitru; Zafar, Zain Ul Abadin
    In this paper an arbitrary order model for Toxoplasmosis ailment in the humanoid and feline is verbalized and explored. The dynamics of this ailment is discovered using an epidemiology type paradigm. We have proposed the fractional order multistage differential transform method for the Toxoplasmosis model. It is employed to analyze and find the elucidation for the model, and the numerical simulations have been conducted in order to study the effectiveness of the technique. The suggested algorithm can be considered as a fractional extension of the well know method known as Multistage Differential Transform Method. The sensitivity analysis of the strictures of the specimen is discussed. The numeric imitations of the projected non-integer specimens are conceded out to illustrate different dynamics of the model, which depend on R-0. (C) 2021 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 198
    Citation - Scopus: 213
    A New Fractional Exothermic Reactions Model Having Constant Heat Source in Porous Media With Power, Exponential and Mittag-Leffler Laws
    (Pergamon-elsevier Science Ltd, 2019) Singh, Jagdev; Tanwar, Kumud; Baleanu, Dumitru; Kumar, Devendra
    The present article deals with the exothermic reactions model having constant heat source in the porous media with strong memory effects. The Caputo, Caputo-Fabrizio and Atangana-Baleanu fractional operators are used to induce memory effects in the mathematical modeling of exothermic reactions. The patterns of heat flow profiles are very essential for heat transfer in every kind of the thermal insulation. In the present investigation, we focus on the driving force problem due to the fact that temperature gradient is assumed. The mathematical equation of the problem is confined in a fractional energy balance equation (FEBE), which furnishes the temperature portrayal in conduction state having uniform heat source on steady state. The fractional Laplace decomposition technique is utilized to obtain the numerical solution of the corresponding FEBE describing the exothermic reactions. Some numerical results for the fractional exothermic reactions model are presented through graphs and tables. (C) 2019 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 41
    Citation - Scopus: 46
    Fractional Variational Principles With Delay Within Caputo Derivatives
    (Pergamon-elsevier Science Ltd, 2010) Jarad, Fahd; Abdeljawad (Maraaba), Thabet; Baleanu, Dumitru; Abdeljawad , Thabet
    In this paper we investigate the fractional variational principles within Caputo derivatives in the presence of delay derivatives. The corresponding Euler-Lagrange equations are obtained for the case of one dependent variable. A generalization to it dependent variables is obtained. Physical example is analyzed in detail.