Scopus İndeksli Yayınlar Koleksiyonu

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

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Subject: search.filters.subject.Fractional Differential EquationsWoS Q: search.filters.wosQuartile.Q3

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 65
    Citation - Scopus: 65
    Solutions of the Telegraph Equations Using a Fractional Calculus Approach
    (Editura Acad Romane, 2014) Gomez Aguilar, Jose Francisco; Baleanu, Dumitru; Baleanu, Dumitru; Matematik
    In this paper, the fractional differential equation for the transmission line without losses in terms of the fractional time derivatives of the Caputo type is considered. In order to keep the physical meaning of the governing parameters, new parameters a and a were introduced. These parameters characterize the existence of the fractional components in the system. A relation between these parameters is also reported. Fractional differential equations are examined with both temporal and spatial fractional derivatives. We show a few illustrative examples when the wave periodicity is broken in either temporal or spatial variables. Finally, we present the output of numerical simulations that were performed with both temporal and spatial fractional derivatives.
  • Article
    Citation - Scopus: 5
    Chaos Synchronization of the Fractional Rucklidge System Based on New Adomian Polynomials
    (L and H Scientific Publishing, LLC, 2017) Baleanu, D.; Huang, L.-L.; Wu, G.-C.
    The fractional Rucklidge system is a new kind of chaotic models which hold the feature of memory effects and can depict the long history interactions. A numerical formula is proposed by use of the fast Adomian polynomials. Chaotic behavior are discussed and the Poincare sections are given for various fractional cases. It's also applied in chaos synchronization of the fractional system. © 2017 L & H Scientific Publishing, LLC.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 11
    Study on Application of Hybrid Functions To Fractional Differential Equations
    (Springer international Publishing Ag, 2018) Baleanu, D.; Torkzadeh, L.; Nouri, K.
    In this study we propose an efficient technique for approximate solution of linear and nonlinear differential equations with fractional order. The operational matrices based upon block-pulse functions and Chebyshev polynomials of the second kind are used for this purpose. Also, we focus on the upper bound of error for performance of the our estimates. The numerical results confirm the convergence of the suggested method. Correspondingly, the obtained results of our method are compared with other approaches in terms of efficiency and accuracy.