Scopus İndeksli Yayınlar Koleksiyonu

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

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Scopus Q: search.filters.scopusQuartile.Q4Subject: search.filters.subject.Fractional Differential Equations

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  • Article
    Citation - Scopus: 4
    On Mild Solution of Abstract Neutral Fractional Order Impulsive Differential Equations With Infinite Delay
    (Eudoxus Press, LLC, 2018) Anguraj, A.; Baleanu, Dumitru; Kanjanadevi, S.; Baleanu, D.; Matematik
    We prove the existence and uniqueness of fractional neutral impulsive differential equations with infinite delay via contraction mapping principle and fixed point technique for condensing map. We use the resolvent operator technique for integral equations to make the mild solution of the problem more appropriate. © 2018 by Eudoxus Press, LLC. All rights reserved.
  • 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.