Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Publisher: search.filters.publisher.WileySubject: search.filters.subject.Atangana-Baleanu Derivative

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  • Article
    Citation - WoS: 186
    Citation - Scopus: 211
    On the Analysis of Vibration Equation Involving a Fractional Derivative With Mittag-Leffler Law
    (Wiley, 2020) Singh, Jagdev; Baleanu, Dumitru; Kumar, Devendra
    The present article deals with a fractional extension of the vibration equation for very large membranes with distinct special cases. The fractional derivative is considered in Atangana-Baleanu sense. A numerical algorithm based on homotopic technique is employed to examine the fractional vibration equation. The stability analysis is conducted for the suggested scheme. The maple software package is utilized for numerical simulation. In order to illustrate the effects of space, time, and order of Atangana-Baleanu derivative on the displacement, the outcomes of this study are demonstrated graphically. The results revel that the Atangana-Baleanu fractional derivative is very efficient in describing vibrations in large membranes.