Research Outputs

Permanent URI for this collection

https://hdl.handle.net/11424/226473

Browse

Browsing Research Outputs by Publisher "ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    PublicationMetadata only
    Theorems on Some Families of Fractional Differential Equations and Their Applications
    (ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS, 2019) Bozkurt, Guelcin; Albayrak, Durmus; Dernek, Nese
    We use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville fractional derivative. We first state and prove our main results regarding the solutions of some families of fractional order differential equations, and then give examples to illustrate these results. In particular, we give the exact solutions for the vibration equation with fractional damping and the Bagley-Torvik equation.