Title of article :
Fractional Ostrovsky equation
Author/Authors :
Askari ، Hassan Department of Applied Mathematics - Faculty of Mathematical Sciences - Shahrekord University , Ansari ، Alireza Department of Applied Mathematics - Faculty of Mathematical Sciences - Shahrekord University
Abstract :
In this paper, we find an integral representation for the fundamental solution of the fractional Ostrovsky equation in terms of the Airy and BesselWright functions. The equation is studied in the sense of the Weyl fractional derivative and the solution is presented as the Airy transforms of Wright functions. Using the asymptotic expansion of Wright function the asymptotic behavior of solution is also discussed.
Keywords :
Fractional Ostrovsky equation , Wright function , Airy function , Asymptotic behavior
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations