In this paper, we find an integral representation for the fundamental solution of the fractional Ostrovsky equation in terms of the Airy and Bessel-Wright 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.
Askari, H. and Ansari, A. (2020). Fractional Ostrovsky equation. Computational Methods for Differential Equations, 8(4), 648-660. doi: 10.22034/cmde.2020.26702.1346
MLA
Askari, H. , and Ansari, A. . "Fractional Ostrovsky equation", Computational Methods for Differential Equations, 8, 4, 2020, 648-660. doi: 10.22034/cmde.2020.26702.1346
HARVARD
Askari, H., Ansari, A. (2020). 'Fractional Ostrovsky equation', Computational Methods for Differential Equations, 8(4), pp. 648-660. doi: 10.22034/cmde.2020.26702.1346
CHICAGO
H. Askari and A. Ansari, "Fractional Ostrovsky equation," Computational Methods for Differential Equations, 8 4 (2020): 648-660, doi: 10.22034/cmde.2020.26702.1346
VANCOUVER
Askari, H., Ansari, A. Fractional Ostrovsky equation. Computational Methods for Differential Equations, 2020; 8(4): 648-660. doi: 10.22034/cmde.2020.26702.1346
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