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Nonlinear evolution equations with a fractional derivative on a half-line. (English) Zbl 1169.35373

Summary: We study the initial-boundary value problem on a half-line for the nonlinear evolution equations with a fractional derivative. We study traditionally important problems of a theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35B40 Asymptotic behavior of solutions to PDEs
35R70 PDEs with multivalued right-hand sides
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