Al-Farabi Kazakh National University
050040, Al-Farabi ave., 71
Almaty, Kazakhstan
email: tokmagambetov@math.kz
Institute of Mathematics and Mathematical Modeling
050010, Pushkin st., 125
Almaty, Kazakhstan
email: torebek@math.kz
Niyaz Tokmagambetov, Berikbol T. Torebek
Abstract:
In this remark we study the boundary-value problems for a fractional
analogue of the Laplace equation with integral boundary conditions
in rectangular and half-strip domains. We prove the existence and
uniqueness of solutions by using the spectral decomposition method.
Submitted February 8, 2018. Published April 12, 2018.
Math Subject Classifications: 35R30, 35K05, 35K20.
Key Words: Caputo operator; Riemann-Liouville operator; fractional Laplace;
Mittag-Leffler function; self-adjoint operator; boundary value problem.
Show me the PDF file (233 KB), TEX file for this article.
| Niyaz Tokmagambetov Al-Farabi Kazakh National University 050040, Al-Farabi ave., 71 Almaty, Kazakhstan email: tokmagambetov@math.kz | |
|
Berikbol T. Torebek Institute of Mathematics and Mathematical Modeling 050010, Pushkin st., 125 Almaty, Kazakhstan email: torebek@math.kz |
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