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B. Kh. Turmetov and B. T. Torebek
On solvability of some boundary value problems for a fractional analogue of the Helmholtz equation view print
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| Published: |
December 7, 2014
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| Keywords: |
Riemann-Liouville operator, Caputo operator, sequential derivative, Helmholtz equation, Laplace operator, fractional differential equation, Mittag-Leffler function, boundary value problem. |
| Subject: |
34A08, 35R11, 74S25 |
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Abstract
In this paper we study some boundary value problems
for fractional analogue of Helmholtz equation in a rectangular
and in a half-band. Theorems about existence and uniqueness of
a solution of the considered problems are proved by spectral method.
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| Author information
B. Kh. Turmetov:
B.Sattarkhanov street, 29, 161200, Department of Mathematics, Akhmet Yasawi International Kazakh-Turkish University, Kazakhstan, Turkistan
turmetovbh@mail.ru
B. T. Torebek:
A.Pushkin street, 125, 050010, Institute of Mathematics and Mathematical Modelling MES RK, Kazakhstan, Almaty
turebekb85@mail.ru
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