IJPAM: Volume 94, No. 4 (2014)

SOME PROBLEMS FOR FRACTIONAL ANALOGUE
OF LAPLACE EQUATION

B.Kh. Turmetov$^1$, B.T. Torebek$^2$, Sh. Ontuganova$^3$
$^{1,2,3}$Akhmet Yasawi International Kazakh-Turkish University
Sattarkhanov Street 29, 161200, Turkistan, KAZAKHSTAN


Abstract. In this paper we study some boundary value problems for fractional analogue of Laplace equation in a rectangular. Theorems about existence and uniqueness of a solution of the considered problems are proved by spectral method.

Received: March 16, 2014

AMS Subject Classification: 34A08, 35R11, 74S25

Key Words and Phrases: fractional Laplace equation, Caputo operator, boundary value problems

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DOI: 10.12732/ijpam.v94i4.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 94
Issue: 4
Pages: 525 - 532

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).