Title

A SAMARSKII-IONKIN PROBLEM FOR TWO-DIMENSIONAL
PARABOLIC EQUATION WITH THE CAPUTO FRACTIONAL
DIFFERENTIAL OPERATOR

Authors

Abdumauvlen S. Berdyshev, Bakhtiyor J. Kadirkulov
Abay Kazakh National Pedagogical University
Almaty, KAZAKHSTAN
Tashkent State Institute of Oriental Studies
Tashkent, UZBEKISTAN

Abstract

In the work, the authors consider a Samarskii-Ionkin type non-local problem for a fourth-order partial differential equation with the Caputo fractional differential operator in a spatial domain. Applying the method of separation of variables the authors prove the theorem of the existence and uniqueness of the regular solution of these problems.

History

Received: December 15, 2016
Revised: January 30, 2017
Published: March 30, 2017

AMS Classification, Key Words

AMS Subject Classification: 35M10, 35R11, 35R30
Key Words and Phrases: Samarskii-Ionkin type non-local problem, Caputo fractional differential operator, fractional differential equation, eigenfunction, associated function, completeness, biorthogonal property, Riesz basis

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How to Cite?

DOI: 10.12732/ijpam.v113i4.6 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: 2017
Volume: 113
Issue: 4
Pages: 53 - 64

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

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