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Abstract and Applied Analysis
Volume 2012, Article ID 973102, 16 pages
Research Article

Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order

1Institute of Mathematics and Information Technologies, Uzbek Academy of Sciences, 29 Do'rmon yo'li street, Tashkent 100047, Uzbekistan
2Department of Mathematics, Fatih University, 34500 Buyucekmece, Istanbul, Turkey
3ITTU, Ashgabat 74400, Turkmenistan

Received 30 March 2012; Revised 25 April 2012; Accepted 12 May 2012

Academic Editor: Valery Covachev

Copyright © 2012 Djumaklych Amanov and Allaberen Ashyralyev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The initial-boundary value problem for partial differential equations of higher-order involving the Caputo fractional derivative is studied. Theorems on existence and uniqueness of a solution and its continuous dependence on the initial data and on the right-hand side of the equation are established.