Abstract and Applied Analysis

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

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 973102, 16 pages.

Dates
First available in Project Euclid: 5 April 2013

https://projecteuclid.org/euclid.aaa/1365174056

Digital Object Identifier
doi:10.1155/2012/973102

Mathematical Reviews number (MathSciNet)
MR2947751

Zentralblatt MATH identifier
1246.35201

Citation

Amanov, Djumaklych; Ashyralyev, Allaberen. Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 973102, 16 pages. doi:10.1155/2012/973102. https://projecteuclid.org/euclid.aaa/1365174056

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