A boundary problem with integral gluing condition for a parabolic-hyperbolic equation involving the Caputo fractional derivative

In the present work we investigate the Tricomi problem with an integral gluing condition for a parabolic-hyperbolic equation involving the Caputo fractional differential operator. Using the method of energy integrals, we prove the uniqueness of the solution for the considered problem. The existe...

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Bibliographic Details
Main Authors: Erkinjon T. Karimov, Jasurjon S. Akhatov
Format: Article
Language:English
Published: Texas State University 2014-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/14/abstr.html