Existence and uniqueness of solutions to parabolic fractional differential equations with integral conditions

In this article, we establish sufficient conditions for the existence and uniqueness of a solution, in a functional weighted Sobolev space, for partial fractional differential equations with integral conditions. The results are established by applying the energy inequality method, and the d...

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Bibliographic Details
Main Authors: Taki-Eddine Oussaeif, Abdelfatah Bouziani
Format: Article
Language:English
Published: Texas State University 2014-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/179/abstr.html