Taki-Eddine Oussaeif, Abdelfatah Bouziani
Abstract:
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 density of the range of the operator generated by the problem.
Submitted June 11, 2014. Published August 25, 2014.
Math Subject Classifications: 35D05, 35K15, 35K20, 35B45, 35A05.
Key Words: Partial fractional differential equation; energy inequality;
integral condition; existence; uniqueness.
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Taki-Eddine Oussaeif Department of Mathematics and Informatics The Larbi Ben M'hidi University, Oum El Bouaghi, Algeria email: taki_maths@live.fr |
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Abdelfatah Bouziani Departement de Mathematiques et Informatique Universite Larbi Ben M'hidi-Oum El Bouagui 04000, Algeria email: af_bouziani@hotmail.com |
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