Taki-Eddine Oussaeif, Abdelfatah Bouziani
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.
Show me the PDF file (190 KB), TEX file, and other files for this article.
| Taki-Eddine Oussaeif |
Department of Mathematics and Informatics
The Larbi Ben M'hidi University, Oum El Bouaghi, Algeria
| Abdelfatah Bouziani |
Departement de Mathematiques et Informatique
Universite Larbi Ben M'hidi-Oum El Bouagui 04000, Algeria
Return to the EJDE web page