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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Texas State University
2014-08-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/179/abstr.html |
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doaj-7f7c055a042e493896286d9cb5297cad2020-11-24T23:39:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-08-012014179,110Existence and uniqueness of solutions to parabolic fractional differential equations with integral conditionsTaki-Eddine Oussaeif0Abdelfatah Bouziani1 Larbi Ben M'hidi Univ., Oum El Bouaghi, Algeria Larbi Ben M'hidi Univ., Oum El Bouaghi, Algeria 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.http://ejde.math.txstate.edu/Volumes/2014/179/abstr.htmlPartial fractional differential equationenergy inequalityintegral conditionexistenceuniqueness |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Taki-Eddine Oussaeif Abdelfatah Bouziani |
| spellingShingle |
Taki-Eddine Oussaeif Abdelfatah Bouziani Existence and uniqueness of solutions to parabolic fractional differential equations with integral conditions Electronic Journal of Differential Equations Partial fractional differential equation energy inequality integral condition existence uniqueness |
| author_facet |
Taki-Eddine Oussaeif Abdelfatah Bouziani |
| author_sort |
Taki-Eddine Oussaeif |
| title |
Existence and uniqueness of solutions to parabolic fractional differential equations with integral conditions |
| title_short |
Existence and uniqueness of solutions to parabolic fractional differential equations with integral conditions |
| title_full |
Existence and uniqueness of solutions to parabolic fractional differential equations with integral conditions |
| title_fullStr |
Existence and uniqueness of solutions to parabolic fractional differential equations with integral conditions |
| title_full_unstemmed |
Existence and uniqueness of solutions to parabolic fractional differential equations with integral conditions |
| title_sort |
existence and uniqueness of solutions to parabolic fractional differential equations with integral conditions |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2014-08-01 |
| description |
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. |
| topic |
Partial fractional differential equation energy inequality integral condition existence uniqueness |
| url |
http://ejde.math.txstate.edu/Volumes/2014/179/abstr.html |
| work_keys_str_mv |
AT takieddineoussaeif existenceanduniquenessofsolutionstoparabolicfractionaldifferentialequationswithintegralconditions AT abdelfatahbouziani existenceanduniquenessofsolutionstoparabolicfractionaldifferentialequationswithintegralconditions |
| _version_ |
1725513103213330432 |