On a new class of fractional partial differential equations
Keyword(s):
AbstractIn this paper, we study a new class of fractional partial differential equations which are obtained by minimizing variational problems in fractional Sobolev spaces. We introduce a notion of fractional gradient which has the potential to extend many classical results in the Sobolev spaces to the nonlocal and fractional setting in a natural way.
2018 ◽
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pp. 639-651
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Vol 35
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