On time fractional derivatives in fractional Sobolev spaces and applications to fractional ordinary differential equations (Q2050312)
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scientific article; zbMATH DE number 7388313
| Language | Label | Description | Also known as |
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| English | On time fractional derivatives in fractional Sobolev spaces and applications to fractional ordinary differential equations |
scientific article; zbMATH DE number 7388313 |
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On time fractional derivatives in fractional Sobolev spaces and applications to fractional ordinary differential equations (English)
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30 August 2021
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The author of this article formulates two kinds of time fractional derivatives of Caputo type with order α in fractional Sobolev spaces and proves that they are isomorphisms between the corresponding Sobolev space of order α and the \(L_2\)-space. On the basis of such fractional derivatives, he is able to formulate initial value problems for time fractional ordinary differential equations and to prove the well-posedness. For the entire collection see [Zbl 1470.26002].
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functional derivatives and integrals
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fractional differential equations
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functional-differential equations with fractional derivatives
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