2023 / March Volume 18 No.1
Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative
Published Date |
2023 / March
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Title | Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative |
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Pagination | 61-83 |
Abstract | This paper is devoted to the existence and uniqueness of solution to a class of Hadamard fractional differential equation under fractional Sobolev spaces. A novel form
of fractional Sobolev space via Hadamard fractional operator is well proposed and related properties are also proved. Furthermore, a variational formulation of considered system is established and thereby the Lax-Milgram theorem is also employed to demonstrate the
existence and uniqueness.
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DOI | |
AMS Subject Classification |
26A33, 34A08, 34Bxx
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Received |
2022-11-14
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