2023 / March Volume 18 No.1
Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative
| Published Date |
2023 / March
|
|---|---|
| Title | Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative |
| Author | |
| Keyword | |
| Download | |
| 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.
|
| DOI | |
| AMS Subject Classification |
26A33, 34A08, 34Bxx
|
| Received |
2022-11-14
|