Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order
The investigation of the properties of the integro-differential operators will be carried out. Which generalizes the well-known Bavrin operators to the fractional value of the parameters. The properties of the defined operators are in the classes of the polyharmonic operators. It is established that...
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IOP Publishing
2019
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| Online Access: | http://umpir.ump.edu.my/id/eprint/25116/ http://umpir.ump.edu.my/id/eprint/25116/1/Solving%20boundary%20problems%20for%20biharmonic%20operator%20by%20using.pdf |
| _version_ | 1848822204001681408 |
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| author | Ahmedov, Anvarjon A. Turmetov, Batirkhan Siti Fatimah, Hj Ahmad Zabidi |
| author_facet | Ahmedov, Anvarjon A. Turmetov, Batirkhan Siti Fatimah, Hj Ahmad Zabidi |
| author_sort | Ahmedov, Anvarjon A. |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | The investigation of the properties of the integro-differential operators will be carried out. Which generalizes the well-known Bavrin operators to the fractional value of the parameters. The properties of the defined operators are in the classes of the polyharmonic operators. It is established that the newly defined fractional operators map the polyharmonic functions on the ball to the polyharmonic functions. Also it is proposed that the inverse for the fractional operator and application of the integro-differential fractional operators to solve biharmonic problems with fractional boundary conditions. The sufficient condition for existence and uniqueness of the solution for biharmonic equation with fractional boundary conditions are obtained. The solution of the biharmonic equation is obtained by using the integro-differential fractional operator. |
| first_indexed | 2025-11-15T02:37:31Z |
| format | Conference or Workshop Item |
| id | ump-25116 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:37:31Z |
| publishDate | 2019 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-251162019-10-24T07:41:54Z http://umpir.ump.edu.my/id/eprint/25116/ Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order Ahmedov, Anvarjon A. Turmetov, Batirkhan Siti Fatimah, Hj Ahmad Zabidi QA Mathematics QC Physics TA Engineering (General). Civil engineering (General) The investigation of the properties of the integro-differential operators will be carried out. Which generalizes the well-known Bavrin operators to the fractional value of the parameters. The properties of the defined operators are in the classes of the polyharmonic operators. It is established that the newly defined fractional operators map the polyharmonic functions on the ball to the polyharmonic functions. Also it is proposed that the inverse for the fractional operator and application of the integro-differential fractional operators to solve biharmonic problems with fractional boundary conditions. The sufficient condition for existence and uniqueness of the solution for biharmonic equation with fractional boundary conditions are obtained. The solution of the biharmonic equation is obtained by using the integro-differential fractional operator. IOP Publishing 2019-05-10 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/25116/1/Solving%20boundary%20problems%20for%20biharmonic%20operator%20by%20using.pdf Ahmedov, Anvarjon A. and Turmetov, Batirkhan and Siti Fatimah, Hj Ahmad Zabidi (2019) Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order. In: 14th International Symposium on Geometric Function Theory and Applications, GFTA 2018 , 3 - 5 December 2018 , Puri Pujangga Hotel, Universiti Kebangsaan Malaysia, Selangor, Malaysia. pp. 1-9., 1212 (012021). ISSN 1742-6588 (print); 1742-6596 (online) (Published) https://doi.org/10.1088/1742-6596/1212/1/012021 |
| spellingShingle | QA Mathematics QC Physics TA Engineering (General). Civil engineering (General) Ahmedov, Anvarjon A. Turmetov, Batirkhan Siti Fatimah, Hj Ahmad Zabidi Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order |
| title | Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order |
| title_full | Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order |
| title_fullStr | Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order |
| title_full_unstemmed | Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order |
| title_short | Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order |
| title_sort | solving boundary problems for biharmonic operator by using integro-differential operators of fractional order |
| topic | QA Mathematics QC Physics TA Engineering (General). Civil engineering (General) |
| url | http://umpir.ump.edu.my/id/eprint/25116/ http://umpir.ump.edu.my/id/eprint/25116/ http://umpir.ump.edu.my/id/eprint/25116/1/Solving%20boundary%20problems%20for%20biharmonic%20operator%20by%20using.pdf |