Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order
The paper investigates the issues of solvability and spectral properties of local and nonlocal problems for the fractional order diffusion-wave equation. The regular and strong solvability to problems stated in the domains, both with characteristic and non-characteristic boundaries are prov...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2023-06-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Online Access: | https://mathematics-vestnik.ksu.kz/apart/2023-110-2/01.pdf |
| _version_ | 1797788627901612032 |
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| author | N. Adil A.S. Berdyshev |
| author_facet | N. Adil A.S. Berdyshev |
| author_sort | N. Adil |
| collection | DOAJ |
| description | The paper investigates the issues of solvability and spectral properties of local and nonlocal problems for the fractional order diffusion-wave equation. The regular and strong solvability to problems stated in the domains, both with characteristic and non-characteristic boundaries are proved. Unambiguous solvability is established and theorems on the existence of eigenvalues or the Volterra property of the problems under consideration are proved. |
| first_indexed | 2024-03-13T01:38:12Z |
| format | Article |
| id | doaj.art-d5891895362f43508b99f6c81af26309 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-13T01:38:12Z |
| publishDate | 2023-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-d5891895362f43508b99f6c81af263092023-07-03T19:16:28ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112023-06-01110242010.31489/2023M2/4-20Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional orderN. AdilA.S. Berdyshev The paper investigates the issues of solvability and spectral properties of local and nonlocal problems for the fractional order diffusion-wave equation. The regular and strong solvability to problems stated in the domains, both with characteristic and non-characteristic boundaries are proved. Unambiguous solvability is established and theorems on the existence of eigenvalues or the Volterra property of the problems under consideration are proved.https://mathematics-vestnik.ksu.kz/apart/2023-110-2/01.pdf |
| spellingShingle | N. Adil A.S. Berdyshev Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order Қарағанды университетінің хабаршысы. Математика сериясы |
| title | Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order |
| title_full | Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order |
| title_fullStr | Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order |
| title_full_unstemmed | Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order |
| title_short | Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order |
| title_sort | spectral properties of local and nonlocal problems for the diffusion wave equation of fractional order |
| url | https://mathematics-vestnik.ksu.kz/apart/2023-110-2/01.pdf |
| work_keys_str_mv | AT nadil spectralpropertiesoflocalandnonlocalproblemsforthediffusionwaveequationoffractionalorder AT asberdyshev spectralpropertiesoflocalandnonlocalproblemsforthediffusionwaveequationoffractionalorder |