About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order....
Abstract: This research work devoted to proof an existence and uniqueness of solution of a local problem for the degenerating parabolic-hyperbolic type equation with loaded terms involving a trace of solution in Erdelyi-Kober integrals. Since, the trace of solution (i.e. u(...
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| Дата: | 2021 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2021
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/106 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865788170689314816 |
|---|---|
| author | Abdullaev, Obidjon Abdullaev, Obidjon Abdullaev, Obidjon |
| author_facet | Abdullaev, Obidjon Abdullaev, Obidjon Abdullaev, Obidjon |
| author_institution_txt_mv | [
{
"author": "Obidjon Abdullaev",
"institution": "National University of Uzbekistan"
}
] |
| author_sort | Abdullaev, Obidjon |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2021-09-09T14:45:54Z |
| description | Abstract: This research work devoted to proof an existence and uniqueness of solution of a local problem for the degenerating parabolic-hyperbolic type equation with loaded terms involving a trace of solution in Erdelyi-Kober integrals. Since, the trace of solution (i.e. u(x; 0) ) is in Erdelyi-Kober integrals and hyperbolic type equation is degenerates on the line y = 0, we used some properties and estimations of hyper-geometric functions, moreover some integral equalities on the proofing process of the uniqueness and existence of solution of the investigated problem. |
| first_indexed | 2026-03-24T02:01:50Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-106 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| last_indexed | 2026-03-24T02:01:50Z |
| publishDate | 2021 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-1062021-09-09T14:45:54Z About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order.... About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order.... About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order.... Abdullaev, Obidjon Abdullaev, Obidjon Abdullaev, Obidjon Abstract: This research work devoted to proof an existence and uniqueness of solution of a local problem for the degenerating parabolic-hyperbolic type equation with loaded terms involving a trace of solution in Erdelyi-Kober integrals. Since, the trace of solution (i.e. u(x; 0) ) is in Erdelyi-Kober integrals and hyperbolic type equation is degenerates on the line y = 0, we used some properties and estimations of hyper-geometric functions, moreover some integral equalities on the proofing process of the uniqueness and existence of solution of the investigated problem. Institute of Mathematics, NAS of Ukraine 2021-09-09 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/106 Ukrains’kyi Matematychnyi Zhurnal; Vol. 71 No. 6 (2019) Український математичний журнал; Том 71 № 6 (2019) 1027-3190 Copyright (c) 2021 Obidjon Abdullaev |
| spellingShingle | Abdullaev, Obidjon Abdullaev, Obidjon Abdullaev, Obidjon About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order.... |
| title | About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order.... |
| title_alt | About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order.... About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order.... |
| title_full | About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order.... |
| title_fullStr | About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order.... |
| title_full_unstemmed | About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order.... |
| title_short | About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order.: About a problem for the mixed type equation fractional order.... |
| title_sort | about a problem for the degenerating mixed type equation involving caputo and erdelyi-kober operators fractional order.: about a problem for the mixed type equation fractional order.... |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/106 |
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