Pub Date : 2024-01-13DOI: 10.24425/bpasts.2024.149170
Mustafa Aydin, N. Mahmudov
. We introduce the Sobolev-type multi-term µ -fractional evolution with generalized fractional orders with respect to another function. We make some applications of the generalized Laplace transform. In the sequel, we propose a novel type of Mittag-Leffler function generated by noncommutative linear bounded operators with respect to the given function and give a few of its properties. We look for the mild solution formula of the Sobolev-type evolution equation by building on the aforementioned Mittag-Leffler-type function with the aid of two different approaches. We share new special cases of the obtained findings.
{"title":"Some applications of the generalized Laplace transform and the representation of a solution to Sobolev-type evolution equations with the generalized Caputo derivative","authors":"Mustafa Aydin, N. Mahmudov","doi":"10.24425/bpasts.2024.149170","DOIUrl":"https://doi.org/10.24425/bpasts.2024.149170","url":null,"abstract":". We introduce the Sobolev-type multi-term µ -fractional evolution with generalized fractional orders with respect to another function. We make some applications of the generalized Laplace transform. In the sequel, we propose a novel type of Mittag-Leffler function generated by noncommutative linear bounded operators with respect to the given function and give a few of its properties. We look for the mild solution formula of the Sobolev-type evolution equation by building on the aforementioned Mittag-Leffler-type function with the aid of two different approaches. We share new special cases of the obtained findings.","PeriodicalId":503897,"journal":{"name":"Bulletin of the Polish Academy of Sciences Technical Sciences","volume":"22 23","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139531256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-21DOI: 10.24425/bpasts.2024.148940
{"title":"148940","authors":"","doi":"10.24425/bpasts.2024.148940","DOIUrl":"https://doi.org/10.24425/bpasts.2024.148940","url":null,"abstract":"","PeriodicalId":503897,"journal":{"name":"Bulletin of the Polish Academy of Sciences Technical Sciences","volume":"5 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139167375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-21DOI: 10.24425/bpasts.2024.148939
{"title":"148939","authors":"","doi":"10.24425/bpasts.2024.148939","DOIUrl":"https://doi.org/10.24425/bpasts.2024.148939","url":null,"abstract":"","PeriodicalId":503897,"journal":{"name":"Bulletin of the Polish Academy of Sciences Technical Sciences","volume":"53 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139167524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-21DOI: 10.24425/bpasts.2024.148941
{"title":"148941","authors":"","doi":"10.24425/bpasts.2024.148941","DOIUrl":"https://doi.org/10.24425/bpasts.2024.148941","url":null,"abstract":"","PeriodicalId":503897,"journal":{"name":"Bulletin of the Polish Academy of Sciences Technical Sciences","volume":"12 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139167797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-21DOI: 10.24425/bpasts.2024.148944
{"title":"148944","authors":"","doi":"10.24425/bpasts.2024.148944","DOIUrl":"https://doi.org/10.24425/bpasts.2024.148944","url":null,"abstract":"","PeriodicalId":503897,"journal":{"name":"Bulletin of the Polish Academy of Sciences Technical Sciences","volume":"4 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139167384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-21DOI: 10.24425/bpasts.2024.148942
{"title":"148942","authors":"","doi":"10.24425/bpasts.2024.148942","DOIUrl":"https://doi.org/10.24425/bpasts.2024.148942","url":null,"abstract":"","PeriodicalId":503897,"journal":{"name":"Bulletin of the Polish Academy of Sciences Technical Sciences","volume":"8 22","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139166223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-21DOI: 10.24425/bpasts.2024.148943
{"title":"148943","authors":"","doi":"10.24425/bpasts.2024.148943","DOIUrl":"https://doi.org/10.24425/bpasts.2024.148943","url":null,"abstract":"","PeriodicalId":503897,"journal":{"name":"Bulletin of the Polish Academy of Sciences Technical Sciences","volume":"14 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139167780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-14DOI: 10.24425/bpasts.2024.148874
{"title":"148874","authors":"","doi":"10.24425/bpasts.2024.148874","DOIUrl":"https://doi.org/10.24425/bpasts.2024.148874","url":null,"abstract":"","PeriodicalId":503897,"journal":{"name":"Bulletin of the Polish Academy of Sciences Technical Sciences","volume":"51 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139179765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-14DOI: 10.24425/bpasts.2024.148873
{"title":"148873","authors":"","doi":"10.24425/bpasts.2024.148873","DOIUrl":"https://doi.org/10.24425/bpasts.2024.148873","url":null,"abstract":"","PeriodicalId":503897,"journal":{"name":"Bulletin of the Polish Academy of Sciences Technical Sciences","volume":"46 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139180465","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-14DOI: 10.24425/bpasts.2024.148875
{"title":"148875","authors":"","doi":"10.24425/bpasts.2024.148875","DOIUrl":"https://doi.org/10.24425/bpasts.2024.148875","url":null,"abstract":"","PeriodicalId":503897,"journal":{"name":"Bulletin of the Polish Academy of Sciences Technical Sciences","volume":"119 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139179605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：