{"title":"Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative","authors":"M. O. Benmeddour, A. Saadi, Y. Arioua","doi":"10.21915/bimas.2023104","DOIUrl":"https://doi.org/10.21915/bimas.2023104","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"85 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80457011","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}
{"title":"Solvability and blow-up of the weak solution for a semi-linear Bessel problem with Neumann integral condition","authors":"Dehilis Sofiane, Taki-Eddine Oussaeif, Chebana Zainouba","doi":"10.21915/bimas.2022405","DOIUrl":"https://doi.org/10.21915/bimas.2022405","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"6 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75348926","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}
{"title":"Impulsive stochastic differential equations involving Hilfer fractional derivatives","authors":"Rahmani Hachemi, Toufik Guendouzi","doi":"10.21915/bimas.2022404","DOIUrl":"https://doi.org/10.21915/bimas.2022404","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"58 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76324469","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}
{"title":"Stability of positive solutions for a class of nonlinear Hadamard type fractional differential equations with $p$-Laplacian","authors":"S. Horrigue","doi":"10.21915/bimas.2022403","DOIUrl":"https://doi.org/10.21915/bimas.2022403","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"40 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74032859","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}
K. Khelil, A. Ardjouni, Adel Lachouri, F. Bouchelaghem
{"title":"Existence of solutions for fractional differential equations with Ψ-Hilfer fractional derivative with nonlocal integral boundary conditions","authors":"K. Khelil, A. Ardjouni, Adel Lachouri, F. Bouchelaghem","doi":"10.21915/bimas.2022402","DOIUrl":"https://doi.org/10.21915/bimas.2022402","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"69 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74068164","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}
In a previous paper we have defined a second basis of the Grothendieck group of a split reductive group over a finite field. In this paper we extend this to the case of nonsplit special orthogonal groups.
{"title":"On bases of certain Grothendieck groups","authors":"G. Lusztig","doi":"10.21915/bimas.2023201","DOIUrl":"https://doi.org/10.21915/bimas.2023201","url":null,"abstract":"In a previous paper we have defined a second basis of the Grothendieck group of a split reductive group over a finite field. In this paper we extend this to the case of nonsplit special orthogonal groups.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"9 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84271301","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}
{"title":"Multiplicity results for a critical and subcritical system involving fractional $p$-Laplacian operator via Nehari manifold method","authors":"Zediri Sounia, Akrout Kamel, Ghanmi Abdeljabbar","doi":"10.21915/bimas.2022304","DOIUrl":"https://doi.org/10.21915/bimas.2022304","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"82 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83933606","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}
{"title":"Solvability of nonlinear hyperbolic equation with nonlinear integral Neumann conditions","authors":"Oussaeif Taki-Eddine, Chebana Zainouba, Ouannas Adel","doi":"10.21915/bimas.2022303","DOIUrl":"https://doi.org/10.21915/bimas.2022303","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"58 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81632595","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}
In this work, we present property of instant independence and we give a new approach on stochastic integration with respect to fractional Brownian motion for processes not necessarily adapted
{"title":"Property of instant independence and stochastic integration","authors":"Hamada Fatna, Kandouci Abdeldjebbar","doi":"10.21915/bimas.2022205","DOIUrl":"https://doi.org/10.21915/bimas.2022205","url":null,"abstract":"In this work, we present property of instant independence and we give a new approach on stochastic integration with respect to fractional Brownian motion for processes not necessarily adapted","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"35 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73808110","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}
In this work, we investigate the question of the existence of multiple solutions for some nonlinear singular p -fractional problem with Riemann-Liouville fractional derivative and of Kirchhoff type. Precisely, we employ the method of the Nehari manifold combined with the analysis of the fibering map in order to show the existence of at least two nontrivial weak solutions.
{"title":"Existence of solution for some singular Kirchhoff fractional boundary value problem","authors":"A. Ghanmi","doi":"10.21915/bimas.2022203","DOIUrl":"https://doi.org/10.21915/bimas.2022203","url":null,"abstract":"In this work, we investigate the question of the existence of multiple solutions for some nonlinear singular p -fractional problem with Riemann-Liouville fractional derivative and of Kirchhoff type. Precisely, we employ the method of the Nehari manifold combined with the analysis of the fibering map in order to show the existence of at least two nontrivial weak solutions.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"98 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75328158","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}
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