Pub Date : 2023-08-01DOI: 10.1216/rmj.2023.53.1019
R. Chen, L. Kong, Min Wang
{"title":"STABILITY ANALYSIS OF AN ONLINE SOCIAL NETWORK MODEL","authors":"R. Chen, L. Kong, Min Wang","doi":"10.1216/rmj.2023.53.1019","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1019","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"31 2","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41258930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-01DOI: 10.1216/rmj.2023.53.1043
D. Duan
{"title":"ON THE CONVERGENCE OF 3D LERAY-α EQUATIONS WITH NAVIER SLIP BOUNDARY CONDITIONS","authors":"D. Duan","doi":"10.1216/rmj.2023.53.1043","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1043","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44188840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-01DOI: 10.1216/rmj.2023.53.1265
Changsong Shen, Xinan Hao
{"title":"POSITIVE SOLUTIONS FOR FRACTIONAL INTEGRAL BOUNDARY VALUE PROBLEM WITH DERIVATIVE DEPENDENCE","authors":"Changsong Shen, Xinan Hao","doi":"10.1216/rmj.2023.53.1265","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1265","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45807589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-01DOI: 10.1216/rmj.2023.53.1189
Shiwei Li
{"title":"FORMATION OF DELTA-SHOCKS FOR THE CHAPLYGIN GAS EQUATIONS BY LOGARITHMIC PRESSURE PERTURBATION","authors":"Shiwei Li","doi":"10.1216/rmj.2023.53.1189","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1189","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42198311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-01DOI: 10.1216/rmj.2023.53.1117
F. Hezenci, H. Budak
In the present paper, we derive an identity for the case of twice-differentiable functions whose second derivatives are convex. By using this equality, we establish some perturbed Newton type inequalities for twice-differentiable convex functions. These type of inequalities are investigated by using the well-known Riemann-Liouville fractional integrals. Furthermore, we provide our results by using special cases of obtained theorems Finally, some conclusions of research are given in the last section.
{"title":"SOME PERTURBED NEWTON TYPE INEQUALITIES FOR RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS","authors":"F. Hezenci, H. Budak","doi":"10.1216/rmj.2023.53.1117","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1117","url":null,"abstract":"In the present paper, we derive an identity for the case of twice-differentiable functions whose second derivatives are convex. By using this equality, we establish some perturbed Newton type inequalities for twice-differentiable convex functions. These type of inequalities are investigated by using the well-known Riemann-Liouville fractional integrals. Furthermore, we provide our results by using special cases of obtained theorems Finally, some conclusions of research are given in the last section.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42487543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-01DOI: 10.1216/rmj.2023.53.1001
Nadia Allouch, S. Hamani
{"title":"BOUNDARY VALUE PROBLEM FOR FRACTIONAL q-DIFFERENCE EQUATIONS IN BANACH SPACE","authors":"Nadia Allouch, S. Hamani","doi":"10.1216/rmj.2023.53.1001","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1001","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44700162","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-01DOI: 10.1216/rmj.2023.53.1177
S. Kemali, G. Tinaztepe, İlknur Yeşilce Işik, Sinem Sezer Evcan
{"title":"NEW INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS OF THE SECOND SENSE VIA THE CAPUTO FRACTIONAL DERIVATIVE AND THE CAPUTO–FABRIZIO INTEGRAL OPERATOR","authors":"S. Kemali, G. Tinaztepe, İlknur Yeşilce Işik, Sinem Sezer Evcan","doi":"10.1216/rmj.2023.53.1177","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1177","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47988863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}