{"title":"ANALYTICAL MODELING ON DISPERSION OF NONCONSERVATIVE POLLUTANT ON A STEP INCREASE IN DEPTH FLOW","authors":"A. Purnama, E. Balakrishnan, K.S.M. Al-Mashrafi","doi":"10.12732/ijam.v36i4.8","DOIUrl":"https://doi.org/10.12732/ijam.v36i4.8","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136182875","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":"PRESERVER OF SOME SPECTRAL DOMAINS OF PRODUCT OPERATORS","authors":"R. Parvinianzadeh","doi":"10.12732/ijam.v36i4.3","DOIUrl":"https://doi.org/10.12732/ijam.v36i4.3","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136182883","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":"INTEGRAL SOLUTION OF SOME FIXED POINT RESULTS IN ALTERING DISTANCE FUNCTION WITH ORTHOGONAL COMPLETE METRIC SPACE","authors":"G. Nallaselli, A.J. Gnanaprakasam","doi":"10.12732/ijam.v36i4.7","DOIUrl":"https://doi.org/10.12732/ijam.v36i4.7","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"2017 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136182879","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":"SOLITON SOLUTIONS FOR THE MANHATTAN LATTICE","authors":"L. Beklaryan, A. Beklaryan, A. Akopov","doi":"10.12732/ijam.v36i4.10","DOIUrl":"https://doi.org/10.12732/ijam.v36i4.10","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136182881","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}
J. Paneva-Konovska, V. Kiryakova, S. Rogosin, M. Dubatovskaya
: In this paper, the multi-index generalizations (with 3 and 4 indices, then with 3 m and 4 m indices) of the classical Le Roy function and its Mittag-Leffler analogues are considered on wider sets of the parameters. Thus, we extend our recent studies as continuation of the works on Le Roy type functions by Gerhold, Garra and Polito, Mainardi and Garrappa, Tomovski and Mehrez, Pogany, Gorska and Horzela, etc. The Laplace transforms of these multi-index Le Roy type functions are provided. In next Part 2, we will propose their images under the Erd´elyi-Kober operators of fractional calculus. The results are specified for the particular cases of the considered functions. Finally, we discuss some open problems about relation of the Le Roy type functions with special functions more general than the Fox H -functions.
{"title":"LAPLACE TRANSFORM (PART 1) OF THE MULTI-INDEX MITTAG-LEFFLER-PRABHAKAR FUNCTIONS OF LE ROY TYPE","authors":"J. Paneva-Konovska, V. Kiryakova, S. Rogosin, M. Dubatovskaya","doi":"10.12732/ijam.v36i4.2","DOIUrl":"https://doi.org/10.12732/ijam.v36i4.2","url":null,"abstract":": In this paper, the multi-index generalizations (with 3 and 4 indices, then with 3 m and 4 m indices) of the classical Le Roy function and its Mittag-Leffler analogues are considered on wider sets of the parameters. Thus, we extend our recent studies as continuation of the works on Le Roy type functions by Gerhold, Garra and Polito, Mainardi and Garrappa, Tomovski and Mehrez, Pogany, Gorska and Horzela, etc. The Laplace transforms of these multi-index Le Roy type functions are provided. In next Part 2, we will propose their images under the Erd´elyi-Kober operators of fractional calculus. The results are specified for the particular cases of the considered functions. Finally, we discuss some open problems about relation of the Le Roy type functions with special functions more general than the Fox H -functions.","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"13 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136182882","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":"A GENERAL METHOD FOR HYBRID PROJECTIVE COMBINATION SYNCHRONIZATION OF A CLASS OF NONLINEAR FRACTIONAL-ORDER CHAOTIC SYSTEMS","authors":"S. Kaouache","doi":"10.12732/ijam.v36i4.6","DOIUrl":"https://doi.org/10.12732/ijam.v36i4.6","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136182876","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":"ON ESSENTIAL BI-IDEALS AND ESSENTIAL FUZZY BI-IDEALS IN SEMIGROUPS","authors":"T. Gaketem, A. Iampan","doi":"10.12732/ijam.v36i4.4","DOIUrl":"https://doi.org/10.12732/ijam.v36i4.4","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136182877","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":"APPLICATIONS OF FUZZY SETS FOR ALMOSTITY OF TERNARY SUBSEMIRINGS","authors":"N. Sarasit, R. Chinram, A. Rattana","doi":"10.12732/ijam.v36i4.5","DOIUrl":"https://doi.org/10.12732/ijam.v36i4.5","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136182880","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}