{"title":"Some aspects of the contribution of Mkhitar Djrbashian to fractional calculus","authors":"","doi":"10.1007/s13540-024-00267-3","DOIUrl":null,"url":null,"abstract":"<h3>Abstract</h3> <p>This survey shows the way in which the Armenian mathematician Academician M.M. Djrbashian introduced the apparatus of fractional calculus in investigation of weighted classes and spaces of regular functions since his earliest work of 1945 (see [<span>3</span>, <span>4</span>] or Addendum to [<span>22</span>]). The investigations of M.M. Djrbashian in this topic reached their final point by his exhaustive factorization theory for functions meromorphic in the unit disc of the complex plane [<span>11</span>]. The contemporary development of M.M. Djrbashian’s ideas can be found in the recent monograph [<span>22</span>]. The survey intends to complete the survey article “Mkhitar Djrbashian and his contribution to fractional calculus" [<span>25</span>], which described the contribution of M.M. Djrbashian mainly from the point of view of basic constructions of the fractional calculus, to the theory of fractional differential equations and integral transforms.</p>","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"31 1","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fractional Calculus and Applied Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s13540-024-00267-3","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
This survey shows the way in which the Armenian mathematician Academician M.M. Djrbashian introduced the apparatus of fractional calculus in investigation of weighted classes and spaces of regular functions since his earliest work of 1945 (see [3, 4] or Addendum to [22]). The investigations of M.M. Djrbashian in this topic reached their final point by his exhaustive factorization theory for functions meromorphic in the unit disc of the complex plane [11]. The contemporary development of M.M. Djrbashian’s ideas can be found in the recent monograph [22]. The survey intends to complete the survey article “Mkhitar Djrbashian and his contribution to fractional calculus" [25], which described the contribution of M.M. Djrbashian mainly from the point of view of basic constructions of the fractional calculus, to the theory of fractional differential equations and integral transforms.
期刊介绍：
Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.
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