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Fractional Calculus and Applied AnalysisVolume 14, Issue 2, June 2011, Pages 301-316

Abstract time-fractional equations: Existence and growth of solutions(Article)(Open Access)

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  • University of Novi Sad, Faculty of Technical Sciences, Trg Dositeja Obradovića 6, 21125 Novi Sad, Serbia

Abstract

We contribute to the existence theory of abstract time-fractional equations by stating the sufficient conditions for generation of not exponentially bounded α-times C-regularized resolvent families (α > 1) in sequentially complete locally convex spaces. We also consider the growth order of constructed solutions. © 2011 Diogenes Co., Sofia.

Author keywords

α-times C-regularized resolvent familiesAbstract time-fractional equations

Funding details

Funding sponsor Funding number Acronym
Ministarstvo Prosvete, Nauke i Tehnološkog RazvojaMPNTR

  • 1

    This paper has been partially supported by grant 144016 of of Science and Technological Development, Republic of Serbia.

  • ISSN: 13110454
  • Source Type: Journal
  • Original language: English
  • DOI: 10.2478/s13540-011-0018-4
  • Document Type: Article

  Kostić, M.; University of Novi Sad, Faculty of Technical Sciences, Trg Dositeja Obradovića 6, Serbia;
© Copyright 2011 Elsevier B.V., All rights reserved.

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