Abstract time-fractional equations: Existence and growth of solutions

Type: Article

Publication Date: 2011-03-26

Citations: 14

DOI: https://doi.org/10.2478/s13540-011-0018-4

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.

Locations

  • Fractional Calculus and Applied Analysis - View - PDF

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