Well-posedness and numerical approximation of tempered fractional terminal value problems

Maria Luísa Morgado, Magda Rebelo

Research output: Contribution to journalReview articlepeer-review

9 Citations (Scopus)

Abstract

For a class of tempered fractional terminal value problems of the Caputo type, we study the existence and uniqueness of the solution, analyze the continuous dependence on the given data, and using a shooting method we present and discuss three numerical schemes for the numerical approximation of such problems. Some numerical examples are considered in order to illustrate the theoretical results and evidence the efficiency of the numerical methods.

Original languageEnglish
Pages (from-to)1239-1262
Number of pages24
JournalFractional Calculus and Applied Analysis
Volume20
Issue number5
DOIs
Publication statusPublished - Oct 2017

Keywords

  • Caputo Derivative
  • numerical methods
  • shooting method
  • tempered fractional derivatives
  • terminal value problem

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