WELL-POSEDNESS AND NUMERICAL APPROXIMATION OF TEMPERED FRACTIONAL TERMINAL VALUE PROBLEMS

被引：25

作者：

Morgado, Maria Luisa ^{[1
,2
]}

Rebelo, Magda ^{[3
,4
]}

机构：

[1] Univ Tras Os Montes & Alto Douro, Pole CMAT UTAD, Ctr Math, P-5001801 Quinta De Prados, Vila Real, Portugal

[2] Univ Tras Os Montes & Alto Douro, UTAD, Dept Math, P-5001801 Quinta De Prados, Vila Real, Portugal

[3] Univ Nova Lisboa, Dept Math, P-2829516 Quinta Da Torre, Caparica, Portugal

[4] Univ Nova Lisboa, Ctr Matemat & Aplicacoes, P-2829516 Quinta Da Torre, Caparica, Portugal

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2017年 / 20卷 / 05期

关键词：

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

D O I：

10.1515/fca-2017-0065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1239 / 1262

页数：24

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