Collocation methods for terminal value problems of tempered fractional differential equations

被引：72
|
作者：
Shiri, Babak [1 ]
Wu, Guo-Cheng [1 ]
Baleanu, Dumitru [2 ,3 ]
机构：
[1] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China
[2] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
[3] Inst Space Sci, Magurele, Romania
来源：
APPLIED NUMERICAL MATHEMATICS | 2020年 / 156卷 / 156期
关键词：
Terminal value problems; Tempered fractional differential equations; Discrete collocation methods; Piecewise polynomials spaces; Fredholm-Volterra integral equations; ALGEBRAIC EQUATIONS; ALGORITHM;
D O I：
10.1016/j.apnum.2020.05.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of tempered fractional differential equations with terminal value problems are investigated in this paper. Discretized collocation methods on piecewise polynomials spaces are proposed for solving these equations. Regularity results are constructed on weighted spaces and convergence order is studied. Several examples are supported the theoretical parts and compared with other methods. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：385 / 395
页数：11
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