Nonlinear higher order fractional terminal value problems

被引：31

作者：

Baleanu, Dumitru ^{[1
,2
,3
]}

Shiri, Babak ^{[4
]}

机构：

[1] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey

[2] Inst Space Sci, Magurele, Romania

[3] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung, Taiwan

[4] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 05期

关键词：

terminal value problems; systems of fractional differential equations; existence; regularity; weakly singular Volterra and Fredholm integral equations; piecewise polynomials collocation methods; COLLOCATION METHODS; DIFFERENTIAL-EQUATIONS;

D O I：

10.3934/math.2022420

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Terminal value problems for systems of fractional differential equations are studied with an especial focus on higher-order systems. Discretized piecewise polynomial collocation methods are used for approximating the exact solution. This leads to solving a system of nonlinear equations. For solving such a system an iterative method with a required tolerance is introduced and analyzed. The existence of a unique solution is guaranteed with the aid of the fixed point theorem. Order of convergence for the given numerical method is obtained. Numerical experiments are given to support theoretical results.

引用

页码：7489 / 7506

页数：18