An investigation of fractional Bagley-Torvik equation

被引：20

作者：

Fazli, Hossein ^{[1
]}

Nieto, Juan J. ^{[2
,3
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Tabriz, Iran

[2] Univ Santiago de Compostela, Dept Estadist Anal Matemat & Optimizac, Santiago De Compostela 15782, Spain

[3] Real Acad Galega Ciencias, Santiago De Compostela, A Coruna, Spain

来源：

OPEN MATHEMATICS | 2019年 / 17卷

关键词：

Bagley-Torvik equation; Fractional calculus; Partially fixed point; Mixed monotone operator; Existence; Uniqueness; Approximation; FIXED-POINT THEOREMS; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; CALCULUS;

D O I：

10.1515/math-2019-0040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the authors prove the existence as well as approximations of the solutions for the Bagley-Torvik equation admitting only the existence of a lower (coupled lower and upper) solution. Our results rely on an appropriate fixed point theorem in partially ordered normed linear spaces. Illustrative examples are included to demonstrate the validity and applicability of our technique.

引用

页码：499 / 512

页数：14

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