On a class of nonlinear nonlocal fractional differential equations

被引：8

作者：

Fazli, Hossein ^{[1
]}

Sun, Hongguang ^{[1
]}

Aghchi, Sima ^{[1
]}

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

机构：

[1] Hohai Univ, State Key Lab Hydrol Water Resources & Hydraul En, Coll Mech & Mat, Nanjing 210098, Jiangsu, Peoples R China

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

[3] Univ Santiago de Compostela, Inst Matemat, Santiago De Compostela 15782, Spain

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2021年 / 37卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Caputo fractional derivative; extremal solution; nonlocal conditions; Bagley-Torvik equation; Basset equation; EXISTENCE;

D O I：

10.37193/CJM.2021.03.07

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of extremal solutions for a class of fractional differential equations in the area of fluid dynamics. By establishing a new comparison theorem and applying the classical monotone iterative approach, we establish sufficient conditions to ensure the existence of the extremal solutions and construct twin convergent monotone explicit iterative schemes. Generalized nonlinear nonlocal Bagley-Torvik equation and generalized Basset equation with nonlinear source functions are some special cases of our discussed problem.

引用

页码：441 / 448

页数：8

共 25 条

[1] Nonlinear nonlocal Cauchy problems in Banach spaces [J].