THE MULTIPLICITY SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS OF RIEMANN-LIOUVILLE TYPE

被引：13

作者：

Ma, Tianfu ^{[1
,2
]}

Yan, Baoqiang ^{[2
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

[2] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Shandong, Peoples R China

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2018年 / 21卷 / 03期

关键词：

multiplicity solutions; Riemann-Liouville fractional derivatives; nonlinear boundary value problems; coupled upper-lower solutions; monotone iterative method; MONOTONE ITERATIVE TECHNIQUE; BOUNDARY-VALUE-PROBLEMS; UNIQUENESS; EXISTENCE;

D O I：

10.1515/fca-2018-0042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Positive and negative definite comparison results for nonlinear q-th fractional differential equations of Riemann-Liouville type are derived without requiring Holder continuity assumption. Monotone iterative method is then developed to a class of nonlinear boundary value problems for fractional differential equations, using coupled upper and lower solutions. Existence of the multiplicity solutions for the nonlinear fractional differential equations is presented.

引用

页码：801 / 818

页数：18

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