The multiplicity solutions for nonlinear fractional differential equations of Riemann-Liouville type-Reference-Cited by-同舟云学术

The multiplicity solutions for nonlinear fractional differential equations of Riemann-Liouville type

Published:2018-06-01 Issue:3 Volume:21 Page:801-818
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Ma Tianfu¹²,Yan Baoqiang²

Affiliation:

1. School of Control Science and Engineering Shandong University , Jinan - 250061 , China

2. School of Mathematical Sciences Shandong Normal University , Jinan - 250014 , China

Abstract

Abstract Positive and negative definite comparison results for nonlinear q-th fractional differential equations of Riemann-Liouville type are derived without requiring Hölder 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2018-0042/pdf

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