Multiple Positive Solutions for Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions and a Parameter-Reference-Cited by-同舟云学术

Multiple Positive Solutions for Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions and a Parameter

Published:2019-05-02 Issue: Volume:2019 Page:1-11
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Mao Juan¹^ORCID,Zhao Daliang²^ORCID

Affiliation:

1. Department of Basic Courses, Shandong Polytechnic, Jinan, 250104, China

2. School of Mathematics and Statistics, Shandong Normal University, Jinan, 250014, China

Abstract

By using the theory of fixed-point index on cone for differentiable operators, spectral radii of some related linear integral operators, and properties of Green’s function, the existence of multiple positive solutions to a nonlinear fractional differential system with integral boundary value conditions and a parameter is established. At last, some examples are also provided to illustrate the validity of our main results.

Funder

Shandong Province Higher Educational Science and Technology

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2019/2787569.pdf

Reference30 articles.

1. Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

2. A study of nonlinear Langevin equation involving two fractional orders in different intervals

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Approximate Controllability for a Class of Semi-Linear Fractional Integro-Differential Impulsive Evolution Equations of Order 1 < α < 2 with Delay;Mathematics;2023-09-25

2. Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition;Evolution Equations and Control Theory;2023

3. New Discussion on Approximate Controllability for Semilinear Fractional Evolution Systems with Finite Delay Effects in Banach Spaces via Differentiable Resolvent Operators;Fractal and Fractional;2022-07-30

4. A Study on Controllability of a Class of Impulsive Fractional Nonlinear Evolution Equations with Delay in Banach Spaces;Fractal and Fractional;2021-12-17

5. Fast‐time complete controllability of nonlinear fractional delay integrodifferential evolution equations with nonlocal conditions and a parameter;Mathematical Methods in the Applied Sciences;2021-11-18