Positive Solutions for a High-Order Riemann-Liouville Type Fractional Integral Boundary Value Problem Involving Fractional Derivatives

Wuyang Wang; Jun Ye; Jiafa Xu; Donal O’Regan

doi:10.3390/sym14112320

Positive Solutions for a High-Order Riemann-Liouville Type Fractional Integral Boundary Value Problem Involving Fractional Derivatives

Wuyang Wang
, Jun Ye
, Jiafa Xu
, Donal O’Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, under some super- and sub-linear growth conditions, we study the existence of positive solutions for a high-order Riemann–Liouville type fractional integral boundary value problem involving fractional derivatives. Our analysis methods are based on the fixed point index and nonsymmetric property of the Green function. Additionally, we provide some valid examples to illustrate our main results.

Original language	English
Article number	2320
Journal	Symmetry
Volume	14
Issue number	11
DOIs	https://doi.org/10.3390/sym14112320
Publication status	Published - Nov 2022

Keywords

fixed point index
integral boundary value problems
positive solutions
Riemann–Liouville fractional differential equations

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10.3390/sym14112320

Cite this

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title = "Positive Solutions for a High-Order Riemann-Liouville Type Fractional Integral Boundary Value Problem Involving Fractional Derivatives",

abstract = "In this paper, under some super- and sub-linear growth conditions, we study the existence of positive solutions for a high-order Riemann–Liouville type fractional integral boundary value problem involving fractional derivatives. Our analysis methods are based on the fixed point index and nonsymmetric property of the Green function. Additionally, we provide some valid examples to illustrate our main results.",

keywords = "fixed point index, integral boundary value problems, positive solutions, Riemann–Liouville fractional differential equations",

author = "Wuyang Wang and Jun Ye and Jiafa Xu and Donal O{\textquoteright}Regan",

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AU - Wang, Wuyang

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AU - Xu, Jiafa

AU - O’Regan, Donal

PY - 2022/11

Y1 - 2022/11

N2 - In this paper, under some super- and sub-linear growth conditions, we study the existence of positive solutions for a high-order Riemann–Liouville type fractional integral boundary value problem involving fractional derivatives. Our analysis methods are based on the fixed point index and nonsymmetric property of the Green function. Additionally, we provide some valid examples to illustrate our main results.

AB - In this paper, under some super- and sub-linear growth conditions, we study the existence of positive solutions for a high-order Riemann–Liouville type fractional integral boundary value problem involving fractional derivatives. Our analysis methods are based on the fixed point index and nonsymmetric property of the Green function. Additionally, we provide some valid examples to illustrate our main results.

KW - fixed point index

KW - integral boundary value problems

KW - positive solutions

KW - Riemann–Liouville fractional differential equations

UR - https://www.scopus.com/pages/publications/85141803537

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DO - 10.3390/sym14112320

M3 - Article

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JO - Symmetry

JF - Symmetry

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ER -

Positive Solutions for a High-Order Riemann-Liouville Type Fractional Integral Boundary Value Problem Involving Fractional Derivatives

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Keywords

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