Solvability for a Hadamard-type fractional integral boundary value problem

Jiafa Xu; Jie Liu; Donal O’regan

doi:10.15388/namc.2023.28.32130

Solvability for a Hadamard-type fractional integral boundary value problem

Jiafa Xu, Jie Liu, Donal O’regan

Mathematics

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

5 Citations (Scopus)

Abstract

In this paper, we study an integral boundary value problem involving a Hadamard-type fractional differential equation. Using fixed point theory and upper-lower solutions, we present some sufficient conditions to obtain existence theorems of positive solutions for the problem. Examples are provided to illustrate our results.

Original language	English
Pages (from-to)	672-696
Number of pages	25
Journal	Nonlinear Analysis: Modelling and Control
Volume	28
Issue number	4
DOIs	https://doi.org/10.15388/namc.2023.28.32130
Publication status	Published - 2023

Keywords

fixed point methods
Hadamard-type fractional differential equations
integral boundary value problems
positive solutions
upper-lower solution methods

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10.15388/namc.2023.28.32130

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title = "Solvability for a Hadamard-type fractional integral boundary value problem",

abstract = "In this paper, we study an integral boundary value problem involving a Hadamard-type fractional differential equation. Using fixed point theory and upper-lower solutions, we present some sufficient conditions to obtain existence theorems of positive solutions for the problem. Examples are provided to illustrate our results.",

keywords = "fixed point methods, Hadamard-type fractional differential equations, integral boundary value problems, positive solutions, upper-lower solution methods",

author = "Jiafa Xu and Jie Liu and Donal O{\textquoteright}regan",

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T1 - Solvability for a Hadamard-type fractional integral boundary value problem

AU - Xu, Jiafa

AU - Liu, Jie

AU - O’regan, Donal

PY - 2023

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N2 - In this paper, we study an integral boundary value problem involving a Hadamard-type fractional differential equation. Using fixed point theory and upper-lower solutions, we present some sufficient conditions to obtain existence theorems of positive solutions for the problem. Examples are provided to illustrate our results.

AB - In this paper, we study an integral boundary value problem involving a Hadamard-type fractional differential equation. Using fixed point theory and upper-lower solutions, we present some sufficient conditions to obtain existence theorems of positive solutions for the problem. Examples are provided to illustrate our results.

KW - fixed point methods

KW - Hadamard-type fractional differential equations

KW - integral boundary value problems

KW - positive solutions

KW - upper-lower solution methods

UR - https://www.scopus.com/pages/publications/85164133433

U2 - 10.15388/namc.2023.28.32130

DO - 10.15388/namc.2023.28.32130

M3 - Article

AN - SCOPUS:85164133433

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JO - Nonlinear Analysis: Modelling and Control

JF - Nonlinear Analysis: Modelling and Control

IS - 4

ER -

Solvability for a Hadamard-type fractional integral boundary value problem

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