Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems

Keyu Zhang; Fehaid Salem Alshammari; Jiafa Xu; Donal O’Regan

doi:10.3390/fractalfract6090480

Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems

Keyu Zhang, Fehaid Salem Alshammari, Jiafa Xu, Donal O’Regan

Mathematics

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

1 Citation (Scopus)

Abstract

In this paper, we use the fixed-point index to establish positive solutions for a system of Riemann–Liouville type fractional-order integral boundary value problems. Some appropriate concave and convex functions are used to characterize coupling behaviors of our nonlinearities.

Original language	English
Article number	480
Journal	Fractal and Fractional
Volume	6
Issue number	9
DOIs	https://doi.org/10.3390/fractalfract6090480
Publication status	Published - Sep 2022

Keywords

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

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10.3390/fractalfract6090480

Cite this

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title = "Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems",

abstract = "In this paper, we use the fixed-point index to establish positive solutions for a system of Riemann–Liouville type fractional-order integral boundary value problems. Some appropriate concave and convex functions are used to characterize coupling behaviors of our nonlinearities.",

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

author = "Keyu Zhang and Alshammari, \{Fehaid Salem\} and Jiafa Xu and Donal O{\textquoteright}Regan",

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journal = "Fractal and Fractional",

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AU - Alshammari, Fehaid Salem

AU - Xu, Jiafa

AU - O’Regan, Donal

PY - 2022/9

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N2 - In this paper, we use the fixed-point index to establish positive solutions for a system of Riemann–Liouville type fractional-order integral boundary value problems. Some appropriate concave and convex functions are used to characterize coupling behaviors of our nonlinearities.

AB - In this paper, we use the fixed-point index to establish positive solutions for a system of Riemann–Liouville type fractional-order integral boundary value problems. Some appropriate concave and convex functions are used to characterize coupling behaviors of our nonlinearities.

KW - fixed-point index

KW - integral boundary value problems

KW - positive solutions

KW - Riemann–Liouville type fractional-order differential equations

UR - https://www.scopus.com/pages/publications/85138519692

U2 - 10.3390/fractalfract6090480

DO - 10.3390/fractalfract6090480

M3 - Article

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JO - Fractal and Fractional

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Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems

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Keywords

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