Monotone iterative positive solutions for a fractional differential system with coupled hadamard type fractional integral conditions

Yaohong Li; Shikun Bai; Donal O'Regan

doi:10.11948/20220359

Monotone iterative positive solutions for a fractional differential system with coupled hadamard type fractional integral conditions

Yaohong Li
, Shikun Bai
, Donal O'Regan

Mathematics

Suzhou University
Chongqing Normal University

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

7 Citations (Scopus)

Abstract

In this paper, we study via the monotone iterative technique positive solutions for a class of Hadamard type fractional-order differential systems with coupled Hadamard type fractional-order integral boundary value conditions on an infinite interval. Schemes are constructed to approximate extremal positive solutions of the coupled differential system. Examples are given to illustrate the theory.

Original language	English
Pages (from-to)	1556-1580
Number of pages	25
Journal	Journal of Applied Analysis and Computation
Volume	13
Issue number	3
DOIs	https://doi.org/10.11948/20220359
Publication status	Published - 2023

Keywords

Fractional differential system
Hadamard type fractional integral
Infinite interval
Monotone iterative technique

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10.11948/20220359

Cite this

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abstract = "In this paper, we study via the monotone iterative technique positive solutions for a class of Hadamard type fractional-order differential systems with coupled Hadamard type fractional-order integral boundary value conditions on an infinite interval. Schemes are constructed to approximate extremal positive solutions of the coupled differential system. Examples are given to illustrate the theory.",

keywords = "Fractional differential system, Hadamard type fractional integral, Infinite interval, Monotone iterative technique",

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AU - Li, Yaohong

AU - Bai, Shikun

AU - O'Regan, Donal

PY - 2023

Y1 - 2023

N2 - In this paper, we study via the monotone iterative technique positive solutions for a class of Hadamard type fractional-order differential systems with coupled Hadamard type fractional-order integral boundary value conditions on an infinite interval. Schemes are constructed to approximate extremal positive solutions of the coupled differential system. Examples are given to illustrate the theory.

AB - In this paper, we study via the monotone iterative technique positive solutions for a class of Hadamard type fractional-order differential systems with coupled Hadamard type fractional-order integral boundary value conditions on an infinite interval. Schemes are constructed to approximate extremal positive solutions of the coupled differential system. Examples are given to illustrate the theory.

KW - Fractional differential system

KW - Hadamard type fractional integral

KW - Infinite interval

KW - Monotone iterative technique

UR - https://www.scopus.com/pages/publications/85160616000

U2 - 10.11948/20220359

DO - 10.11948/20220359

M3 - Article

AN - SCOPUS:85160616000

SN - 2156-907X

VL - 13

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JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

IS - 3

ER -

Monotone iterative positive solutions for a fractional differential system with coupled hadamard type fractional integral conditions

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Keywords

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