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

2023 Volume 13 Issue 3

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Yaohong Li, Shikun Bai, Donal O'Regan. MONOTONE ITERATIVE POSITIVE SOLUTIONS FOR A FRACTIONAL DIFFERENTIAL SYSTEM WITH COUPLED HADAMARD TYPE FRACTIONAL INTEGRAL CONDITIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1556-1580. doi: 10.11948/20220359

Citation:

Yaohong Li, Shikun Bai, Donal O'Regan. MONOTONE ITERATIVE POSITIVE SOLUTIONS FOR A FRACTIONAL DIFFERENTIAL SYSTEM WITH COUPLED HADAMARD TYPE FRACTIONAL INTEGRAL CONDITIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1556-1580. doi: 10.11948/20220359

MONOTONE ITERATIVE POSITIVE SOLUTIONS FOR A FRACTIONAL DIFFERENTIAL SYSTEM WITH COUPLED HADAMARD TYPE FRACTIONAL INTEGRAL CONDITIONS

1.
School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui, China
2.
School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
3.
School of Mathematical and Statistical Sciences, National University of Ireland, Galway, Ireland

Author Bio: Email: lyh@ahszu.edu.cn(Y. Li); Email: donal.oregan@nuigalway.ie(D. O'Regan)
Corresponding author: Email: bshikun@163.com(S. Bai)
Fund Project: The authors were supported by the Nature Science Foundation of Anhui Provincial Education Department (KJ2020A0735, KJ2021ZD0136, KJ2021A1101), the Foundation of Suzhou University (2019XJZY02, szxy2020xxkc03, 2021fzjj12), SuZhou University Research Center of Dynamical Systems and Control(2021XJPT40), Natural Science Foundation of Chongqing (cstc2020jcyj-msxmX0123), and Technology Research Foundation of Chongqing Educational Committee (KJQN202000528)

Abstract

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.
- Monotone iterative technique /
- fractional differential system /
- Hadamard type fractional integral /
- infinite interval
MSC: 34A05, 34B18, 26A33

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References

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