EXISTENCE OF POSITIVE SOLUTIONS FOR COUPLED FRACTIONAL DIFFERENTIAL SYSTEM WITH IMPROPER INTEGRAL BOUNDARY CONDITIONS ON THE HALF-LINE

Minghui Liu; Jiqiang Jiang

doi:10.11948/20250110

2026 Volume 16 Issue 1

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Minghui Liu, Jiqiang Jiang. EXISTENCE OF POSITIVE SOLUTIONS FOR COUPLED FRACTIONAL DIFFERENTIAL SYSTEM WITH IMPROPER INTEGRAL BOUNDARY CONDITIONS ON THE HALF-LINE[J]. Journal of Applied Analysis & Computation, 2026, 16(1): 396-425. doi: 10.11948/20250110

Citation:

Minghui Liu, Jiqiang Jiang. EXISTENCE OF POSITIVE SOLUTIONS FOR COUPLED FRACTIONAL DIFFERENTIAL SYSTEM WITH IMPROPER INTEGRAL BOUNDARY CONDITIONS ON THE HALF-LINE[J]. Journal of Applied Analysis & Computation, 2026, 16(1): 396-425. doi: 10.11948/20250110

EXISTENCE OF POSITIVE SOLUTIONS FOR COUPLED FRACTIONAL DIFFERENTIAL SYSTEM WITH IMPROPER INTEGRAL BOUNDARY CONDITIONS ON THE HALF-LINE

Minghui Liu^1,,
Jiqiang Jiang^1, ,

1.
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China

Author Bio: Email: minghuiliu11@163.com(M. Liu)
Corresponding author: Email: qfjjq@163.com, qfjjq@qfnu.edu.cn(J. Jiang)

Abstract

Abstract

This article is devoted to proving the existence of positive solutions for a class of coupled fractional boundary value problems involving an improper integral and the infinite-point on the half-line. By making use of the monotone iterative technique along with Banach's contraction mapping principle, some explicit monotone iterative sequences for approximating the extreme positive solutions and the unique positive solution for the problem are constructed, an error estimate formula of the positive solution is also given. In the end, a numerical simulation is given to illustrate the main results.
- Monotone iterative technique /
- fractional differential equation /
- improper integral /
- infinite interval /
- numerical simulation
MSC: 26A33, 34A08, 34A34, 34B10, 34B15, 34B18, 34B40

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References

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