EXISTENCE AND STABILITY OF SOLUTIONS FOR HADAMARD TYPE FRACTIONAL DIFFERENTIAL SYSTEM ON BENZENE GRAPHS

Yunzhe Zhang; Youhui Su; Yongzhen Yun

doi:10.11948/20240544

2025 Volume 15 Issue 5

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Yunzhe Zhang, Youhui Su, Yongzhen Yun. EXISTENCE AND STABILITY OF SOLUTIONS FOR HADAMARD TYPE FRACTIONAL DIFFERENTIAL SYSTEM ON BENZENE GRAPHS[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 3067-3094. doi: 10.11948/20240544

Citation:

Yunzhe Zhang, Youhui Su, Yongzhen Yun. EXISTENCE AND STABILITY OF SOLUTIONS FOR HADAMARD TYPE FRACTIONAL DIFFERENTIAL SYSTEM ON BENZENE GRAPHS[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 3067-3094. doi: 10.11948/20240544

EXISTENCE AND STABILITY OF SOLUTIONS FOR HADAMARD TYPE FRACTIONAL DIFFERENTIAL SYSTEM ON BENZENE GRAPHS

1.
School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, China
2.
College of science, Shenyang University of Technology, Shenyang 110870, China

Author Bio: Email: 18015151008@163.com(Y. Zhang); Email: yongzhen0614@163.com(Y. Yun)
Corresponding author: Email: suyh02@163.com(Y. Su)
Fund Project: The authors were supported by the Xuzhou Science and Technology Plan Project (KC23058), the Natural Science Foundation of Xinjiang Uygur Autonomous Region(2023D01C51) and the Natural Science Research Project of Jiangsu Colleges and Universities (22KJB110026)

Abstract

Abstract

This paper is mainly concerned with the existence of solutions for a class of Hadamard type fractional differential systems on benzene graphs, and the Hyers-Ulam stability of the systems is also proved. Furthermore, an example is presented on a formic acid graph to demonstrate the applicability of the conclusions obtained. The interesting of this paper lies in the integration of fractional differential equations with graph theory, utilizing the formic acid graph as a specific case for numerical simulation, and providing an approximate solution graph after iterations.
- Fractional differential equation /
- benzene graphs /
- Hyers-Ulam stability /
- numerical simulation
MSC: 34A08, 34K37, 34B18

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References

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