THE BOUNDEDNESS FOR SOLUTIONS OF A CERTAIN TWO-DIMENSIONAL FRACTIONAL DIFFERENTIAL SYSTEM WITH DELAY

Yue Yang; Fanwei Meng

doi:10.11948/20190325

2020 Volume 10 Issue 5

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Yue Yang, Fanwei Meng. THE BOUNDEDNESS FOR SOLUTIONS OF A CERTAIN TWO-DIMENSIONAL FRACTIONAL DIFFERENTIAL SYSTEM WITH DELAY[J]. Journal of Applied Analysis & Computation, 2020, 10(5): 2068-2084. doi: 10.11948/20190325

Citation:

Yue Yang, Fanwei Meng. THE BOUNDEDNESS FOR SOLUTIONS OF A CERTAIN TWO-DIMENSIONAL FRACTIONAL DIFFERENTIAL SYSTEM WITH DELAY[J]. Journal of Applied Analysis & Computation, 2020, 10(5): 2068-2084. doi: 10.11948/20190325

THE BOUNDEDNESS FOR SOLUTIONS OF A CERTAIN TWO-DIMENSIONAL FRACTIONAL DIFFERENTIAL SYSTEM WITH DELAY

Yue Yang¹,
Fanwei Meng^1, ,

1.
School of Mathematical Sciences, Qufu Normal University, Jing-xuan West Road, 273165, China

Corresponding author: Email address:fwmeng@qfnu.edu.cn(F. Meng)
Fund Project: The authors were supported by National Natural Science Foundation of China (Grant 11671227) and National Science Foundation of Shandong Province (Grant ZR2019MA034)

Abstract

Abstract

In this paper, we study the components-wise upper bounds for solutions of two-dimensional fractional differential system with delay. Prior to the main results, we derive some results on two-dimensional nonlinear integral inequalities, then we investigate upper bounds of solutions basing on the obtained inequalities, finally, an example is given to illustrate the theoretical results.
- Fractional differential system /
- delay /
- integral inequality /
- components-wise upper bounds

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References

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