Stability and Stabilization for a Class of Semilinear Fractional Differential Systems

Joint Authors

Zhang, Zhengdi
Ibrahim, Badawi Hamza Elbadawi
Dong, Qixiang

Source

Journal of Function Spaces

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-03-30

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

This paper considers a class of semilinear fractional-order systems with Caputo derivative.

New conditions ensuring asymptotic stability and stabilization of fractional systems with the fractional order between 0 and 2 are proposed.

The analysis is based on a property of convolution and asymptotic properties of Mittag-Leffler functions.

Some numerical examples are provided to illustrate the feasibility and validity of the proposed approach.

American Psychological Association (APA)

Ibrahim, Badawi Hamza Elbadawi& Dong, Qixiang& Zhang, Zhengdi. 2020. Stability and Stabilization for a Class of Semilinear Fractional Differential Systems. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1185358

Modern Language Association (MLA)

Ibrahim, Badawi Hamza Elbadawi…[et al.]. Stability and Stabilization for a Class of Semilinear Fractional Differential Systems. Journal of Function Spaces No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1185358

American Medical Association (AMA)

Ibrahim, Badawi Hamza Elbadawi& Dong, Qixiang& Zhang, Zhengdi. Stability and Stabilization for a Class of Semilinear Fractional Differential Systems. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1185358

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1185358