Perron-type theorem for fractional differential systems

Date

2017-06-17

Authors

Cong, Nguyen Dinh
Doan, Thai Son
Tuan, Hoang The

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we prove a Perron-type theorem for fractional differential systems. More precisely, we obtain a necessary and sufficient condition for a system of linear inhomogeneous fractional differential equations to have at least one bounded solution for every bounded inhomogeneity.

Description

Keywords

Fractional differential equations, Linear systems, Bounded solutions, Perron-type theorem, Asymptotic behavior

Citation

Cong, N. D., Doan, T. S., & Tuan, H. T. (2017). Perron-type theorem for fractional differential systems. <i>Electronic Journal of Differential Equations, 2017</i>(142), pp. 1-12.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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