Nguyen Dinh Cong, Thai Son Doan, Hoang The Tuan
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.
Submitted March 17, 2017. Published Jun 17, 2017.
Math Subject Classifications: 26A33, 34A08, 34A30, 34E10.
Key Words: Fractional differential equations; linear systems; bounded solutions;
Perron-type theorem; asymptotic behavior.
Show me the PDF file (239 KB), TEX file for this article.
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Nguyen Dinh Cong Institute of Mathematics Vietnam Academy of Science and Technology 18 Hoang Quoc Viet, 10307 Ha Noi, Viet Nam email: ndcong@math.ac.vn |
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Thai Son Doan Institute of Mathematics Vietnam Academy of Science and Technology 18 Hoang Quoc Viet, 10307 Ha Noi, Viet Nam email: dtson@math.ac.vn |
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Hoang The Tuan Institute of Mathematics Vietnam Academy of Science and Technology 18 Hoang Quoc Viet, 10307 Ha Noi, Viet Nam email: httuan@math.ac.vn |
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