Asymptotic behavior of solutions of linear multi-order fractional differential systems
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existence and uniqueness for multi-order fractional differential equation systems. Next, a representation of solutions of homogeneous linear multi-order fractional differential equation systems in series form is provided. Finally, we give characteristics regarding the asymptotic behavior of solutions to some classes of linear multi-order fractional differential equation systems.
Details
| Original language | English |
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| Pages (from-to) | 1165-1195 |
| Number of pages | 31 |
| Journal | Fractional Calculus and Applied Analysis |
| Volume | 20 |
| Issue number | 5 |
| Publication status | Published - 26 Oct 2017 |
| Peer-reviewed | Yes |
External IDs
| ORCID | /0000-0003-0967-6747/work/213148725 |
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Keywords
ASJC Scopus subject areas
Keywords
- asymptotic behaviour of solutions, Caputo derivative, existence and uniqueness, fractional differential equation, multi-order system