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Analyses of solutions of Riemann-Liouville fractional oscillatory differential equations with pure delay
  • Zhenbin Fan,
  • Renjie Pan
Zhenbin Fan
Yangzhou University College of Mathematical Sciences

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Renjie Pan
Yangzhou University College of Mathematical Sciences
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Abstract

This paper firstly finishes off the exact solutions of Riemann-Liouville fractional differential time-delay oscillatory system of order ρ∈(1 ,2) by using two newly defined delayed perturbations of Mittag-Leffler matrix functions and constant variation method. In the light of the exact solutions, we explore the finite time stability of the nonhomogeneous fractional oscillatory differential equations with pure delay. Ultimately, an example is cited to verify the rationality of the results. Through our method, the public problems left by Mahmudov in 2022 were partially solved.
21 Sep 2022Submitted to Mathematical Methods in the Applied Sciences
21 Sep 2022Submission Checks Completed
21 Sep 2022Assigned to Editor
26 Sep 2022Reviewer(s) Assigned
08 Jan 2023Review(s) Completed, Editorial Evaluation Pending
09 Jan 2023Editorial Decision: Revise Minor
16 Jan 20231st Revision Received
20 Jan 2023Assigned to Editor
20 Jan 2023Submission Checks Completed
20 Jan 2023Review(s) Completed, Editorial Evaluation Pending
20 Jan 2023Reviewer(s) Assigned
25 Jan 2023Editorial Decision: Revise Minor
31 Jan 20232nd Revision Received
31 Jan 2023Submission Checks Completed
31 Jan 2023Assigned to Editor
31 Jan 2023Review(s) Completed, Editorial Evaluation Pending
31 Jan 2023Reviewer(s) Assigned
09 Feb 2023Editorial Decision: Accept