Existence results and Ulam type stability for conformable fractional oscillating system with pure delay

Mengmeng Li and JinRong Wang

Chaos, Solitons & Fractals, 2022, vol. 161, issue C

Abstract: In this paper, we firstly introduce a concept of conformable fractional delayed type matrix Cosine and Sine functions, which help us to construct an exact expression of a solution for the conformable fractional oscillating delay systems (CFODs). Secondly, we show existence and uniqueness of solutions of nonlinear conformable oscillating delay system with using a fixed point theorem. Finally, as an application, this paper is concerned with the Ulam-Hyers stability (UHs) and Ulam-Hyers-Rassias stability (UHRs) of CFODs on finite time interval.

Keywords: Conformable derivatives; Delayed matrices Cosine and Sine; Existence of solution; Ulam-Hyers stability; Ulam-Hyers-Rassias stability (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005276

DOI: 10.1016/j.chaos.2022.112317

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