Some properties of solutions of α-conformable differential equations with piecewise constant arguments: existence and uniqueness, asymptotic stability, oscillation and periodicity
DOI: https://doi.org/10.3846/mma.2025.22406Abstract
Conformable differential equations, based on the recently introduced conformable derivative, represent a novel and increasingly popular class of differential equations. This framework offers significant advantages over traditional models, particularly due to its simplicity and enhanced flexibility in modeling diverse phenomena. In this paper, we examine conformable differential equations with piecewise constant arguments. We establish the existence and uniqueness of solutions for these equations and derive conditions for oscillatory behavior, convergence, and periodicity. Additionally, we provide numerical examples to support and illustrate the theoretical results.
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Conformable derivative,, piecewise constant arguments, oscillatory solution, convergency, periodic solutionHow to Cite
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