Asymptotic constancy for solutions of abstract non-linear fractional equations with delay and generalized Hilfer (a,b,α)-derivatives

Marko Kostić, Halis Can Koyuncuoğlu and Tuğçe Katıcan

Chaos, Solitons & Fractals, 2025, vol. 191, issue C

Abstract: In this paper, we investigate the asymptotic constancy for solutions of abstract non-linear fractional differential (difference) equations with delay and generalized Hilfer (a,b,α)-derivatives. Our results are applicable to the abstract fractional functional equations with the usually considered Riemann–Liouville, Caputo, Hilfer and Prabhakar derivatives.

Keywords: Abstract non-linear fractional differential equations with delay; Abstract non-linear fractional difference equations with delay; Asymptotic behavior of solutions; Generalized Hilfer (a, b, α)-fractional derivatives (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924014863

DOI: 10.1016/j.chaos.2024.115934

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