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

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  • Kostić, Marko
  • Koyuncuoğlu, Halis Can
  • Katıcan, Tuğçe

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.

Suggested Citation

  • Kostić, Marko & Koyuncuoğlu, Halis Can & Katıcan, Tuğçe, 2025. "Asymptotic constancy for solutions of abstract non-linear fractional equations with delay and generalized Hilfer (a,b,α)-derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924014863
    DOI: 10.1016/j.chaos.2024.115934
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    3. Kasinathan, Ramkumar & Kasinathan, Ravikumar & Chalishajar, Dimplekumar & Baleanu, Dumitru & Sandrasekaran, Varshini, 2024. "The averaging principle of Hilfer fractional stochastic pantograph equations with non-Lipschitz conditions," Statistics & Probability Letters, Elsevier, vol. 215(C).
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