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Journal of Applied Nonlinear Dynamics 14(2) (2025) 343--354 | DOI:10.5890/JAND.2025.06.008

Naceur Chegloufa$^{1}$, Belkacem Chaouchi$^{2}$, Fatiha Boutaous$^{1}$, Marko Kosti\'c$^{3}$

$^{1}$ Lab. LAMDA-RO, Department of Mathematics, Faculty of Sciences, Saad Dahlab University, Blida, Algeria

$^{2}$ National higher School of Cybersecurity -Mahelma 16093, Sidi Abdellah, Algeria

$^{3}$ Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovi' ca 6, 21125 Novi Sad, Serbia

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Abstract

The aim of this work is to investigate the existence and uniqueness of $S$-asymptotically Bloch type periodic solutions for a class of the neutral $\psi $-Hilfer fractional derivative equations with infinite delay. Our approach is based on the semigroup theory. In the end, we present an example to illustrate the applications of the abstract results.

References

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