LASKRI Yamina (Co-Auteur)2025-09-172025-09-172023http://41.111.199.50:4000/handle/123456789/8542023, 7, 560 https://doi.org/10.3390/fractalfract7070560This work investigates a weighted Banach space second order pantograph fractional differential equation. The considered equation is of second order, expressed in terms of the Caputo–Hadamard fractional operator, and constructed in a general manner to accommodate many specific situations. The asymptotic stability of the main equation’s trivial solution has been given. The primary theorem was demonstrated in a unique manner by employing the Krasnoselskii’s fixed point theorem. We provide a concrete example that supports the theoretical findings.enCaputo–Hadamard fractional derivativepantograph fractional differential equationsKrasnoselskii’s fixed point theoremasymptotic stabilityArticle