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- Title
On Stability of Second Order Pantograph Fractional Differential Equations in Weighted Banach Space.
- Authors
Dida, Ridha; Boulares, Hamid; Moumen, Abdelkader; Alzabut, Jehad; Bouye, Mohamed; Laskri, Yamina
- Abstract
This 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.
- Subjects
BANACH spaces; PANTOGRAPH
- Publication
Fractal & Fractional, 2023, Vol 7, Issue 7, p560
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract7070560