On Stability of Second Order Pantograph Fractional Differential Equations in Weighted Banach Space
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Date
2023
Authors
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Publisher
Fractal and Fractional
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.
Description
https://doi.org/10.3390/fractalfract7070560
2023, 7, 560