Nonlinear Fractional Evolution Control Modeling via Power Non-Local Kernels: A Generalization of Caputo–Fabrizio, Atangana–Baleanu, and Hattaf Derivatives

Nonlinear Fractional Evolution Control Modeling via Power Non-Local Kernels: A Generalization of Caputo–Fabrizio, Atangana–Baleanu, and Hattaf Derivatives

This paper presents a novel framework for modeling nonlinear fractional evolution control systems. This framework utilizes a power non-local fractional derivative (PFD), which is a generalized fractional derivative that unifies several well-known derivatives, including Caputo–Fabrizio, Atangana–Bale...

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Bibliographic Details
Main Authors: F. Gassem, Mohammed Almalahi, Osman Osman, Blgys Muflh, Khaled Aldwoah, Alwaleed Kamel, Nidal Eljaneid
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Fractal and Fractional
Subjects:
evolution systems
power non-local kernels
existence of solutions
Hyers–Ulam stability analysis
fractional derivatives
Online Access:https://www.mdpi.com/2504-3110/9/2/104
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