Analytical and Numerical Analysis of a Memory-Dependent Fractional Model for Behavioral Learning Dynamics

Citation

Turab, Ali and Nescolarde-Selva, Josué-Antonio and Ali, Wajahat and Montoyo, Andrés and Tiang, Jun Jiat (2025) Analytical and Numerical Analysis of a Memory-Dependent Fractional Model for Behavioral Learning Dynamics. Fractal and Fractional, 9 (11). p. 710. ISSN 2504-3110

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Abstract

Fractional differential equations offer a natural framework for describing systems in which present states are influenced by the past. This work presents a nonlinear Caputo-type fractional differential equation (FDE) with a nonlocal initial condition and attempts to describe a model of memory-dependent behavioral adaptation. The proposed framework uses a fractional-order derivative

Item Type: Article
Uncontrolled Keywords: fractional differential equations; fixed point theory; memory-dependent dynamics; behavioral modeling; Ulam–Hyers stability
Subjects: Q Science > QA Mathematics > QA71-90 Instruments and machines
Divisions: Faculty of Artificial Intelligence & Engineering (FAIE)
Depositing User: Ms Suzilawati Abu Samah
Date Deposited: 12 Dec 2025 01:09
Last Modified: 12 Dec 2025 01:09
URII: http://shdl.mmu.edu.my/id/eprint/15067

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