Citation

Turab, Ali and Nescolarde-Selva, Josué-Antonio and Ali, Wajahat and Montoyo, Andrés and Tiang, Jun Jiat (2025) Computational and Parameter-Sensitivity Analysis of Dual-Order Memory-Driven Fractional Differential Equations with an Application to Animal Learning. Fractal and Fractional, 9 (10). p. 664. ISSN 2504-3110

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Abstract

Fractional differential equations are used to model complex systems where present dynamics depend on past states. In this work, we study a linear fractional model with two Caputo orders that captures long-term memory together with short-term adaptation. The existence and uniqueness of solutions are established using Banach and Krasnoselskii’s fixed-point theorems. A parameter study isolates the roles of the fractional orders and coefficients, yielding an explicit stability region in the (

Item Type:	Article
Uncontrolled Keywords:	fractional differential equations, analytical solutions, numerical computations, stability analysis, animal learning models
Subjects:	Q Science > QA Mathematics > QA71-90 Instruments and machines > QA75.5-76.95 Electronic computers. Computer science
Divisions:	Faculty of Artificial Intelligence & Engineering (FAIE)
Depositing User:	Nurin Syazwani Azmi
Date Deposited:	10 Nov 2025 00:55
Last Modified:	10 Nov 2025 03:16
URII:	http://shdl.mmu.edu.my/id/eprint/14793

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