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On uniform stability and numerical simulations of complex valued neural networks involving generalized Caputo fractional order

Sumati Kumari Panda, Thabet Abdeljawad, A. M. Nagy

2024Scientific Reports11 citationsDOIOpen Access PDF

Abstract

The dynamics and existence results of generalized Caputo fractional derivatives have been studied by several authors. Uniform stability and equilibrium in fractional-order neural networks with generalized Caputo derivatives in real-valued settings, however, have not been extensively studied. In contrast to earlier studies, we first investigate the uniform stability and equilibrium results for complex-valued neural networks within the framework of a generalized Caputo fractional derivative. We investigate the intermittent behavior of complex-valued neural networks in generalized Caputo fractional-order contexts. Numerical results are supplied to demonstrate the viability and accuracy of the presented results. At the end of the article, a few open questions are posed.

Topics & Concepts

Stability (learning theory)Fractional calculusArtificial neural networkOrder (exchange)Applied mathematicsMathematicsEquilibrium pointStability theoryComputer scienceMathematical analysisArtificial intelligencePhysicsDifferential equationNonlinear systemMachine learningFinanceQuantum mechanicsEconomicsFractional Differential Equations SolutionsNeural Networks Stability and SynchronizationNonlinear Differential Equations Analysis
On uniform stability and numerical simulations of complex valued neural networks involving generalized Caputo fractional order | Litcius