A novel two-delayed tri-neuron neural network with an incomplete connection

Kumar, Pushpendra; Lee, Tae H.; Erturk, Vedat Suat

doi:10.1007/s11071-024-10066-3

Nonlinear Dyn

2024

DOI: 10.1007/s11071-024-10066-3

|View full text |Cite

A novel two-delayed tri-neuron neural network with an incomplete connection

Pushpendra Kumar,

Tae H. Lee,

Vedat Suat Erturk

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

A novel numerical method to solve fractional ordinary differential equations with proportional Caputo derivatives

Mahatekar,

Kumar

2024

Phys. Scr.

View full text Add to dashboard Cite

In this paper, we develop a novel numerical scheme, namely ‘NPCM-PCDE,’ to integrate fractional ordinary differential equations with proportional Caputo derivatives of the type pc D α u(t) = f 1(t, u(t)), t ≥ 0, 0 < α < 1 involving a non-linear operator f 1. A new method is developed using a natural discretization of the proportional Caputo derivative and the decomposition method to decompose the non-linear operator f 1. The error and stability analyses for the proposed method are provided. Some illustrated examples are given to compare the solution curves graphically with the exact solution and to prove the utility and efficiency of the method. The proposed NPCM-PCDE is found to be efficient, easy to implement, convergent, and stable.

show abstract

A novel numerical method to solve fractional ordinary differential equations with proportional Caputo derivatives

Mahatekar,

Kumar

2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

A novel two-delayed tri-neuron neural network with an incomplete connection

Cited by 1 publication

References 29 publications

A novel numerical method to solve fractional ordinary differential equations with proportional Caputo derivatives

A novel numerical method to solve fractional ordinary differential equations with proportional Caputo derivatives

Contact Info

Product

Resources

About