EPJ Special Topics (EPJ ST)

Open Access

Editorial

Application of variable-order fractional calculus in neural networks: where do we stand?

Amin Yousefpour, Hadi Jahanshahi and Oscar Castillo

Published online: 25 July 2022

DOI: 10.1140/epjs/s11734-022-00625-3

Regular Article

On the dynamical investigation and synchronization of variable-order fractional neural networks: the Hopfield-like neural network model

Hadi Jahanshahi, Ernesto Zambrano-Serrano, Stelios Bekiros, Zhouchao Wei, Christos Volos, Oscar Castillo and Ayman A. Aly

Published online: 27 January 2022

DOI: 10.1140/epjs/s11734-022-00450-8

Regular Article

Dynamics and synchronization of a fractional conformable neural network with power-law

A. Coronel-Escamilla, J. E. Solís-Pérez, J. F. Gómez-Aguilar, José R. Razo-Hernández, A. A. Alderremy and Shaban Aly

Published online: 03 February 2022

DOI: 10.1140/epjs/s11734-022-00465-1

Regular Article

On the boundedness and Lagrange stability of fractional-like neural network-based quasilinear systems

Anatoliy Martynyuk, Ivanka Stamova and Yuliya A. Martynyuk-Chernienko

Published online: 25 January 2022

DOI: 10.1140/epjs/s11734-022-00447-3

Regular Article

Anti-synchronization of a M-Hopfield neural network with generalized hyperbolic tangent activation function

E. Viera-Martin, J. F. Gómez-Aguilar, J. E. Solís-Pérez, J. A. Hernández-Pérez and V. H. Olivares-Peregrino

Published online: 29 January 2022

DOI: 10.1140/epjs/s11734-022-00456-2

Regular Article

Chaotic fractional discrete neural networks based on the Caputo h-difference operator: stabilization and linear control laws for synchronization

Ahlem Gasri, Adel Ouannas, Amina Aicha Khennaoui, Giuseppe Grassi, Taki-Eddine Oussaeif and Viet-Thanh Pham

Published online: 29 January 2022

DOI: 10.1140/epjs/s11734-022-00442-8

Regular Article

Applications of neural networks for the novel designed of nonlinear fractional seventh order singular system

Zulqurnain Sabir, Muhammad Asif Zahoor Raja, Tri Gia Nguyen, Irwan Fathurrochman, R. Sadat and Mohamed R. Ali

Published online: 03 February 2022

DOI: 10.1140/epjs/s11734-022-00457-1

Regular Article

A 4D hyperchaotic Lorenz-type system: zero-Hopf bifurcation, ultimate bound estimation, and its variable-order fractional network

Yuxi Li, Zhouchao Wei and Ayman A. Aly

Published online: 25 January 2022

DOI: 10.1140/epjs/s11734-022-00448-2

Open Access

Regular Article

Impact of information intervention on stochastic hepatitis B model and its variable-order fractional network

Anwarud Din, Yongjin Li, Abdullahi Yusuf, Jinping Liu and Ayman A. Aly

Published online: 04 February 2022

DOI: 10.1140/epjs/s11734-022-00453-5

Regular Article

Application of long short-term memory neural network and optimal control to variable-order fractional model of HIV/AIDS

Amirreza Yasami, Alireza Beigi and Amin Yousefpour

Published online: 31 May 2022

DOI: 10.1140/epjs/s11734-022-00608-4

Open Access

Regular Article

A study on fractional HBV model through singular and non-singular derivatives

Sunil Kumar, R. P. Chauhan, Ayman A. Aly, Shaher Momani and Samir Hadid

Published online: 02 March 2022

DOI: 10.1140/epjs/s11734-022-00460-6

Open Access

Regular Article

A mathematical model for SARS-CoV-2 in variable-order fractional derivative

Mahmoud H. DarAssi, Mohammad A. Safi, Muhammad Altaf Khan, Alireza Beigi, Ayman A. Aly and Mohammad Y. Alshahrani

Published online: 03 February 2022

DOI: 10.1140/epjs/s11734-022-00458-0

Open Access

Regular Article

Effect of an antiviral drug control and its variable order fractional network in host COVID-19 kinetics

Bo Wang, Jayanta Mondal, Piu Samui, Amar Nath Chatterjee and Abdullahi Yusuf

Published online: 01 February 2022

DOI: 10.1140/epjs/s11734-022-00454-4

Regular Article

Non-integer order chaotic systems: numerical analysis and their synchronization scheme via M-backstepping technique

J. E. Solís-Pérez, J. Betancourt-Vera, J. F. Gómez-Aguilar, A. A. Alderremy and Shaban Aly

Published online: 16 February 2022

DOI: 10.1140/epjs/s11734-022-00468-y

Regular Article

Digital circuit implementation and PRNG-based data security application of variable-order fractional Hopfield neural network under electromagnetic radiation using Grünwald-Letnikov method

Sezgin Kaçar

Published online: 06 February 2022

DOI: 10.1140/epjs/s11734-022-00451-7

Regular Article

FS-DeblurGAN: a spatiotemporal deblurring method for zinc froth flotation

Wenhui Xiao, Zhaohui Tang, Jin Luo and Jinping Liu

Published online: 05 February 2022

DOI: 10.1140/epjs/s11734-022-00459-z

Open Access

Regular Article

Novel compressive sensing image encryption using the dynamics of an adjustable gradient Hopfield neural network

Sami Doubla Isaac, Zeric Tabekoueng Njitacke, Nestor Tsafack, Christian Tchito Tchapga and Jacques Kengne

Published online: 14 February 2022

DOI: 10.1140/epjs/s11734-022-00472-2

Regular Article

S-Box-based video stenography application of variable-order fractional hopfield neural network (VFHNN)

Ünal Çavuşoğlu

Published online: 28 January 2022

DOI: 10.1140/epjs/s11734-022-00449-1

Open Access

Regular Article

Optimization of fractional-order chaotic cellular neural networks by metaheuristics

Esteban Tlelo-Cuautle, Astrid Maritza González-Zapata, Jonathan Daniel Díaz-Muñoz, Luis Gerardo de la Fraga and Israel Cruz-Vega

Published online: 21 January 2022

DOI: 10.1140/epjs/s11734-022-00452-6

Regular Article

On the development of an intelligent controller for neural networks: a type 2 fuzzy and chatter-free approach for variable-order fractional cases

Amin Yousefpour, Amirreza Yasami, Alireza Beigi and Jinping Liu

Published online: 27 June 2022

DOI: 10.1140/epjs/s11734-022-00612-8

Open Access

Regular Article

Artificial neural networks: a practical review of applications involving fractional calculus

E. Viera-Martin, J. F. Gómez-Aguilar, J. E. Solís-Pérez, J. A. Hernández-Pérez and R. F. Escobar-Jiménez

Published online: 12 February 2022

DOI: 10.1140/epjs/s11734-022-00455-3

EPJ

The European Physical Journal Special Topics

Chaotic Variable-Order Fractional Neural Networks

Application of variable-order fractional calculus in neural networks: where do we stand?

On the dynamical investigation and synchronization of variable-order fractional neural networks: the Hopfield-like neural network model

Dynamics and synchronization of a fractional conformable neural network with power-law

On the boundedness and Lagrange stability of fractional-like neural network-based quasilinear systems

Anti-synchronization of a M-Hopfield neural network with generalized hyperbolic tangent activation function

Chaotic fractional discrete neural networks based on the Caputo h-difference operator: stabilization and linear control laws for synchronization

Applications of neural networks for the novel designed of nonlinear fractional seventh order singular system

A 4D hyperchaotic Lorenz-type system: zero-Hopf bifurcation, ultimate bound estimation, and its variable-order fractional network

Impact of information intervention on stochastic hepatitis B model and its variable-order fractional network

Application of long short-term memory neural network and optimal control to variable-order fractional model of HIV/AIDS

A study on fractional HBV model through singular and non-singular derivatives

A mathematical model for SARS-CoV-2 in variable-order fractional derivative

Effect of an antiviral drug control and its variable order fractional network in host COVID-19 kinetics

Non-integer order chaotic systems: numerical analysis and their synchronization scheme via M-backstepping technique

Digital circuit implementation and PRNG-based data security application of variable-order fractional Hopfield neural network under electromagnetic radiation using Grünwald-Letnikov method

FS-DeblurGAN: a spatiotemporal deblurring method for zinc froth flotation

Novel compressive sensing image encryption using the dynamics of an adjustable gradient Hopfield neural network

S-Box-based video stenography application of variable-order fractional hopfield neural network (VFHNN)

Optimization of fractional-order chaotic cellular neural networks by metaheuristics

On the development of an intelligent controller for neural networks: a type 2 fuzzy and chatter-free approach for variable-order fractional cases

Artificial neural networks: a practical review of applications involving fractional calculus

Conference announcements