EPJ Special Topics (EPJ ST)

Open Access

Editorial

Application of variable-order fractional calculus in neural networks: where do we stand? p. 1753

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 p. 1757

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 p. 1771

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 p. 1789

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 p. 1801

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 p. 1815

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 p. 1831

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 p. 1847

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 p. 1859

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 p. 1875

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 p. 1885

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 p. 1905

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 p. 1915

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 p. 1931

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 p. 1969

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 p. 1983

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 p. 1995

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) p. 2017

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 p. 2037

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 p. 2045

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 p. 2059

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

Volume 231 / No 10 (August 2022)

Chaotic Variable-Order Fractional Neural Networks

Chaotic Variable-Order Fractional Neural Networks

Application of variable-order fractional calculus in neural networks: where do we stand? p. 1753

On the dynamical investigation and synchronization of variable-order fractional neural networks: the Hopfield-like neural network model p. 1757

Dynamics and synchronization of a fractional conformable neural network with power-law p. 1771

On the boundedness and Lagrange stability of fractional-like neural network-based quasilinear systems p. 1789

Anti-synchronization of a M-Hopfield neural network with generalized hyperbolic tangent activation function p. 1801

Chaotic fractional discrete neural networks based on the Caputo h-difference operator: stabilization and linear control laws for synchronization p. 1815

Applications of neural networks for the novel designed of nonlinear fractional seventh order singular system p. 1831

A 4D hyperchaotic Lorenz-type system: zero-Hopf bifurcation, ultimate bound estimation, and its variable-order fractional network p. 1847

Impact of information intervention on stochastic hepatitis B model and its variable-order fractional network p. 1859

Application of long short-term memory neural network and optimal control to variable-order fractional model of HIV/AIDS p. 1875

A study on fractional HBV model through singular and non-singular derivatives p. 1885

A mathematical model for SARS-CoV-2 in variable-order fractional derivative p. 1905

Effect of an antiviral drug control and its variable order fractional network in host COVID-19 kinetics p. 1915

Non-integer order chaotic systems: numerical analysis and their synchronization scheme via M-backstepping technique p. 1931

Digital circuit implementation and PRNG-based data security application of variable-order fractional Hopfield neural network under electromagnetic radiation using Grünwald-Letnikov method p. 1969

FS-DeblurGAN: a spatiotemporal deblurring method for zinc froth flotation p. 1983

Novel compressive sensing image encryption using the dynamics of an adjustable gradient Hopfield neural network p. 1995

S-Box-based video stenography application of variable-order fractional hopfield neural network (VFHNN) p. 2017

Optimization of fractional-order chaotic cellular neural networks by metaheuristics p. 2037

On the development of an intelligent controller for neural networks: a type 2 fuzzy and chatter-free approach for variable-order fractional cases p. 2045

Artificial neural networks: a practical review of applications involving fractional calculus p. 2059

Conference announcements

EPJ

The European Physical Journal Special Topics

Volume 231 / No 10 (August 2022)

Chaotic Variable-Order Fractional Neural Networks

Chaotic Variable-Order Fractional Neural Networks

Application of variable-order fractional calculus in neural networks: where do we stand? p. 1753

On the dynamical investigation and synchronization of variable-order fractional neural networks: the Hopfield-like neural network model p. 1757

Dynamics and synchronization of a fractional conformable neural network with power-law p. 1771

On the boundedness and Lagrange stability of fractional-like neural network-based quasilinear systems p. 1789

Anti-synchronization of a M-Hopfield neural network with generalized hyperbolic tangent activation function p. 1801

Chaotic fractional discrete neural networks based on the Caputo h-difference operator: stabilization and linear control laws for synchronization p. 1815

Applications of neural networks for the novel designed of nonlinear fractional seventh order singular system p. 1831

A 4D hyperchaotic Lorenz-type system: zero-Hopf bifurcation, ultimate bound estimation, and its variable-order fractional network p. 1847

Impact of information intervention on stochastic hepatitis B model and its variable-order fractional network p. 1859

Application of long short-term memory neural network and optimal control to variable-order fractional model of HIV/AIDS p. 1875

A study on fractional HBV model through singular and non-singular derivatives p. 1885

A mathematical model for SARS-CoV-2 in variable-order fractional derivative p. 1905

Effect of an antiviral drug control and its variable order fractional network in host COVID-19 kinetics p. 1915

Non-integer order chaotic systems: numerical analysis and their synchronization scheme via M-backstepping technique p. 1931

Digital circuit implementation and PRNG-based data security application of variable-order fractional Hopfield neural network under electromagnetic radiation using Grünwald-Letnikov method p. 1969

FS-DeblurGAN: a spatiotemporal deblurring method for zinc froth flotation p. 1983

Novel compressive sensing image encryption using the dynamics of an adjustable gradient Hopfield neural network p. 1995

S-Box-based video stenography application of variable-order fractional hopfield neural network (VFHNN) p. 2017

Optimization of fractional-order chaotic cellular neural networks by metaheuristics p. 2037

On the development of an intelligent controller for neural networks: a type 2 fuzzy and chatter-free approach for variable-order fractional cases p. 2045

Artificial neural networks: a practical review of applications involving fractional calculus p. 2059

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Conference announcements