EPJ Special Topics (EPJ ST)

Open Access

Editorial

Recent advancement of fractional calculus and its applications in physical systems

Salah Boulaaras, Rashid Jan and Viet-Thanh Pham

Published online: 30 October 2023

DOI: 10.1140/epjs/s11734-023-01002-4

Regular Article

Quadratic and cubic logistic models involving Caputo–Fabrizio operator

Sara Al Fahel, Dumitru Baleanu, Qasem M. Al-Mdallal and Khaled M. Saad

Published online: 26 July 2023

DOI: 10.1140/epjs/s11734-023-00935-0

Regular Article

Stability analysis of Hilfer fractional-order differential equations

Abhiram Hegade and Sachin Bhalekar

Published online: 22 August 2023

DOI: 10.1140/epjs/s11734-023-00960-z

Regular Article

Modeling and analysis of an implicit fractional order differential equation with multiple first-order fractional derivatives and non-local boundary conditions

Ghaus ur Rahman, J. F. Gómez-Aguilar and Dildar Ahmad

Published online: 04 September 2023

DOI: 10.1140/epjs/s11734-023-00961-y

Regular Article

From Lozi map to fractional memristive Lozi map

Amina Aicha Khennaoui, Viet-Thanh Pham, Vo Phu Thoai, Adel Ouannas, Giuseppe Grassi and Shaher Momani

Published online: 20 July 2023

DOI: 10.1140/epjs/s11734-023-00911-8

Regular Article

A new fractional-order 3-D jerk chaotic system with no equilibrium point and its bifurcation analysis

Sundarapandian Vaidyanathan, Shaobo He, Esteban Tlelo-Cuautle and Brisbane Ovilla-Martinez

Published online: 21 July 2023

DOI: 10.1140/epjs/s11734-023-00936-z

Regular Article

Optimal synchronization of fractal–fractional differentials on chaotic convection for Newtonian and non-Newtonian fluids

Kashif Ali Abro, Abdon Atangana and J. F. Gomez-Aguilar

Published online: 26 July 2023

DOI: 10.1140/epjs/s11734-023-00913-6

Regular Article

Multistability, coexisting behaviours and control of fractional order dissipative small scale grid with disturbances and noise

Prakash Chandra Gupta and Piyush Pratap Singh

Published online: 26 July 2023

DOI: 10.1140/epjs/s11734-023-00927-0

Regular Article

A practical observer for state and sensor fault reconstruction of a class of fractional‐order nonlinear systems

Hassen Ahmed, Assaad Jmal and Abdellatif Ben Makhlouf

Published online: 26 July 2023

DOI: 10.1140/epjs/s11734-023-00938-x

Open Access

Regular Article

The dynamic analysis of discrete fractional-order two-gene map

Rajeshkanna Subramani, Hayder Natiq, Karthikeyan Rajagopal, Ondrej Krejcar and Hamidreza Namazi

Published online: 31 July 2023

DOI: 10.1140/epjs/s11734-023-00912-7

Regular Article

The impact of media awareness on a fractional-order SEIR epidemic model with optimal treatment and vaccination

Suvankar Majee, Snehasis Barman, Anupam Khatua, T. K. Kar and Soovoojeet Jana

Published online: 26 July 2023

DOI: 10.1140/epjs/s11734-023-00910-9

Regular Article

SEIR model for COVID-19: stability of the standard coronavirus factor and control mechanism

Salah Boulaaras, Ramesh Ramalingam and Arul Joseph Gnanaprakasam

Published online: 26 July 2023

DOI: 10.1140/epjs/s11734-023-00915-4

Regular Article

Dynamical analysis, infections in plants, and preventive policies utilizing the theory of fractional calculus

Asif Jan, Salah Boulaaras, Farah Aini Abdullah and Rashid Jan

Published online: 31 July 2023

DOI: 10.1140/epjs/s11734-023-00926-1

Regular Article

Chaotic dynamics in a non-linear tumor-immune model with Caputo–Fabrizio fractional operator

Amir Ali, Saad Althobaiti, Ali Althobaiti, Khalid Khan and Rashid Jan

Published online: 22 August 2023

DOI: 10.1140/epjs/s11734-023-00929-y

Open Access

Regular Article

EM wave propagation within plasma-filled rectangular waveguide using fractional space and LFD

A. Refaie Ali, N. T. M. Eldabe, A. E. H. Abd El Naby, M. Ibrahim and O. M. Abo-Seida

Published online: 03 August 2023

DOI: 10.1140/epjs/s11734-023-00934-1

Regular Article

A chaotic Hartley oscillator with fractional-order JFET and its network behaviors

Sathiyadevi Kanagaraj, Sishu Shankar Muni, Anitha Karthikeyan and Karthikeyan Rajagopal

Published online: 28 July 2023

DOI: 10.1140/epjs/s11734-023-00940-3

Regular Article

A time-fractional of a viscoelastic frictionless contact problem with normal compliance

Mustapha Bouallala, E. L.-Hassan Essoufi, Van Thien Nguyen and Wei Pang

Published online: 14 September 2023

DOI: 10.1140/epjs/s11734-023-00962-x

Regular Article

Super extreme multistability in a two-dimensional fractional-order forced neural model

Balakrishnan Sriram, Fatemeh Parastesh, Hayder Natiq, Karthikeyan Rajagopal and Sajad Jafari

Published online: 02 August 2023

DOI: 10.1140/epjs/s11734-023-00914-5

Regular Article

Dynamical analysis of fractional-order Burger–Huxley equation using efficient numerical methods

Sonal Jain and Abedallah Rababah

Published online: 02 August 2023

DOI: 10.1140/epjs/s11734-023-00916-3

Regular Article

Wind energy potential evaluation. case of study: Constantine, an Algerian Province

Khaled Mahdi and Nadir Bellel

Published online: 26 July 2023

DOI: 10.1140/epjs/s11734-023-00932-3

Regular Article

Analytic solutions to the fractional kinetic equation involving the generalized Mittag-Leffler function using the degenerate Laplace type integral approach

Yahya Almalki and Mohamed Abdalla

Published online: 02 August 2023

DOI: 10.1140/epjs/s11734-023-00925-2

Regular Article

Application of efficient hybrid local meshless method for the numerical simulation of time-fractional PDEs arising in mathematical physics and finance

Hanaa Abu-Zinadah, M. D. Alsulami and Hijaz Ahmad

Published online: 31 July 2023

DOI: 10.1140/epjs/s11734-023-00946-x

Regular Article

Stability analysis and error estimates of local discontinuous Galerkin method for nonlinear fractional Ginzburg–Landau equation with the fractional Laplacian

Tarek Aboelenen and Mohammed Alqawba

Published online: 27 July 2023

DOI: 10.1140/epjs/s11734-023-00921-6

Regular Article

Pantographic formulation of a nonlinear system of fractional order with delays and examination of its controllability

Irshad Ahmad, Saeed Ahmad, Ghaus ur Rahman, Yeliz Karaca and Mati ur Rahman

Published online: 31 July 2023

DOI: 10.1140/epjs/s11734-023-00939-w

Regular Article

Explicit impacts of harvesting on a fractional-order delayed predator–prey model

Bidhan Bhunia, Lakpa Thendup Bhutia, Tapan Kumar Kar and Papiya Debnath

Published online: 28 July 2023

DOI: 10.1140/epjs/s11734-023-00941-2

Regular Article

Transmission dynamics of a novel fractional model for the Marburg virus and recommended actions

Jaskirat Pal Singh, Thabet Abdeljawad, Dumitru Baleanu and Sachin Kumar

Published online: 02 August 2023

DOI: 10.1140/epjs/s11734-023-00943-0

Regular Article

Unveiling the spread of epidemics involving partial immunity and reinfection: insights from a time-delayed mathematical model

B. Krithika and P. Tamilalagan

Published online: 22 September 2023

DOI: 10.1140/epjs/s11734-023-00995-2

Regular Article

Chaotic dynamics of fractional difference magnetic levitation model with application to image encryption

D. Vignesh, Shaobo He and N. A. A. Fataf

Published online: 02 August 2023

DOI: 10.1140/epjs/s11734-023-00917-2

EPJ

The European Physical Journal Special Topics

Recent Advancement of Fractional-Calculus and Its Applications in Physical Systems

Recent advancement of fractional calculus and its applications in physical systems

Quadratic and cubic logistic models involving Caputo–Fabrizio operator

Stability analysis of Hilfer fractional-order differential equations

Modeling and analysis of an implicit fractional order differential equation with multiple first-order fractional derivatives and non-local boundary conditions

From Lozi map to fractional memristive Lozi map

A new fractional-order 3-D jerk chaotic system with no equilibrium point and its bifurcation analysis

Optimal synchronization of fractal–fractional differentials on chaotic convection for Newtonian and non-Newtonian fluids

Multistability, coexisting behaviours and control of fractional order dissipative small scale grid with disturbances and noise

A practical observer for state and sensor fault reconstruction of a class of fractional‐order nonlinear systems

The dynamic analysis of discrete fractional-order two-gene map

The impact of media awareness on a fractional-order SEIR epidemic model with optimal treatment and vaccination

SEIR model for COVID-19: stability of the standard coronavirus factor and control mechanism

Dynamical analysis, infections in plants, and preventive policies utilizing the theory of fractional calculus

Chaotic dynamics in a non-linear tumor-immune model with Caputo–Fabrizio fractional operator

EM wave propagation within plasma-filled rectangular waveguide using fractional space and LFD

A chaotic Hartley oscillator with fractional-order JFET and its network behaviors

A time-fractional of a viscoelastic frictionless contact problem with normal compliance

Super extreme multistability in a two-dimensional fractional-order forced neural model

Dynamical analysis of fractional-order Burger–Huxley equation using efficient numerical methods

Wind energy potential evaluation. case of study: Constantine, an Algerian Province

Analytic solutions to the fractional kinetic equation involving the generalized Mittag-Leffler function using the degenerate Laplace type integral approach

Application of efficient hybrid local meshless method for the numerical simulation of time-fractional PDEs arising in mathematical physics and finance

Stability analysis and error estimates of local discontinuous Galerkin method for nonlinear fractional Ginzburg–Landau equation with the fractional Laplacian

Pantographic formulation of a nonlinear system of fractional order with delays and examination of its controllability

Explicit impacts of harvesting on a fractional-order delayed predator–prey model

Transmission dynamics of a novel fractional model for the Marburg virus and recommended actions

Unveiling the spread of epidemics involving partial immunity and reinfection: insights from a time-delayed mathematical model

Chaotic dynamics of fractional difference magnetic levitation model with application to image encryption

Conference announcements