Preface: Special issue on recent advances in nonlinear dynamics and modelling

Zakia Hammouch, Dumitru Baleanu and Said Melliani

Oscillation criteria for kernel function dependent fractional dynamic equations
Bahaaeldin Abdalla and Thabet Abdeljawad

Applying quantum calculus for the existence of solution of $q$-integro-differential equations with three criteria
Thabet Abdeljawad and Mohammad Esmael Samei

Mathematical modelling of cytosolic calcium concentration distribution using non-local fractional operator
Ritu Agarwal, Kritika, Sunil Dutt Purohit and Devendra Kumar

Analysis and new applications of fractal fractional differential equations with power law kernel
Ali Akgül

Androgen driven evolutionary population dynamics in prostate cancer growth
Ebraheem O. Alzahrani and Muhammad Altaf Khan

On solutions of fractal fractional differential equations
Abdon Atangana and Ali Akgül

Computational and numerical simulations for the deoxyribonucleic acid (DNA) model
Raghda A. M. Attia, Dumitru Baleanu, Dianchen Lu, Mostafa M. A. Khater and El-Sayed Ahmed

On a nonlocal problem involving the fractional $p(x,.)$-Laplacian satisfying Cerami condition
Elhoussine Azroul, Abdelmoujib Benkirane and and Mohammed Shimi

Nonlinear singular $p$-Laplacian boundary value problems in the frame of conformable derivative
Mokhtar Bouloudene, Manar A. Alqudah, Fahd Jarad, Yassine Adjabi and Thabet Abdeljawad

On the fuzzy stability results for fractional stochastic Volterra integral equation
Reza Chaharpashlou, Abdon Atangana and Reza Saadati

Stability analysis of a general HIV dynamics model with multi-stages of infected cells and two routes of infection
A. M. Elaiw, N. H. AlShamrani, A. Abdel-Aty and H. Dutta

Application of Caputo-Fabrizio derivative to a cancer model with unknown parameters
M. M. El-Dessoky and Muhammad Altaf Khan

An efficient numerical method for fractional model of allelopathic stimulatory phytoplankton species with Mittag-Leffler law
Behzad Ghanbari, Devendra Kumar and Jagdev Singh

Analytical study of fractional nonlinear Schrödinger equation with harmonic oscillator
Amit Goswami, Sushila Rathore, Jagdev Singh and Devendra Kumar

Solving a class of biological HIV infection model of latently infected cells using heuristic approach
Yolanda Guerrero–Sánchez, Muhammad Umar, Zulqurnain Sabir, Juan L. G. Guirao and Muhammad Asif Zahoor Raja

Pata type contractions involving rational expressions with an application to integral equations
Erdal Karapnar, Abdon Atangana and Andreea Fulga

Feedback stabilization of bilinear coupled hyperbolic systems
Ilyasse Lamrani, Imad El Harraki, Ali Boutoulout and Fatima-Zahrae El Alaoui

Asymptotic behaviors of solution to partial differential equation with Caputo–Hadamard derivative and fractional Laplacian: Hyperbolic case
Changpin Li and Zhiqiang Li

Numerical simulation of the nonlinear fractional regularized long-wave model arising in ion acoustic plasma waves
Omid Nikan, Seyedeh Mahboubeh Molavi-Arabshai and Hossein Jafari

Some new bounds analogous to generalized proportional fractional integral operator with respect to another function
Saima Rashid, Fahd Jarad and Zakia Hammouch

Comprehensive analysis of integer-order, Caputo-Fabrizio (CF) and Atangana-Baleanu (ABC) fractional time derivative for MHD Oldroyd-B fluid with slip effect and time dependent boundary condition
Muhammad Bilal Riaz and Syed Tauseef Saeed

Solving fractional Advection-diffusion equation using Genocchi operational matrix based on Atangana-Baleanu derivative
S. Sadeghi, H. Jafari and S. Nemati

A robust computational framework for analyzing fractional dynamical systems
Khosro Sayevand and Valeyollah Moradi

Oscillatory states and patterns formation in a two-cell cubic autocatalytic reaction-diffusion model subjected to the Dirichlet conditions
H. M. Srivastava, H. I. Abdel-Gawad and Khaled Mohammed Saad

Class of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function
Dayalal Suthar, Sunil Dutt Purohit, Haile Habenom and Jagdev Singh

Existence and nonexistence of entire positive radial solutions for a class of Schrödinger elliptic systems involving a nonlinear operator
Zedong Yang, Guotao Wang, Ravi P. Agarwal and Haiyong Xu

On the observability of conformable linear time-invariant control systems
Awais Younus, Zoubia Dastgeer, Nudrat Ishaq, Abdul Ghaffar, Kottakkaran Sooppy Nisar and Devendra Kumar

Radial symmetry for logarithmic Choquard equation involving a generalized tempered fractional $p$-Laplacian
Lihong Zhang, Wenwen Hou, Bashir Ahmad and Guotao Wang