[HTML][HTML] A semi-relativistic time-fractional Vlasov-Maxwell code for numerical simulation based on circular polarization and symmetric two-stream instability

T Zubair, T Lu, KS Nisar, M Usman - Results in Physics, 2021 - Elsevier
Abstract The “Vlasov-Maxwell system” is a groundbreaking differential procedure to
visualize, model, simulate and further analyze the vigorous performance of plasma …

A novel scheme for time‐fractional semi‐relativistic Vlasov–Maxwell system based on laser‐plasma interaction with linear polarization and Landau damping instability

T Zubair, T Lu, M Usman - Numerical Methods for Partial …, 2023 - Wiley Online Library
Abstract The Vlasov–Maxwell system is a revolutionary tool to model and analyze the
dynamic behavior of the collisionless plasma in the existence of the electromagnetic field. In …

[HTML][HTML] Atangana-Baleanu Caputo fractional-order modeling of plasma particles with circular polarization of LASER light: An extended version of Vlasov-Maxwell …

T Zubair, M Usman, I Khan, MA Almuqrin… - Alexandria Engineering …, 2022 - Elsevier
In this study, we design a specific geometry of plasma particles and further translate it into
mathematical form, ie, formulated time-fractional semi relativistic Vlasov Maxwell system …

Higher dimensional semi-relativistic time-fractional Vlasov-Maxwell code for numerical simulation based on linear polarization and 2D Landau damping instability

T Zubair, T Lu, M Usman - Applied Mathematics and Computation, 2021 - Elsevier
Abstract The “Vlasov-Maxwell system” is a groundbreaking algorithm to model, simulate and
further analyze the vigorous performance of the collisionless plasma in the presence of the …

Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study

T Zubair, MI Asjad, M Usman, J Awrejcewicz - Nanomaterials, 2021 - mdpi.com
We integrate fractional calculus and plasma modelling concepts with specific geometry in
this article, and further formulate a higher dimensional time-fractional Vlasov Maxwell …

A semi‐relativistic time‐fractional Vlasov–Maxwell code for numerical simulation based on circular polarization and Landau damping instability

T Zubair, M Usman - Numerical Methods for Partial Differential …, 2022 - Wiley Online Library
Abstract The Vlasov–Maxwell system is a revolutionary tool to model and analyze the
dynamic behavior of the collisionless plasma in the existence of the electromagnetic field. In …

Numerical impact of symmetric two-stream instability on fractional-order plasma model based on specific geometry with LASER light

T Zubair, M Usman, M Ahmad - Indian Journal of Physics, 2022 - Springer
In this article, we choose the more complex form of extremely unbalanced initial data, further
investigating the performance of the particles and the numerical convergence of the scheme …