[HTML][HTML] A new and general fractional Lagrangian approach: a capacitor microphone case study

A Jajarmi, D Baleanu, KZ Vahid, HM Pirouz, JH Asad - Results in Physics, 2021 - Elsevier
In this study, a new and general fractional formulation is presented to investigate the
complex behaviors of a capacitor microphone dynamical system. Initially, for both …

Modeling COVID-19 transmission dynamics: a bibliometric review

GG Goswami, T Labib - … journal of environmental research and public …, 2022 - mdpi.com
A good amount of research has evolved just in three years in COVID-19 transmission,
mortality, vaccination, and some socioeconomic studies. A few bibliometric reviews have …

On fractal-fractional Covid-19 mathematical model

H Khan, F Ahmad, O Tunç, M Idrees - Chaos, Solitons & Fractals, 2022 - Elsevier
In this article, we are studying a Covid-19 mathematical model in the fractal-fractional sense
of operators for the existence of solution, Hyers-Ulam (HU) stability and computational …

Transmission dynamics and sensitivity analysis of pine wilt disease with asymptomatic carriers via fractal-fractional differential operator of Mittag-Leffler kernel

Z Ahmad, G Bonanomi, D di Serafino… - Applied Numerical …, 2023 - Elsevier
Pine wilt disease is caused by nematodes transmitted by pine sawyer beetles and is fatal for
several pine species. The trees might be destroyed within a few months after being attacked …

Dynamics of fractal-fractional model of a new chaotic system of integrated circuit with Mittag-Leffler kernel

Z Ahmad, F Ali, N Khan, I Khan - Chaos, Solitons & Fractals, 2021 - Elsevier
Fractal-fractional operators have been crucial in detecting some hidden chaotic phenomena
that could not be exposed using classical or simple fractional differential and integral …

Fractal fractional analysis of non linear electro osmotic flow with cadmium telluride nanoparticles

S Murtaza, P Kumam, A Kaewkhao, N Khan… - Scientific Reports, 2022 - nature.com
Numerical simulations of non-linear Casson nanofluid flow were carried out in a
microchannel using the fractal-fractional flow model. The nano-liquid is prepared by …

[HTML][HTML] Sensitivity analysis of COVID-19 with quarantine and vaccination: A fractal-fractional model

A Malik, M Alkholief, FM Aldakheel, AA Khan… - Alexandria Engineering …, 2022 - Elsevier
To eradicate most infectious diseases, mathematical modelling of contagious diseases has
revealed that a combination of quarantine, vaccination, and cure is frequently required …

Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator

S Ahmad, A Ullah, A Akgül - Chaos, Solitons & Fractals, 2021 - Elsevier
A new set of differential and integral operators has recently been proposed by Abdon et al.,
merging the fractional derivative and the fractal derivative, taking into account non-locality …

Fractal fractional based transmission dynamics of COVID-19 epidemic model

P Liu, M Rahman, A Din - Computer Methods in Biomechanics and …, 2022 - Taylor & Francis
We investigate the dynamical behavior of Coronavirus (COVID-19) for different infections
phases and multiple routes of transmission. In this regard, we study a COVID-19 model in …

Bifurcations, stability analysis and complex dynamics of Caputo fractal-fractional cancer model

L Xuan, S Ahmad, A Ullah, S Saifullah, A Akgül… - Chaos, Solitons & …, 2022 - Elsevier
The association of cancer and immune cells has complex nature and produces chaotic
behavior when it is simulated. The newly introduced operators which combine the fractal …