New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system

W Gao, HM Baskonus, L Shi - Advances in Difference Equations, 2020 - Springer
According to the report presented by the World Health Organization, a new member of
viruses, namely, coronavirus, shortly 2019-nCoV, which arised in Wuhan, China, on January …

Novel dynamic structures of 2019-nCoV with nonlocal operator via powerful computational technique

W Gao, P Veeresha, DG Prakasha, HM Baskonus - Biology, 2020 - mdpi.com
In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a
nonlocal operator defined in the Caputo sense. With the help of the fractional natural …

[HTML][HTML] Dynamical characteristic of analytical fractional solitons for the space-time fractional Fokas-Lenells equation

BH Wang, YY Wang, CQ Dai, YX Chen - Alexandria Engineering Journal, 2020 - Elsevier
A new strategy exploiting together the modified Riemann–Liouville fractional derivative rule
and two kinds of fractional dual-function methods with the Mittag–Leffler function is …

European option pricing models described by fractional operators with classical and generalized Mittag‐Leffler kernels

M Yavuz - Numerical Methods for Partial Differential Equations, 2022 - Wiley Online Library
In this paper, we investigate novel solutions of fractional‐order option pricing models and
their fundamental mathematical analyses. The main novelties of the paper are the analysis …

New analytical solutions and modulation instability analysis for the nonlinear (1+ 1)-dimensional Phi-four model

B Gasmi, A Ciancio, A Moussa, L Alhakim… - International Journal of …, 2023 - sciendo.com
This paper deals with the nonlinear (1+ 1)-dimensional Phi-four equation in the sense of the
Katugampola operator, which can be used to model a variety of real-world applications. To …

De Broglie waves and nuclear element interaction; Abundant waves structures of the nonlinear fractional Phi-four equation

MMA Khater - Chaos, Solitons & Fractals, 2022 - Elsevier
This research study investigates the computational wave solutions of the nonlinear fractional
Phi-four (NLFPF) equation. The NLFPF model describes the nuclear element interaction and …

[HTML][HTML] Analytical and semi-analytical solutions for Phi-four equation through three recent schemes

MMA Khater, AA Mousa, MA El-Shorbagy, RAM Attia - Results in Physics, 2021 - Elsevier
This manuscript investigates the analytical and semi-analytical solutions of nonlinear phi-
four (PF) equation by applying the sech–tanh expansion method, modified Ψ′ Ψ-expansion …

Laguerre polynomial-based operational matrix of integration for solving fractional differential equations with non-singular kernel

C Baishya, P Veeresha - Proceedings of the Royal …, 2021 - royalsocietypublishing.org
The Atangana–Baleanu derivative and the Laguerre polynomial are used in this analysis to
define a new computational technique for solving fractional differential equations. To serve …

A mathematical analysis of ongoing outbreak COVID‐19 in India through nonsingular derivative

KM Safare, VS Betageri, DG Prakasha… - … Methods for Partial …, 2021 - Wiley Online Library
Throughout the globe, mankind is in vastly infected situations due to a cruel and destructive
virus called coronavirus (COVID‐19). The pivotal aim of the present investigation is to …

[HTML][HTML] Employing Hirota's bilinear form to find novel lump waves solutions to an important nonlinear model in fluid mechanics

B Ghanbari - Results in Physics, 2021 - Elsevier
In this paper, Hirota's bilinear form has been employed to find novel lump waves solutions
for the generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation. This equation is one …