A new study of unreported cases of 2019-nCOV epidemic outbreaks

W Gao, P Veeresha, HM Baskonus, DG Prakasha… - Chaos, Solitons & …, 2020 - Elsevier
nCOV epidemic is one of the greatest threat that the mortality faced since the World War-2
and most decisive global health calamity of the century. In this manuscript, we study the …

Abundant solitary wave solutions to an extended nonlinear Schrödinger's equation with conformable derivative using an efficient integration method

B Ghanbari, KS Nisar, M Aldhaifallah - Advances in Difference Equations, 2020 - Springer
The prevalence of the use of mathematical software has dramatically influenced the
evolution of differential equations. The use of these useful tools leads to faster advances in …

Some new edge detecting techniques based on fractional derivatives with non-local and non-singular kernels

B Ghanbari, A Atangana - Advances in Difference Equations, 2020 - Springer
Computers and electronics play an enormous role in today's society, impacting everything
from communication and medicine to science. The development of computer-related …

Analysis of fractional blood alcohol model with composite fractional derivative

J Singh - Chaos, Solitons & Fractals, 2020 - Elsevier
The present article deals with certain new and interesting features of fractional blood alcohol
model associated with powerful Hilfer fractional operator. The solution of the model depends …

New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques

W Gao, P Veeresha, DG Prakasha… - … Methods for Partial …, 2021 - Wiley Online Library
The pivotal aim of the present work is to find the numerical solution for fractional Benney–Lin
equation by using two efficient methods, called q‐homotopy analysis transform method and …

[HTML][HTML] New analytical solutions for the Oskolkov-type equations in fluid dynamics via a modified methodology

B Ghanbari - Results in Physics, 2021 - Elsevier
The main goal of this paper is to propose an efficient technique in solving partial differential
equations inspired by the improvement of a known method. To this end, we modified the …

Optical solitons of fractional complex Ginzburg–Landau equation with conformable, beta, and M-truncated derivatives: A comparative study

A Hussain, A Jhangeer, N Abbas, I Khan… - Advances in Difference …, 2020 - Springer
In this paper, we investigate the optical solitons of the fractional complex Ginzburg–Landau
equation (CGLE) with Kerr law nonlinearity which shows various phenomena in physics like …

Lyapunov functions for fractional-order systems in biology: Methods and applications

A Boukhouima, K Hattaf, EM Lotfi, M Mahrouf… - Chaos, Solitons & …, 2020 - Elsevier
We prove new estimates of the Caputo derivative of order α∈(0, 1] for some specific
functions. The estimations are shown useful to construct Lyapunov functions for systems of …

Projective multi-synchronization of fractional-order complex-valued coupled multi-stable neural networks with impulsive control

K Udhayakumar, R Rakkiyappan, FA Rihan… - Neurocomputing, 2022 - Elsevier
In this paper, we study a projective multi-synchronization problem for fractional-order
complex-valued coupled multi-stable neural networks (FCVCMNNs) with time-delays. Using …

A powerful iterative approach for quintic complex Ginzburg–Landau equation within the frame of fractional operator

SW Yao, E Ilhan, P Veeresha, HM Baskonus - Fractals, 2021 - World Scientific
The study of nonlinear phenomena associated with physical phenomena is a hot topic in the
present era. The fundamental aim of this paper is to find the iterative solution for generalized …