A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials

S Kumar, R Kumar, MS Osman… - Numerical methods for …, 2021 - Wiley Online Library
Epidemiology is the glorious discipline underlying medical research, public health practice,
and health care evaluation. Nowadays, research on disease models with anonymous …

A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment

S Kumar, A Kumar, B Samet, JF Gómez-Aguilar… - Chaos, Solitons & …, 2020 - Elsevier
A tumor is most dangerous disease of medical science which is a mass or lumps of tissue
that's formed by an accumulation of abnormal cells. A famous fractional tumor-immune …

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 …

Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators

S Kumar, RP Chauhan, S Momani… - Numerical Methods for …, 2024 - Wiley Online Library
Nowadays, the complete world is suffering from untreated infectious epidemic disease
COVID‐19 due to coronavirus, which is a very dangerous and deadly viral infection. So, the …

A study on fractional host–parasitoid population dynamical model to describe insect species

S Kumar, A Kumar, B Samet… - Numerical Methods for …, 2021 - Wiley Online Library
The parasitoid is a broad evolutionary association of hymenopteran insects which are well‐
known as biological control agents. Parasites are different from predators because parasites …

A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order r∈(1, 2) with delay

C Dineshkumar, R Udhayakumar, V Vijayakumar… - Chaos, Solitons & …, 2021 - Elsevier
In this paper, we formulate a new set of sufficient conditions for the approximate
controllability of fractional evolution stochastic integrodifferential delay inclusions of order …

New illustrative applications of integral transforms to financial models with different fractional derivatives

EK Akgül, A Akgül, M Yavuz - Chaos, Solitons & Fractals, 2021 - Elsevier
We investigate a couple of different financial/economic models based on market equilibrium
and option pricing with three different fractional derivatives in this paper. We obtain the …

On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions

C Ravichandran, K Logeswari, SK Panda… - Chaos, Solitons & …, 2020 - Elsevier
In this article, we study an impulsive neutral fractional integro-differential equation (FIDE) via
Atangana-Baleanu fractional derivative. The fixed point approach is employed to prove the …

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 …

Results on system of Atangana–Baleanu fractional order Willis aneurysm and nonlinear singularly perturbed boundary value problems

SK Panda, C Ravichandran, B Hazarika - Chaos, Solitons & Fractals, 2021 - Elsevier
This article concerning to initiate the existence of solutions via fixed point technique for: 1.
The Atangana–Baleanu Willis Aneurysm System {0 AB D tn 1 p= q 0 AB D tn 2 q= F cos …