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 fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods

S Kumar, S Ghosh, R Kumar… - Numerical Methods for …, 2021 - Wiley Online Library
Abstract The Lotka‐Volterra model is a very famous model and frequently used to describe
the dynamics of ecological systems in which two species interact, one a predator and one its …

A study on fractional COVID‐19 disease model by using Hermite wavelets

S Kumar, R Kumar, S Momani… - Mathematical Methods in …, 2023 - Wiley Online Library
The preeminent target of present study is to reveal the speed characteristic of ongoing
outbreak COVID‐19 due to novel coronavirus. On January 2020, the novel coronavirus …

On three-dimensional variable order time fractional chaotic system with nonsingular kernel

MS Hashemi, M Inc, A Yusuf - Chaos, Solitons & Fractals, 2020 - Elsevier
Abstract We use the Adams-Bashforth-Moulton scheme (ABMS) to determine the
approximate solution of a variable order fractional three-dimensional chaotic process. The …

Foundations and trends in option pricing models: a 45 years global examination based on bibliometric analysis

N Puri, N Rajput, H Singh - Qualitative Research in Financial Markets, 2024 - emerald.com
Purpose The purpose of this study is to analyse and compile the literature on various option
pricing models (OPM) or methodologies. The report highlights the gaps in the existing …

Approximate price of the option under discretization by applying quadratic interpolation and Legendre polynomials

H Mesgarani, A Adl, Y Esmaeelzade Aghdam - Mathematical Sciences, 2023 - Springer
Abstract The time-fractional Black-Scholes model governing European options in which the
temporal derivative is focused on the Caputo fractional derivative with 0< β ≤ 1 0< β≤ 1 is …

Haar wavelet collocation method for variable order fractional integro-differential equations with stability analysis

HR Marasi, MH Derakhshan - Computational and Applied Mathematics, 2022 - Springer
This paper is focused on a numerical method based on the Haar wavelet collocation method
for finding solutions of the variable-order Caputo-Prabhakar fractional integro-differential …

A computational study of variable coefficients fractional advection–diffusion–reaction equations via implicit meshless spectral algorithm

S Haq, M Hussain, A Ghafoor - Engineering with computers, 2020 - Springer
In this article, a meshless spectral radial point interpolation method is proposed for the
numerical solutions of a class of time-fractional advection–diffusion–reaction equations. The …

Solving fractional Black–Scholes equation by using Boubaker functions

AA Khajehnasiri, M Safavi - Mathematical Methods in the …, 2021 - Wiley Online Library
The fractional Black–Scholes pricing model widely appears in financial markets. This paper
presents the special class of operational matrix to approximate the solution of fractional …

A multi-objective optimization approach for a nurse scheduling problem considering the fatigue factor (case study: Labbafinejad Hospital)

N Khalili, P Shahnazari Shahrezaei… - Journal of applied …, 2020 - journal-aprie.com
The current study, according to ergonomic factors, aims to model the nurses' work shift
scheduling problem. Considering the urgent needs of the hospitals in providing better …