Analysis of a fractional epidemic model by fractional generalised homotopy analysis method using modified Riemann-Liouville derivative
type: Item
instance of: scholarly article
title: Analysis of a fractional epidemic model by fractional generalised homotopy analysis method using modified Riemann-Liouville derivative
zbMATH Open document ID: 1481.92161
author: S. R. Saratha
author: G. Sai Sundara Krishnan
author: M. Bagyalakshmi
published in: Applied Mathematical Modelling
publication date: 2021-09-24T00:00:00Z
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7400321
zbMATH Keywords: fractional calculus
zbMATH Keywords: fractional \(G\)-transform
zbMATH Keywords: Mittag-Leffler function
zbMATH Keywords: modified Riemann-Liouville derivative
zbMATH Keywords: epidemic model
Wikidata QID: Q114208795
MaRDI profile type: Publication
full work available at URL: j.apm.2020.11.019
OpenAlex ID: W3110328438
cites work: Q4233638
cites work: A note on fractional order derivatives and table of fractional derivatives of some special functions
cites work: Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative
cites work: Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order
cites work: The intrinsic structure and properties of Laplace-typed integral transforms
cites work: A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
cites work: An exact solution of a limit case Stefan problem governed by a fractional diffusion equation
cites work: A reliable treatment of Abel's second kind singular integral equations
cites work: A new comparative study between homotopy analysis transform method and homotopy perturbation transform method on a semi infinite domain
cites work: A new fractional analytical approach via a modified Riemann-Liouville derivative
cites work: A new approach for solving fractional partial differential equations in the sense of the modified Riemann-Liouville derivative
cites work: Q5214747
cites work: Solution of the epidemic model by Adomian decomposition method
cites work: Solution of the epidemic model by homotopy perturbation method
cites work: Variational iteration method for solving the epidemic model and the prey and predator prob\-lem
cites work: Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method
cites work: Solutions of the SIR models of epidemics using HAM
cites work: Numerical solution of the system of nonlinear ordinary differential equations arising in kinetic modeling of lactic acid fermentation and epidemic model
cites work: Q4906862
cites work: Q3384975
cites work: Numerical analysis of fractional order epidemic model of childhood diseases
cites work: Saving human lives: what complexity science and information systems can contribute
cites work: Statistical physics of vaccination
cites work: Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
cites work: Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
cites work: Q4495253
cites work: On Chaotic Behavior of Temperature Distribution in a Heat Exchanger
cites work: Explicit solution to predict the temperature distribution and exit temperatures in a heat exchanger using differential transform method
cites work: Fractional generalised homotopy analysis method for solving nonlinear fractional differential equations
cites work: Toward a modified variational iteration method
DOI: 10.1016/J.APM.2020.11.019
description: scientific article; zbMATH DE number 7400321