Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations

DOI10.1155/2014/535793zbMath1474.65415OpenAlexW2043744925WikidataQ59039234 ScholiaQ59039234MaRDI QIDQ1724341

Devendra Kumar, Jagdev Singh, Adem Kilicman

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/535793

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

Related Items (22)

Sturm-Liouville problem and numerical method of fractional diffusion equation on fractals ⋮ Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem ⋮ Stability results of a fractional model for unsteady-state fluid flow problem ⋮ A new fractional model for giving up smoking dynamics ⋮ On stability of improved conformable model for studying the dynamics of a malnutrition community ⋮ On the construction and stability analysis of the solution of linear fractional differential equation ⋮ A hybrid computational approach for Klein-Gordon equations on Cantor sets ⋮ Analysis of an El Nino-Southern Oscillation model with a new fractional derivative ⋮ Invariant solutions of fractional-order spatio-temporal partial differential equations ⋮ A new approximation for the generalized fractional derivative and its application to generalized fractional diffusion equation ⋮ A new operational method to solve Abel's and generalized Abel's integral equations ⋮ Convective flow of a fractional second grade fluid containing different nanoparticles with Prabhakar fractional derivative subject to non‐uniform velocity at the boundary ⋮ Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative ⋮ Application of \(\tan (\Phi (\xi )/2)\)-expansion method to solve some nonlinear fractional physical model ⋮ Application of fractional calculus to combined modified function projective synchronization of different systems ⋮ An efficient computational technique for local fractional heat conduction equations in fractal media ⋮ New exact solution of generalized biological population model ⋮ Mathematical modelling of cytosolic calcium concentration distribution using non-local fractional operator ⋮ A fractional epidemiological model for computer viruses pertaining to a new fractional derivative ⋮ A conformable mathematical model for alcohol consumption in Spain ⋮ Modeling the dynamics of hepatitis E via the Caputo–Fabrizio derivative ⋮ Sinc-Muntz-Legendre collocation method for solving a class of nonlinear fractional partial differential equations

Cites Work

• A comparison between Adomian's polynomials and He's polynomials for nonlinear functional equations
• Application of Laplace decomposition method on semi-infinite domain
• Homotopy perturbation transform method for nonlinear equations using He's polynomials
• A note on the comparison between Laplace and Sumudu transforms
• Sumudu transform fundamental properties investigations and applications
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• On the diffusion of biological populations
• Solving frontier problems of physics: the decomposition method
• A Laplace decomposition algorithm applied to a class of nonlinear differential equations
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Lie group solution for free convective flow of a nanofluid past a chemically reacting horizontal plate in a porous media
• Analytical investigations of the Sudumu transform and applications to integral production equations
• Comments on ``He's homotopy perturbation method for calculating Adomian polynomials
• Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
• Homotopy perturbation technique
• The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
• On the applications of Laplace and Sumudu transforms
• Stochastic contaminant transport equation in porous media
• Homotopy Analysis Method for Solving Biological Population Model
• Sumudu transform and the solution of integral equations of convolution type
• Exact Solutions of Fractional-Order Biological Population Model
• Explicit analytical solutions of the generalized Burger and Burger-Fisher equations by homotopy perturbation method
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations