Analysis and application of new fractional Adams–Bashforth scheme with Caputo–Fabrizio derivative
- 1 December 2017
- journal article
- research article
- Published by Elsevier BV in Chaos, Solitons, and Fractals
- Vol. 105, 111-119
- https://doi.org/10.1016/j.chaos.2017.10.020
Abstract
No abstract availableKeywords
This publication has 33 references indexed in Scilit:
- Cantor-type cylindrical-coordinate method for differential equations with local fractional derivativesPhysics Letters A, 2013
- On the numerical solution of space–time fractional diffusion modelsComputers & Fluids, 2011
- Matrix approach to discrete fractional calculus II: Partial fractional differential equationsJournal of Computational Physics, 2009
- Analytical solution for the space fractional diffusion equation by two-step Adomian Decomposition MethodCommunications in Nonlinear Science and Numerical Simulation, 2009
- Numerical approach to differential equations of fractional orderJournal of Computational and Applied Mathematics, 2007
- Solving linear and non-linear space-time fractional reaction-diffusion equations by the Adomian decomposition methodInternational Journal for Numerical Methods in Engineering, 2007
- Variational iteration method for solving the space‐ and time‐fractional KdV equationNumerical Methods for Partial Differential Equations, 2007
- Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional OrderInternational Journal of Nonlinear Sciences and Numerical Simulation, 2006
- Finite difference approximations for two-sided space-fractional partial differential equationsApplied Numerical Mathematics, 2006
- Detailed Error Analysis for a Fractional Adams MethodNumerical Algorithms, 2004