On failed methods of fractional differential equations: the case of multi-step generalized differential transform method
DOI10.1007/s00009-018-1193-xzbMath1416.65250arXiv1710.04183OpenAlexW2807378972MaRDI QIDQ1790528
Sima Sarv Ahrabi, Alireza Momenzadeh
Publication date: 2 October 2018
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.04183
numerical solutionfractional differential equationsdifferential transform methodfractional linear multi-step methodsAdams-Bashforth-Moulton
Numerical methods for ordinary differential equations (65L99) Fractional ordinary differential equations (34A08)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Status of the differential transformation method
- Generalized exponential time differencing methods for fractional order problems
- An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells
- Fractional calculus models of complex dynamics in biological tissues
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Numerical solution of multiterm fractional differential equations using the matrix Mittag-Leffler functions
- Numerical solution of fractional differential equations: a survey and a software tutorial
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- On a fractional Zener elastic wave equation
- On multistep methods for differential equations of fractional order
- Generalized differential transform method: Application to differential equations of fractional order
- Solution of fractional differential equations by using differential transform method
- Pontryagin maximum principle for fractional ordinary optimal control problems
- Discretized Fractional Calculus
- On linear stability of predictor–corrector algorithms for fractional differential equations
- Runge-Kutta Theory for Volterra and Abel Integral Equations of the Second Kind
- Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
- Fractional Spectral Collocation Method
- Approximate product-integration
This page was built for publication: On failed methods of fractional differential equations: the case of multi-step generalized differential transform method
