Abstract

The Adams-type predictor-corrector method for the numerical solution of fractional differential equations proposed by K. Diethelm et al. (Nonlinear Dynam. 29 (2002), 3-22) is extended in this work to equations with general fractional derivative. The method may be used both for linear and nonlinear problems. Numerical examples are given for the particular cases of multi-term and distributed-order fractional differential operators, which demon- strate the viability of the developed numerical algorithm.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 5
Year: 2022

DOI: 10.12732/ijam.v35i5.5

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