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Open Mathematics

formerly Central European Journal of Mathematics

Editor-in-Chief: Gianazza, Ugo / Vespri, Vincenzo

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Volume 13, Issue 1 (Sep 2015)


On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method

Haci Mehmet Baskonus
  • Corresponding author
  • Faculty of Engineering, Department of Computer Engineering, Tunceli University, Tunceli, Turkey
  • Email:
/ Hasan Bulut
  • Faculty of Science, Department of Mathematics, Firat University , Elazig, Turkey
  • Email:
Published Online: 2015-09-25 | DOI: https://doi.org/10.1515/math-2015-0052


In this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the numerical solutions of some linear and nonlinear fractional ordinary differential equations. Then, we construct a table including numerical results for both fractional differential equations. Then, we draw two dimensional surfaces of numerical solutions and analytical solutions by considering the suitable values of parameters. Finally, we use the L2 nodal norm and L maximum nodal norm to evaluate the accuracy of method used in this paper.

Keywords: Fractional Adams-Bashforth-Moulton method; Fractional calculus; Fractional nonlinear ordinary differential equation


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About the article

Received: 2015-06-19

Accepted: 2015-08-03

Published Online: 2015-09-25

Citation Information: Open Mathematics, ISSN (Online) 2391-5455, DOI: https://doi.org/10.1515/math-2015-0052. Export Citation

© 2015. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

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