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On Fractional Backward Differential Formulas Methods for Fractional Differential Equations with Delay

  • Mahdi Saedshoar Heris
  • Mohammad Javidi
Original Paper
  • 86 Downloads

Abstract

In this paper, fractional backward differential formulas are presented for the numerical solution of fractional delay differential equations in Caputo sense. We focus on linear equations. Our investigation is focused on stability properties of the numerical methods and we determine stability regions for the fractional delay differential equations. Also we proposed the dependence of the solution on the parameters of the equation and conclude with a numerical treatment and examples based on the adaptation of a fractional backward differential formulas methods to the delay case. Numerical experiments are provided to illustrate potential and limitations of the different methods under investigation.

Keywords

Fractional backward differential formulas Linear delay differential equations Stability 

Mathematics Subject Classification

34A30 65L06 65L20 

Notes

Acknowledgements

The authors would like to express special thanks to the referees for carefully reading, constructive comments and valuable remarks which significantly improved the quality of this paper.

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Copyright information

© Springer (India) Private Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Mathematical SciencesUniversity of TabrizTabrizIran

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