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Numerical solution of linear inhomogeneous fuzzy delay differential equations

  • A. G. Fatullayev
  • Nizami A. Gasilov
  • Şahin Emrah AmrahovEmail author
Article
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Abstract

We investigate inhomogeneous fuzzy delay differential equation (FDDE) in which initial function and source function are fuzzy. We assume these functions be in a special form, which we call triangular fuzzy function. We define solution as a fuzzy bunch of real functions such that each real function satisfies the equation with certain membership degree. We develop an algorithm to find the solution, and we provide the existence and uniqueness results for the considered FDDE. We also present an example to show the applicability of the proposed algorithm.

Keywords

Fuzzy differential equation Fuzzy delay differential equation Fuzzy set 

Notes

Acknowledgements

We are grateful to the Editor-in-Chief, the Associate Editor and the anonymous reviewers for their careful reading of the paper and their valuable comments and suggestions.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • A. G. Fatullayev
    • 1
  • Nizami A. Gasilov
    • 1
  • Şahin Emrah Amrahov
    • 2
    Email author
  1. 1.Baskent UniversityAnkaraTurkey
  2. 2.Computer Engineering DepartmentAnkara UniversityAnkaraTurkey

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