ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Numerical Solution of Hybrid Fuzzy Mixed Delay Differential Equation by Fourth Order Runge-Kutta Method

Discontinuity, Nonlinearity, and Complexity 10(1) (2021) 77--86 | DOI:10.5890/DNC.2021.03.006

D. Prasantha Bharathi , T. Jayakumar, S. Vinoth

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore- 641 020, Tamil Nadu, India

Abstract

The hybrid systems are used to study many engineering problems over a period of time. Now, we are adding another parameter called delay to make the hybrid systems to model any biological problems in future. We are extending the system of hybrid fuzzy differential equation to hybrid fuzzy mixed delay differential equation in this research article. The Runge-Kutta method of order four has been used to solve the problem by converting the mixed delay differential equation to multiple retarded delay differential equation. Finally, the numerical example is presented and the results are analyzed.

Acknowledgments

The authors express their sincere thanks to the anonymous reviewers for their valuable suggestions.

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