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Original Research ARTICLE Provisionally accepted The full-text will be published soon. Notify me

Front. Phys. | doi: 10.3389/fphy.2019.00168

Fuzzy Type RK4 Solutions to Fuzzy Hybrid Retarded Delay Differential Equations

 Prasantha Bharathi Dhandapani1*, Dumitru Baleanu2, Jayakumar Thippan1 and  Vinoth Sivakumar1
  • 1College of Arts and Science, Sri Ramakrishna Mission Vidydlaya, India
  • 2Çankaya University, Turkey

This paper constructs the numerical solution of particular type of differential equations called
fuzzy hybrid retarded delay-differential equations using the method of Runge-Kutta for fourth
order.The concept of fuzzy number, hybrid-differential equations and delay-differential equations
binds together to form our equations.An example following the algorithm is presented to
understand the Concept of fuzzy hybrid retarded delay-differential equations and its accuracy
is discussed in terms of decimal places for easy understanding of laymen.

Keywords: Hybrid, fuzzy, Retarded delay, differential equations, Numerical solutions, fourth order, Runge-Kutta method

Received: 24 Sep 2019; Accepted: 11 Oct 2019.

Copyright: © 2019 Dhandapani, Baleanu, Thippan and Sivakumar. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Mr. Prasantha Bharathi Dhandapani, College of Arts and Science, Sri Ramakrishna Mission Vidydlaya, Coimbatore, India, d.prasanthabharathi@gmail.com