Abstract
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.
Highlights
In this manuscript a system is modeled with the concept of retarded delay differential equation and we study it using fuzzy numbers
We have used the R-K-4 method to find the numerical solution of fuzzy hybrid retarded delay differential equations (FHRDDE)
The analytical and numerical results obtained by this paper ensures our governing Equation 1 as the hybrid fuzzy retarded delay differential equation
Summary
In this manuscript a system is modeled with the concept of retarded delay differential equation and we study it using fuzzy numbers. Nowadays hybrid systems play a vital role in communication systems and retard delay differential equation was considered to be unavoidable in modeling any biological models. In this paper these two separate mathematical concepts were combined under one roof called fuzzy. In Pederson and Sambandham [8], the authors defined and solved the problem of hybrid fuzzy IVP. We extended this hybrid fuzzy IVP to fuzzy hybrid retarded delay IVP. Followed by Pederson and Sambandham [8] defined over the hybrid term (zH(t)) and delay term zH(t − δ)
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