Fuzzy Type RK4 Solutions to Fuzzy Hybrid Retarded Delay Differential Equations

Prasantha Bharathi Dhandapani; Dumitru Baleanu; Dumitru Baleanu; Jayakumar Thippan; Vinoth Sivakumar

doi:10.3389/fphy.2019.00168

Frontiers in Physics (Oct 2019)

Fuzzy Type RK4 Solutions to Fuzzy Hybrid Retarded Delay Differential Equations

Prasantha Bharathi Dhandapani,
Dumitru Baleanu,
Dumitru Baleanu,
Jayakumar Thippan,
Vinoth Sivakumar

Affiliations

Prasantha Bharathi Dhandapani: Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India
Dumitru Baleanu: Department of Mathematics, Cankaya University, Ankara, Turkey
Dumitru Baleanu: Institute of Space Sciences, Măgurele, Romania
Jayakumar Thippan: Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India
Vinoth Sivakumar: Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India

DOI: https://doi.org/10.3389/fphy.2019.00168
Journal volume & issue: Vol. 7

Abstract

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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.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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