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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Runge-Kutta method of order four for solving fuzzy delay differential equations under generalized differentiability

Journal of Applied Nonlinear Dynamics 7(2) (2018) 131--146 | DOI:10.5890/JAND.2018.06.003

S. Indrakumar; K. Kanagarajan

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 641020, India

Assistant professor in Kongu Engineering College, Erode, Tamilnadu 638052, India

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Abstract

This paper portrays and interpret the fuzzy delay differential equations using the generalized differentiability concept by applying the Generalized Characterization Theorem. Subsequently we also investigate the problem of finding a numerical approximation of solutions. Moreover, the Runge-Kutta approximation methods is implemented and its error analysis are also discussed. The applicability of the theoretical results are illustrated with some examples.

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