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Linear Fuzzy Delay Differential Equation and Its Application in Biological Model with Fuzzy Stability Analysis

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Recent Advances on Soft Computing and Data Mining (SCDM 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 978))

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Abstract

In this present article solution and stability analysis of a fuzzy delay differential equation with application is presented. For the presence of the uncertainty the uncertainty parameter namely fuzzy number with the corresponding differential equation in time delay model becomes fuzzy delay differential equation (FDDE) model. Using generalized Hukuhara derivative technique the fuzzy delay differential equation transformed to system of two crisp delay differential equations. The fuzzy stability criterion is found for different cases. The results are followed by a real world problem delayed protein degradation model.

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References

  1. Zadeh LA (1965) Fuzzy Sets Inf Control 8:338–353

    Article  Google Scholar 

  2. Dubois D, Prade H (1982) Towards fuzzy differential calculus part 3 differentiations. Fuzzy Sets Syst 8:225–233

    Article  Google Scholar 

  3. Kaleva O (1987) Fuzzy differential equations. Fuzzy Sets Syst 24:301–317

    Article  MathSciNet  Google Scholar 

  4. Wu C, Song S (1996) Approximate solutions, existence, and uniqueness of the cauchy problem of fuzzy differential equations. J Math Anal Appl 202:629–644

    Article  MathSciNet  Google Scholar 

  5. Min C, Huang N-J, Zhang LH (2014) Existence of local and global solutions of fuzzy delay differential inclusions. Adv Differ Equ 108:1–14

    Google Scholar 

  6. Lupulescu V, Abbas U (2012) Fuzzy delay differential equations. Fuzzy Optim Decis Mak 11:99–111

    Article  MathSciNet  Google Scholar 

  7. Barzinji K, Maan N, Aris N (2014) Linear fuzzy delay differential system: analysis on stability of steady state. MATEMATIKA 30(1a):1–7

    MathSciNet  Google Scholar 

  8. Narayanamoorthy S, Yookesh TL (2015) Approximate method for solving the linear fuzzy delay differential equations. Discret Dyn Nat Soc 2015, Article ID 273830:1–9

    Article  Google Scholar 

  9. Jafelice RM, Barros LC, Bassanezi RC (2009) A fuzzy delay differential equation model for HIV dynamics. In: IFSA-EUSFLAT, pp 265–270

    Google Scholar 

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Acknowledgement

This research was financially supported by the Ministry of Education, Malaysia under FRGS Grant (Project No.: 01-01-18-2031FR).

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Authors and Affiliations

  1. Department of Mathematics, Netaji Subhash Engineering College, Panchpota Garia, Kolkata, 700152, West Bengal, India

    Animesh Mahata

  2. Department of Applied Science, Maulana Abul Kalam Azad University of Technology, West Bengal, Nadia, 741249, West Bengal, India

    Sankar Prasad Mondal

  3. Institutes for Mathematical Research, Universiti Putra Malaysia, 43400, Serdang, Selangor, Malaysia

    Ali Ahmadian

  4. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711103, West Bengal, India

    Shariful Alam

  5. Young Research and Elite Club, Islamic Azad University, Mobarakeh branch, Mobarakeh, Iran

    Soheil Salahshour

Authors
  1. Animesh Mahata
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  2. Sankar Prasad Mondal
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  3. Ali Ahmadian
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  4. Shariful Alam
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  5. Soheil Salahshour
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Corresponding author

Correspondence to Ali Ahmadian .

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Editors and Affiliations

  1. Faculty of Computer Science and Information Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Johor, Malaysia

    Rozaida Ghazali

  2. Faculty of Computer Science and Information Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Johor, Malaysia

    Nazri Mohd Nawi

  3. Faculty of Computer Science and Information Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Johor, Malaysia

    Mustafa Mat Deris

  4. School of Information Technology, Deakin University, Geelong Waurn Ponds Campus, VIC, Australia

    Jemal H. Abawajy

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Mahata, A., Mondal, S.P., Ahmadian, A., Alam, S., Salahshour, S. (2020). Linear Fuzzy Delay Differential Equation and Its Application in Biological Model with Fuzzy Stability Analysis. In: Ghazali, R., Nawi, N., Deris, M., Abawajy, J. (eds) Recent Advances on Soft Computing and Data Mining. SCDM 2020. Advances in Intelligent Systems and Computing, vol 978. Springer, Cham. https://doi.org/10.1007/978-3-030-36056-6_23

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