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Fuzzy natural transform method for solving fuzzy differential equations

  • Fuzzy systems and their mathematics
  • Published:
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Abstract

This article establishes a new transform method to seek the solution to some fuzzy differential equations. For the first time in the literature, the fuzzy natural transform method (FNTM) is introduced to solve the integer-order differential equations and non-integer-order differential equations in an uncertain environment. To do this, some primary results of FNTM are presented for integer- and non-integer-order derivatives in the Riemann–Liouville and Caputo senses under generalized Hukuhara differentiability. The method is illustrated by providing some examples.

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Acknowledgements

The authors would like to express their deep gratitude to the anonymous referees for their valuable comments and suggestions, which have greatly improved this paper.

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No funding was provided to the completion of this study.

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Authors and Affiliations

  1. Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhunkhwa, Pakistan

    Shabir Ahmad, Aman Ullah & Abd Ullah

  2. Laboratory for Applied and Industrial Mathematics, Institute for Computational Science and Artificial Intelligence, Van Lang University, Ho Chi Minh City, Vietnam

    Ngo Van Hoa

  3. Faculty of Basic Sciences, Van Lang University, Ho Chi Minh City, Vietnam

    Ngo Van Hoa

Authors
  1. Shabir Ahmad
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  2. Aman Ullah
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  3. Abd Ullah
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  4. Ngo Van Hoa
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Correspondence to Ngo Van Hoa.

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Ahmad, S., Ullah, A., Ullah, A. et al. Fuzzy natural transform method for solving fuzzy differential equations. Soft Comput 27, 8611–8625 (2023). https://doi.org/10.1007/s00500-023-08194-w

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