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Solving Fractional Fuzzy Impulsive Differential Equations with Uncertainty by Novel Computational Technique

Author

Listed:
  • Nematallah Najafi

    (Department of Mathematics, Koohdasht Branch, Lorestan University, Koohdasht, Iran)

  • Tofigh Allahviranloo

    (��Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey‡Department of Mathematics, Science and Research Branch, Islamic, Azad University, Thran, Iran)

  • Withold Pedrycz

    (�Department of Electrical and Computer Engineering, University of Alberta, Canada AB T6G2R3, Canada)

Abstract

The aim of this paper is to utilize the fuzzy fractional generalized Taylor series for fuzzy fractional impulsive differential equations (FFIDE) with uncertainty in the sense for generalized Hukuhara differentiability. Then, for the FFIDE, the modified fuzzy fractional Euler technique (MFFET) is presented following the fuzzy fractional generalized Taylor series and its local and global truncation errors are defined. Furthermore, the consistency, convergence, and stability for this MFFET are provided in detail. The illustrative examples show that the above technique, owing to its usefulness and efficiency, is used for solving nth-order nonlinear FFIDES.

Suggested Citation

  • Nematallah Najafi & Tofigh Allahviranloo & Withold Pedrycz, 2022. "Solving Fractional Fuzzy Impulsive Differential Equations with Uncertainty by Novel Computational Technique," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 251-291, July.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:02:n:s1793005722500144
    DOI: 10.1142/S1793005722500144
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