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An Iterative Method for Solving Fuzzy Fractional Differential Equations

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Soft Computing in Data Science (SCDS 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 545))

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Abstract

The aim of this paper is to solve fuzzy fractional differential equations (FFDEs) of the Caputo type. The basic idea is to convert FFDEs to a type of fuzzy Volterra integral equation. Then the obtained Volterra integral equation will be exploited with some suitable quadrature rules to get a fractional predictor-corrector method. The results show that the proposed method exhibit high precision with low cost.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia

    Ali Ahmadian, Fudziah Ismail, Norazak Senu & Sarkhosh Seddighi Chaharborj

  2. Young Researchers and Elite Club, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran

    Soheil Salahshour

  3. Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia

    Mohamed Suleiman

Authors
  1. Ali Ahmadian
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  2. Fudziah Ismail
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  3. Norazak Senu
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  4. Soheil Salahshour
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  5. Mohamed Suleiman
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  6. Sarkhosh Seddighi Chaharborj
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Corresponding author

Correspondence to Ali Ahmadian .

Editor information

Editors and Affiliations

  1. University of Tennessee, Knoxville, Tennessee, USA

    Michael W. Berry

  2. Universiti Teknologi MARA, Shah Alam, Malaysia

    Azlinah Mohamed

  3. Universiti Teknologi MARA, Shah Alam, Malaysia

    Bee Wah Yap

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Ahmadian, A., Ismail, F., Senu, N., Salahshour, S., Suleiman, M., Chaharborj, S.S. (2015). An Iterative Method for Solving Fuzzy Fractional Differential Equations. In: Berry, M., Mohamed, A., Yap, B. (eds) Soft Computing in Data Science. SCDS 2015. Communications in Computer and Information Science, vol 545. Springer, Singapore. https://doi.org/10.1007/978-981-287-936-3_9

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  • DOI: https://doi.org/10.1007/978-981-287-936-3_9

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-287-935-6

  • Online ISBN: 978-981-287-936-3

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