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Numerical solutions of interval-valued fractional nonlinear differential equations

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Abstract.

A class of interval-valued fractional nonlinear differential equations is proposed in this paper. The system is reduced to two kinds of standard fractional differential equations if w -monotone conditions are provided. Furthermore, two classes of fractional integral equations are obtained and the predictor-corrector method is used for numerical solutions.

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Authors and Affiliations

  1. Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, 641100, Neijiang, China

    Lan-Lan Huang & Guo-Cheng Wu

  2. School of Applied Mathematics, Nanjing University of Finance and Economics, 210023, Nanjing, Jiangsu, China

    Bao-Qing Liu

  3. Department of Mathematics, Cankaya University, 06530, Balgat, Ankara, Turkey

    Dumitru Baleanu

  4. Institute of Space Sciences, Magurele-Bucharest, Romania

    Dumitru Baleanu

Authors
  1. Lan-Lan Huang
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  2. Bao-Qing Liu
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  3. Dumitru Baleanu
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  4. Guo-Cheng Wu
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Correspondence to Bao-Qing Liu.

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Huang, LL., Liu, BQ., Baleanu, D. et al. Numerical solutions of interval-valued fractional nonlinear differential equations. Eur. Phys. J. Plus 134, 220 (2019). https://doi.org/10.1140/epjp/i2019-12746-3

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  • DOI: https://doi.org/10.1140/epjp/i2019-12746-3

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