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Unique existence of solution to initial value problem for fractional differential equation involving with fractional derivative of variable order

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  • Zhang, Shuqin
  • Su, Xinwei

Abstract

We deal with unique existence of solution to initial value problem for fractional differential equation involving with fractional derivative of variable order. Some examples substantiate these theoretical results.

Suggested Citation

  • Zhang, Shuqin & Su, Xinwei, 2021. "Unique existence of solution to initial value problem for fractional differential equation involving with fractional derivative of variable order," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003945
    DOI: 10.1016/j.chaos.2021.111040
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    References listed on IDEAS

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    1. Ganji, R.M. & Jafari, H. & Baleanu, D., 2020. "A new approach for solving multi variable orders differential equations with Mittag–Leffler kernel," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
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    Cited by:

    1. Chauhan, Archana & Gautam, G.R. & Chauhan, S.P.S. & Dwivedi, Arpit, 2023. "A validation on concept of formula for variable order integral and derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    2. Sun, Lin & Chen, Yiming, 2021. "Numerical analysis of variable fractional viscoelastic column based on two-dimensional Legendre wavelets algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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