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Solís-Pérez, J.E., Gómez-Aguilar, J.F. and Atangana, A. (2018) Novel Numerical Method for Solving Variable-Order Fractional Differential Equations with Power, Exponential and Mittag-Leffler Laws. Chaos, Solitons & Fractals, 114, 175-185.
https://doi.org/10.1016/j.chaos.2018.06.032

has been cited by the following article:

• TITLE: A Hybrid ESA-CCD Method for Variable-Order Time-Fractional Diffusion Equations

  AUTHORS: Xiaoxue Lu, Chunhua Zhang, Huiling Xue, Bowen Zhong

  KEYWORDS: Variable-Order Caputo Fractional Derivative, Combined Compact Difference Method, Exponential-Sum-Approximation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.9, September 10, 2024

  ABSTRACT: In this paper, we study the solutions for variable-order time-fractional diffusion equations. A three-point combined compact difference (CCD) method is used to discretize the spatial variables to achieve sixth-order accuracy, while the exponential-sum-approximation (ESA) is used to approximate the variable-order Caputo fractional derivative in the temporal direction, and a novel spatial sixth-order hybrid ESA-CCD method is implemented successfully. Finally, the accuracy of the proposed method is verified by numerical experiments.