Abstract
Here we derive an appropriate local fractional Taylor formula. We provide a complete description of the formula. See also [3].
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References
F.B. Adda, J. Cresson, About non-differential functions. J. Math. Anal. Appl. 263, 721–737 (2001)
F.B. Adda, J. Cresso, Fractional differential equations and the schrödinger equation. Appl. Math. Comput. 161, 323–345 (2005)
G.A. Anastassiou, Local fractional taylor formula. J. Comput. Anal. Appl. 28(4), 709–713 (2020)
K.M. Kolwankar, Local fractional calculus: a review. arXiv: 1307:0739v1 [nlin.CD] 2 Jul 2013
K.M. Kolwankar, A.D. Gangal, Local fractional calculus: a calculus for fractal space-time, Fractals: Theory and Applications in Engineering (Springer, London, 1999), pp. 171–181
I. Podlubny, Fractional Differential Equations (Academic, San Diego, 1999)
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Anastassiou, G.A. (2020). Local Fractional Taylor Formula. In: Intelligent Analysis: Fractional Inequalities and Approximations Expanded. Studies in Computational Intelligence, vol 886. Springer, Cham. https://doi.org/10.1007/978-3-030-38636-8_14
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DOI: https://doi.org/10.1007/978-3-030-38636-8_14
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