Advanced Local Fractional Calculus and Its Applications

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A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets (2019, methodology): “The Mittage-Leffler function and hyperbolic sine are, respectively, defined by [19,20,32,33]:”
On the local fractional wave equation in fractal strings (2019, unknown): “þ z k−1 ð Þβv k−1 ð Þβ ð Þ ξ; 0 ð Þ −zLβ Rβv ξ; η ð Þ þ zLβ h ξ; η ð Þ 1⁄2 : (7)”
A Review of Definitions for Fractional Derivatives and Integral (2014, unknown): “(22) Local fractional Yang derivative [40]: Dα − [f (x)] 󵄨 󵄨 󵄨 󵄨x=x 0 = lim x→x 0 Δ α [f (x) − f (x 0 )]”
New promises and future challenges of fractal calculus: From two-scale thermodynamics to fractal variational principle (2020, background): “A systematical study of various fractional derivatives is given by Yang in his monograph [15], fractional calculus has seen wide applications, see for example, fractional cable[16], fractional vibration[17], fractional nanofluid[18], fractional electro-magneto-hydrodynamics[19], fractional electro-o”
Fractional Calculus: Quo Vadimus? (Where are we Going?) (2015, result): “We have taken the present occasion, as a compliment to our previous survey [107], to cite books published during the years 2011 [92, 80, 44, 26, 65, 47, 5, 106, 117], 2012 [7, 3, 77, 1, 51, 38, 102, 56, 122, 15, 112, 110, 118], 2013 [14, 18, 89, 29, 36], and 2014 [57, 4, 121, 39, 105, 40, 66, 86, 2,”