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- W3048596474 abstract "The concept of fractal–fractional in Caputo sense have being introduced very recently. However, no much investigation have been done from the theoretical point of view to application point of view. In this chapter, we presented in detail some useful theoretical results for the case of fractal–fractional derivatives in Caputo sense when the kernels are power law, exponential decay, and the generalized Mittag-Leffler functions. We presented for each case the numerical approximation. We consider partial differential equations with these new differential operators. A detailed numerical analysis, including the stability were presented for each case for the first time. Some numerical simulations are presented to underpin the efficiency of the used numerical scheme also to see the effect of the fractal dimension and fractional order." @default.
- W3048596474 created "2020-08-18" @default.
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- W3048596474 date "2020-08-10" @default.
- W3048596474 modified "2023-09-26" @default.
- W3048596474 title "Analysis of New Trends of Fractional Differential Equations" @default.
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- W3048596474 doi "https://doi.org/10.1002/9781119654223.ch3" @default.
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