Hadamard-Type Fractional Heat Equations and Ultra-Slow Diffusions
نویسندگان
چکیده
In this paper, we study diffusion equations involving Hadamard-type time-fractional derivatives related to ultra-slow random models. We start our analysis using the abstract fractional Cauchy problem, replacing classical time derivative with Hadamard operator. The stochastic meaning of introduced differential equation is provided, and application particular case heat then discussed in detail. behaviour emerges from explicit form variance process arising analysis. Finally, obtain a solution for nonlinear Hadamard-diffusive equation.
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2021
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract5020048