Integro-differential systems of mixed type involving higher order fractional Laplacian |
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Authors: | Miguel Yangari |
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Affiliation: | 1. Research Center on Mathematical Modelling (MODEMAT) &2. Departamento de Matemática, Escuela Politécnica Nacional, Quito, Ecuadormiguel.yangari@epn.edu.ec |
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Abstract: | In this paper, we deal with a new class of non-local operators that we term integro-differential systems of mixed type. We study the behaviour of solutions of this system when the diffusion term involves higher order fractional powers of the Laplacian. Moreover, we prove that the solution of the system decays faster than a power with an exponent given by the smallest index of the fractional power of the Laplacian. |
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Keywords: | Higher order fractional Laplacian integro-differential operators of mixed type Fourier transform Wilcox formula |
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