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>General fractional calculus in non-singular power-law kernel applied to model anomalous diffusion phenomena in heat transfer problems
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General fractional calculus in non-singular power-law kernel applied to model anomalous diffusion phenomena in heat transfer problems
In this paper we address the general fractional calculus of Liouville-Weyl and Liouville-Caputo general fractional derivative types with non-singular power-law kernel for the first time. The Fourier transforms and the anomalous diffusions are discussed in detail. The formulations are adopted to describe complex phenomena of the heat transfer problems.
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