Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat-transfer problems

By Xiao-jun Yang. 2016

160 citations recorded by the source corpus.

In the present paper, we address a class of the fractional derivatives of constant and variable orders for the first time. Fractional-order relaxation equations of constants and variable orders in the sense of Caputo type are modeled from mathematical view of point. The comparative results of the anomalous relaxation among the various fractional derivatives are also given. They are very efficient in description of the complex phenomenon arising in heat transfer.

Subfields: Biomedical Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/3057eeee9587b00778e6533bbd7465c0a965ce04

Citations in the corpus

• Fundamental solutions of the general fractional‐order diffusion equations (2018, unknown): “L [ RL 0 D (ν) τ ( τυ−1O φ ν,υ (−τ) )] = ψ−υ(1 + ψ−ν)−φψ1−υ(1 + ψ−ν)−φ = ψ1−2υ(1 + ψ−ν)−2φ (20)”