Analytical solutions of fractional wave equation with memory effect using the fractional derivative with exponential kernel
B. Cuahutenango-Barro, M.A. Taneco-Hernández, Yu-Pei Lv and 4 more
Results in Physics · 2021
doi:10.1016/j.rinp.2021.104148 (opens in a new tab)
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Abstract
Analytical solutions of the fractional wave equation via Caputo-Fabrizio fractional derivative are presented in this paper. For this analysis, three cases are considered, the classical, the damped and the damped with a source term defined by fractional wave equations. We show that these solutions are special cases of the time fractional equations with exponential law. Illustrative examples are presented.
Abstract licence: CC BY-NC
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