Space time fractional Boussinesq equation with singular and non singular kernels
by Ritu Agarwal; Mahaveer Prasad Yadav; Ravi P. Agarwal
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 5, 2020

Abstract: Recently, many authors have found analytical and numerical solutions of fractional Boussinesq equation by applying various fractional operators with singular kernels. Motivated by recently introduced fractional operators with non-singular kernels, in this paper a comparison of the solution of linearised fractional Boussinesq equation has been made for the fractional operators Caputo (with singular kernel) and Caputo-Fabrizio (with non-singular kernel). Linearised Boussinesq equation is derived by assuming that the average thickness of saturated layer of an aquifer is constant.

Online publication date: Mon, 30-Nov-2020

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