Space time fractional Boussinesq equation with singular and non singular kernels
type: Item
instance of: scholarly article
title: Space time fractional Boussinesq equation with singular and non singular kernels
zbMATH Open document ID: 1474.35626
DOI: 10.1504/IJDSDE.2020.111481
author: Ritu Agarwal
author: Mahaveer Prasad Yadav
author: Ravi P. Agarwal
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2021-05-07T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 33E12
zbMATH DE Number: 7345597
zbMATH Keywords: linearised Boussinesq equation
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: Caputo-Fabrizio fractional derivative
zbMATH Keywords: fractional Laplacian operator
zbMATH Keywords: Mittag-Leffler function
Wikidata QID: Q115237418
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 7345597