Analysis of fractional-differential models of the solutions dynamics in inhomogeneous media

Kateryna Bozhonok; Valentyn Bilenko; Svitlana Dzyadyk

Institute of Mathematics Conferences, Sixth International Conference on Analytic Number Theory and Spatial Tessellations

Kateryna Bozhonok, Valentyn Bilenko, Svitlana Dzyadyk

Building: Mykhailo Drahomanov National Pedagogical University
Room: Room C
Date: 2018-09-25 04:45 PM – 17:00
Last modified: 2018-09-24

Abstract

The authors propose, theoretically substantiatehigh-precision numerical-analytical algorithms for approximation of problems solutions ininhomogeneous media on the basis of linear polynomial operators. Non-classical mathematical models to describe the fractional-differential filtration-consolidation dynamics of soil media saturated with salt solutions are used based on the concept of the Caputo--Fabrizio fractional derivative.