Zh.B. Akhmedova
Representation of the solution of a system of fractional linear differential equations with Caputo derivatives for modeling processes in fractal media
An increasing amount of attention is currently being paid to the fundamentals of mathematical modeling of nonlocal heat and mass transfer processes in fractal media. Such physical processes are described by a system of fractional linear differential equations with Caputo derivatives. In this article we consider a linear Cauchy problem described by differential equations with fractional Caputo derivatives. Using an analogue of the Cauchy matrix we find an explicit representation of the solution to the problem in question.
Keywords: Differential equation, Fractional Caputo derivative, Cauchy matrix, Representation of solution of a problem
DOI: https://doi.org/10.54381/icp.2023.1.04
Representation of the solution of a system of fractional linear differential equations with Caputo derivatives for modeling processes in fractal media
An increasing amount of attention is currently being paid to the fundamentals of mathematical modeling of nonlocal heat and mass transfer processes in fractal media. Such physical processes are described by a system of fractional linear differential equations with Caputo derivatives. In this article we consider a linear Cauchy problem described by differential equations with fractional Caputo derivatives. Using an analogue of the Cauchy matrix we find an explicit representation of the solution to the problem in question.
Keywords: Differential equation, Fractional Caputo derivative, Cauchy matrix, Representation of solution of a problem
DOI: https://doi.org/10.54381/icp.2023.1.04