Solution of the problem with initial conditions for the equation high-order fractional Hilfer derivative

2021/01/16 by Irgashev, B. Yu.
#2010.35G31 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2101.06403

Abstract

In this paper, with the help of previously constructed self-similar solutions, we construct a solution to a Cauchy-type problem for an even-order high-order equation with a fractional derivative in the sense of Hilfer

Related

• Obtaining a representation of the solution to the Cauchy problem for equation high-order fractional derivative, by the method of finding self-similar solutions
• Study of fractional evolution equations involving Hilfer fractional derivative of order 1
• Existence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations
• On existence and approximation of solution of nonlinear Hilfer fractional differential equation
• Finding a General Solution to a Degenerate Equation with a Fractional Derivative