Article

Solution of a Problem with Initial Conditions of the Cauchy Type for a Higher-Order Equation with a Hilfer Fractional Derivative

B. Yu. IrgashevNamangan Institute of Engineering and Construction, Namangan, 160100, Uzbekistan

Differential Equationsjournal2022en

ABI

Abstract

A Cauchy type problem for a higher-order equation with a Hilfer fractional derivative is considered. Existence and uniqueness theorems are proved for the solution of the problem in the class of bounded functions, the solution being constructed with the help of self-similar solutions.

Topics

Differential Equations and Boundary Problems Fractional Differential Equations Solutions Nonlinear Differential Equations Analysis

Identifiers

DOI: 10.1134/s001226612209004x

Citations and references

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