Article

Obtaining a representation of the solution of the Cauchy problem for one equation with a fractional derivative and applying it to the equation of forced beam vibrations

B. Yu. IrgashevNamangan Engineering Construction Institute Institute of Mathematics of the Republic of Uzbekistan Tashkent Uzbekistan

Mathematical Methods in the Applied Sciencesjournal2022en

ABI

Abstract

In the article, a representation of the solution of a Cauchy‐type problem for a high‐order equation with a fractional Hilfer derivative is obtained. The uniqueness of the solution of the stated problem is shown. The obtained solutions are applied to obtain a unique solution of the Cauchy problem for the equation of forced vibrations of the beam.

Topics

Fractional Differential Equations Solutions Differential Equations and Boundary Problems Differential Equations and Numerical Methods

Identifiers

DOI: 10.1002/mma.8948

Citations and references

Cited by 1 14 references

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