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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
ABI

Аннотация

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.

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