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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

Аннотация

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.

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