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AN INVERSE PROBLEM FOR A FRACTIONAL PARABOLIC EQUATION WITH INVOLUTION

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Scientific Reports of Fergana State University

Scientific Reports of Fergana State University

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ARTICLE ANNOTATION

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In this paper, we consider an inverse problem for a fourth-order fractional parabolic equation with a fractional Caputo operator and involution. Using the method of separation of variables, the solution to the problem is constructed in the form of a Fourier series. Theorems on the existence and uniqueness of a solution to the considered problem are proved. A criterion for the existence and uniqueness of a regular solution of the problem in a given domain is established. Obtained results can be used in the study of boundary value problems for partial differential equations of fractional order, as well as in the theory of equations of mathematical physics.

AUTHORS

B.Kadirkulov

Tashkent State University of Oriental Studies

M.Jalilov

Fergana State University

Tags

# involyutsiya qatnashgan differen# Koshi-Shvars tengsizligi# kasr tartibli integro- differens# Kaputo operatori# дифференциальное уравнение с инв# неравенство Коши-Шварца# оператор дробного интегро-диффер# оператор Капуто# differential equation with invol# Cauchy-Schwarz inequality# fractional integro-differentiati# Kaputo operator

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Article Identifiers

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https://eroi.uz/11.0106/A1022-0076

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Not Available

References

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