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SOLVING THE INVERSE PROBLEM OF FINDING THE SOURCE FUNCTION IN FRACTIONAL ORDER EQUATIONS

Abstract

In this paper , the solution of inverse problems for fractional partial differential equations in the sense of Caputo is studied. In Caputo's sense show that the solution of the partial differential equation of fractional order exists and is unique , and it is intended to obtain results regarding the correct and inverse problem of determining the source function caught.

Keywords

Fractional equation, Mittag-Leffler function, Caputo fractional derivative, exact problem, inverse problem, Fourier series.

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