On the well-posedness of determination of two coefficients in a fractional integrodifferential equation

Abstract

The authors study an inverse problem for a fractional integrodifferential equation, which aims to determine simultaneously two time varying coefficients, a kernel function and a source function, from the additional integral overdetermination condition. By using the fixed point theorem in suitable Sobolev space, the global existence and uniqueness results of this inverse problem are obtained.

Keywords

Inverse problem / Fractional integrodifferential equation / Existence / Uniqueness

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