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In the present work, we investigate a uniqueness of solution of the inversesource problem with non-local conditions for mixed parabolic-hyperbolic typeequation with Caputo fractional derivative. Solution of the problem werepresent as bi-orthogonal series with respect to space variable and will getfractional order differential equations with respect to time-variable. Usingboundary and gluing conditions, we deduce system of algebraic equationsregarding unknown constants and imposing condition to the determinant of thissystem, we prove a uniqueness of considered problem. Moreover, we find somenon-trivial solutions of the problem in case, when imposed conditions are notfulfilled.

Uniqueness of an inverse source non-local problem for fractional order mixed type equation