Inverse Boundary Value Problem for a Fractional Differential Equations of Mixed Type with Integral Redefinition Conditions

In this paper, we consider an inverse boundary value problem for a mixed type partial differential equation with Hilfer operator of fractional integro-differentiation in positive rectangular domain and spectral parameter negative domain. The depends from another derivatives. With respect to first variable is fractional-order nonhomogeneous the part considering segment, second second-order segment. Using Fourier series method, solutions direct problems are constructed form series. Theorems on existence uniqueness proved regular values parameter. It stability solution redefinition functions, given For irregular parameter, infinite number constructed.