Solvability of a mixed problem with the integral gluing condition for a loaded equation with the Riemann-Liouville fractional operator

Abstract

Inthispaper,westudyboundaryvalueproblemswithanintegralgluingconditionfor a loadedequationof parabolic–hyperbolic type. Theexistenceanduniquenessof the problemunderstudyareprovedbasedontheuniquesolvabilityobtainedfromintegral andloadedintegralequations.