Abstract
For a linear differential equation in a Banach space with a degenerate operator multiplying the fractional Gerasimov–Caputo derivative, we prove a theorem on the existence of a unique solution of the inverse problem with an unknown time-dependent coefficient. It is assumed that the relative boundedness condition is satisfied for the pair of operators occurring in the equation and an overdetermation condition with an operator whose kernel contains the degeneracy subspace of the equation under study is specified. The result obtained is illustrated with an example of a model system of partial differential equations unsolved for the fractional time derivative, containing an unknown coefficient, and equipped with initial and boundary conditions and an overdetermination condition.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
