Well-Posedness Of Non Local Boundary Conditions For Fractional Diffusion-Wave Equations

Abstract

In this thesis well-posedness of non-local boundary conditions for fractional diffusion wave equation was analyzed. We used the limiting properties of the Wright function and Riemman Liouville fractional derivative which leads to a regular solution. We have established nec essary non-local conditions which satisfy all regular solutions for fractional diffusion wave equations in rectangular domain. Well-posedness of boundary value problems on the given domain is shown which guarantees the existence and uniqueness by considering certain theo rems and illustrated by examples. Finally we have established the criteria for well-posedness of fractional diffusion wave equation problems on non-local boundary conditions.