A nonlocal problem with integral gluing condition for a third‐order loaded equation with parabolic‐hyperbolic operator involving fractional derivatives
Praveen AgarwalDepartment of Mathematics Anand International College of Engineering Jaipur IndiaObidjon Kh. AbdullaevDepartment of Differential Equations and Mathematical Physics National University of Uzbekistan Tashkent Uzbekistan
ABI
Abstract
This work devoted to prove of uniqueness and existence of solution of the nonlocal problem with integral gluing condition for the loaded parabolic‐hyperbolic type equation involving Caputo derivatives which loaded parts in Riemann‐Liouville integral‐differential operator. Using the method of integral energy, the uniqueness of solution have been proved. Existence of solution was proved by the method of integral equations.