Inverse source problem for an equation of mixed parabolic-hyperbolic type with the time fractional derivative in a cylindrical domain
نویسندگان
چکیده
This article is devoted to the study of an inverse source problem for a mixed type equation with fractional diffusion in parabolic part and wave hyperbolic cylindrical domain. The solution obtained form FourierBessel series expansion using orthogonal set Bessel functions. theorems uniqueness existence are proved.
منابع مشابه
Optimal results for a time-fractional inverse diffusion problem under the Hölder type source condition
In the present paper we consider a time-fractional inverse diffusion problem, where data is given at $x=1$ and the solution is required in the interval $0
متن کاملSolving the inverse problem of determining an unknown control parameter in a semilinear parabolic equation
The inverse problem of identifying an unknown source control param- eter in a semilinear parabolic equation under an integral overdetermina- tion condition is considered. The series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (WHAM). A description of the method for solving the problem and nding the unknown parameter is derived. Finally, tw...
متن کاملSOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL EQUATION METHODS
In this paper, a nonlinear inverse problem of parabolic type, is considered. By reducing this inverse problem to a system of Volterra integral equations the existence, uniqueness, and stability of the solution will be shown.
متن کاملoptimal results for a time-fractional inverse diffusion problem under the hölder type source condition
in the present paper we consider a time-fractional inverse diffusion problem, where data is given at $x=1$ and the solution is required in the interval $0
متن کاملA Parabolic Problem with a Fractional Time Derivative
We study regularity for a parabolic problem with fractional diffusion in space and a fractional time derivative. Our main result is a De Giorgi-Nash-Moser Hölder regularity theorem for solutions in a divergence form equation. We also prove results regarding existence, uniqueness, and higher regularity in time.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ??????? ?????????? ???????????????? ???????????? ????????????
سال: 2022
ISSN: ['1814-3520', '2500-1590']
DOI: https://doi.org/10.14498/vsgtu1921