5 papers
Operator approach for time-fractional evolution equations in Banach spaces
Giuseppe Floridia, Fikret Golgeleyen, Masahiro Yamamoto
Our first main purpose is to establish a framework for initial value problems for time-fractional evolution equation of order in Banach space : $$ \pppa (u(t)-a) =…
Initial boundary value problems for time-fractional evolution equations in Banach spaces
Giuseppe Floridia, Fikret Golgeleyen, Masahiro Yamamoto
We consider an initial value problem for time-fractional evolution equation in Banach space : $$ \pppa (u(t)-a) = Au(t) + F(t), \quad 0<t<T. \eqno{(*)} $$ Here $u: (0,T) \rrrr X…
Inverse coefficient problem for one-dimensional evolution equation vanishing initial condition
Oleg Y, Imanuvilov, Masahiro Yamamoto
We consider an inverse problem of determining a coefficient of an evolution equation $Ï\ppp_tu = a(x)\ppp_x^2u - p(x)u$ for and , where $Ï\in \C \setminu…
Inverse coefficient problems for one-dimensional time-fractional diffusion equations
Oleg Imanuvilov, Kazufumi Ito, Masahiro Yamamoto
We prove the uniqueness in determining a spatially varying zeroth-order coefficient of a one-dimensional time-fractional diffusion equation by initial value and Cauchy data at one…
One-dimensional coefficient inverse problems by transformation operators
Oleg Imanuvilov, Masahiro Yamamoto
We prove the uniqueness for an inverse problem of determining a matrix coefficient of a system of evolution equations $Ï\ppp_t u = \ppp_x^2 u(t,x) - P(x) u(t,x)$ for $0<x<\…