Geodesic
Inverse coefficient problem for the semi-linear fractional telegraph equation
Electronic journal of differential equations, Tome 2015 (2015)
We establish the unique solvability for an inverse problem for semi-linear fractional telegraph equation

$ D^\alpha_t u+r(t)D^\beta_t u-\Delta u=F_0(x,t,u,D^\beta_t u), \quad (x,t) \in \Omega_0\times (0,T] $

with regularized fractional derivatives

$ \int_{\Omega_0}u(x,t)\varphi(x)dx=F(t), \quad t\in [0,T] $

with given functions $\varphi$ and $F$.
Classification : 35S15
Keywords: fractional derivative, inverse boundary value problem, over-determination integral condition, Green's function, integral equation 
@article{EJDE_2015__2015__a35,
     author = {Lopushanska,  Halyna and Rapita,  Vitalia},
     title = {Inverse coefficient problem for the semi-linear fractional telegraph equation},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1322.35177},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a35/}
}
TY  - JOUR
AU  - Lopushanska,  Halyna
AU  - Rapita,  Vitalia
TI  - Inverse coefficient problem for the semi-linear fractional telegraph equation
JO  - Electronic journal of differential equations
PY  - 2015
VL  - 2015
UR  - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a35/
LA  - en
ID  - EJDE_2015__2015__a35
ER  - 
%0 Journal Article
%A Lopushanska,  Halyna
%A Rapita,  Vitalia
%T Inverse coefficient problem for the semi-linear fractional telegraph equation
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a35/
%G en
%F EJDE_2015__2015__a35
Lopushanska,  Halyna; Rapita,  Vitalia. Inverse coefficient problem for the semi-linear fractional telegraph equation. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a35/