I have derived two equations of the following type $$ \dfrac{\partial A}{\partial x}=a\dfrac{\partial B}{\partial t}-b\dfrac{\partial^3 B}{\partial x^2 \partial t}$$ and $$ \dfrac{\partial B}{\partial x}=\int _0^l e^{-\lambda|x-x'|}\dfrac{\partial A(x')}{\partial t} dx'$$ Where $A$ and $B$ are functions of $x$ and $t$, $x$ and $x'$ are any point between $0$ and $l$ and $a, b, \lambda$ are constants.
Is it possible to transform these two equations into a single partial differential equation for $B$?