Cosmological implications of Rastall- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> theory

Cosmological implications of a generalized Rastall theory where the non-conservation equation is promoted to accepts arbitrary functions Ricci scalar considered. We have obtain model parameters power-law ansatz $f\propto R^\eta$, using $H_0$ and $f\sigma_8$ data sets show that could satisfy observational data. The dynamical analysis shows for $\eta\in(0,1)$, dust dominated fixed point lost as result parameter range $\eta$ should be restricted $\eta\geq1$. will also genralized predict more accelerating universe with larger radius, compared $\Lambda$CDM model.