in this paper, we solve the quadratic $alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{-2}f(alpha(x-y)); (0.1)$ where $alpha$ is a fixed non-archimedean number with $alpha^{-2}neq 3$. using the fixed point method and the direct method, we prove the hyers-ulam stability of the quadratic $alpha$-functional equation (0.1) in non-archimedean banach spaces.

A bstract We investigate the phase shifts of low-energy ? - scattering under variations fundamental parameters Standard Model, namely light quark mass, electromagnetic fine-structure constant as well QCD ? -angle. As a first step, we recalculate in our Universe utilizing various improvements adiabatic projection method, which leads to an improved, parameter-free prediction S- and D-wave for lab...

serum alpha-tocopherol of98(62 male and 36 female) cancer patients and 30 (13 male and 17 female) control healthy subjects was investigated. the cancer patients showed a significantly low level of alpha-tocopherol as compared to control healthy subjects. also, significantly higher levels of serum alpha-tocopherol were found in complete remission patients as compared to the partial response pati...

we introduce the notion ofstrongly $alpha$-reversible rings which is a strong version of$alpha$-reversible rings, and investigate its properties. we firstgive an example to show that strongly reversible rings need not bestrongly $alpha$-reversible. we next argue about the strong$alpha$-reversibility of some kinds of extensions. a number ofproperties of this version are established. it is shown ...