@article{Ahmed2024, 
author = {Wasim Ahmed and Amal S. Alali and Muzibur Rahman Mozumder},
title = {Characterization of    (  α  ,  β  ) Jordan bi-derivations in prime rings},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {14549-14557},
keywords = {prime ring, Jordan derivation, symmetric (α, β) Jordan bi-derivation},
url = {https://www.sciopen.com/article/10.3934/math.2024707},
doi = {10.3934/math.2024707},
abstract = {Let        S   be a prime ring with automorphisms    α  ,  β. A bi-additive map        D   is called an (   α  ,  β) Jordan bi-derivation if        D    (      k    2    ,  s  )  =      D    (  k  ,  s  )  α  (  k  )  +  β  (  k  )      D    (  k  ,  s  ). In this paper, we find conditions under which a symmetric (   α  ,  β) Jordan bi-derivation becomes a symmetric (   α  ,  β) bi-derivation. We also characterize the symmetric    (  α  ,  β  ) Jordan bi-derivations.}
}