Shakir Ali - Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, India
Mohammad Khan - Department of Applied Mathematics, Z. H. College of Engineering & Technology Aligarh Muslim University, Aligarh, India
Mohammed Ayedh - Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, India
Vaishali Varshney - Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, India

Let R be a prime ring, \alpha an automorphism of R and b an element of Q, the maximal right ring of quotients of R. The main purpose of this paper is to characterize skew b-derivations in prime rings which satisfy various differential identities. Further, we provide an example to show that the assumed restrictions cannot be relaxed.

Automorphism, Derivation, Skew b-derivation, Skew derivation, Prime ring