Existence and uniqueness results for mixed derivative involving fractional operators.

In this article, we discuss the existence and uniqueness results for mix derivative involving fractional operators of order β∈(1,2) and γ∈(0,1). We prove some important results by using integro-differential equation of pantograph type. We establish the existence and uniqueness of the solutions using fixed point theorem. Furthermore, one application is likewise given to represent our fundamental results. [ABSTRACT FROM AUTHOR]