Shekhar Negi

The main focus of my research is to study a new unied approach of derivative of continuous and discrete calculus, that is, a unication theory of dierential and dierence equations on time scale. It has many applications in sev- eral elds, like, Population model, Economics, Neural network, social sciences, and quantum physics, etc. During my research, I have established a new way of nding a derivative of continuous and discrete calculus on time scale, I called it "Black- delta derivative". I have also obtained some fundamental results in mathematical science based on the derivative. I have also studied some connection between the derivative and preexisting derivative (Hilger-derivative). Moreover, a new form of exponential function has been discussed in one of my papers. Apart from this, I have also worked on some oscillatory results for the rst and second-order dynamic equations on time scale. Now I am interested in to derive a new derivative on time scale which generalized both the derivative (Hilger and Black- derivative) on time scale.