Generalized Taylor formulas involving generalized fractional derivatives

Mondher Benjemaa

In this paper, we establish a generalized Taylor expansion of a given function $f$ in the form $f(x)=\sum _{j=0}^m{c}_j^{\alpha ,\rho }{\left(x^{\rho }-a^{\rho }\right)}^{j\alpha }+e_m(x)$ \noi…