Document Type : Review articles
Dr. Babasaheb Ambedkar Marathwada
University, Aurangabad, 431004 India
Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004 India
We consider the initial value problem for a class of nonlinear fractional neutral functional differential equations with infinite delay involving the standard fractional derivative in the sense of Caputo. By using a variety of tools of fractional calculus including the Banach contraction principle and the Schaefer fixed point theorem, the existence, uniqueness and continuous dependence results are obtained in the space of continuous functions.