EXISTENCE AND UNIQUENESS RESULTS FOR FRACTIONAL DIFFERENTIAL EQUATIONS VIA MONOTONE METHOD

Abstract In this paper, an attempt has been made to consider the review on the study of existence and uniqueness of solutions of fractional initial value problems, fractional boundary value problems, fractional periodic boundary value problems and fractional integral boundary value problems involving Riemann-Liouville and Caputo type fractional derivatives of order q (0 < q < 1), via well known constructive and computational method widely known as monotone method. Study of existence and uniqueness of solution of system of problems is also considered and monotone method is developed for such problems