Existence in the Large for Caputo Fractional Multi-Order Systems with Initial Conditions

One of the key applications Caputo fractional derivative is that order can be utilized as a parameter to improve mathematical model by comparing it real data. To do so, we must first establish solution dynamic equations exists and unique on its interval existence. The vast majority existence uniqueness results available in literature, including Picard’s method, for ordinary and/or will result only local results. In this work, generalize method obtain nonlinear multi-order system with initial conditions, where bounded. challenge presented our main developing generalized form Mittag–Leffler function cooperate all different orders involved differential system. have developed suffices As result, obtained conditions large. short, norm both theoretical computational computing