Monotone Iterative Technique for a Coupled System of Nonlinear Conformable Fractional Dynamic Equations on Time Scales

Abstract

In this paper, we investigate the existence of extremal solutions for a coupled system of nonlinear conformable fractional dynamic equations on time scales, by applying the monotone iterative technique combined with the method of lower and upper solutions. At last, an example is given to illustrate our main result.

Key words and phrases. Conformable fractional calculus on time scales, conformable fractional dynamic equation, comparison principles, upper and lower solutions, monotone iterative method.

2010 Mathematics Subject Classification. 34A08, 34A12, 34B15, 34N05, 26A33, 26E70