The Existence of Solution for k-Dimensional System of Langevin Hadamard-Type Fractional Differential Inclusions with 2k Different Fractional Orders

In this paper, we investigate the existence of solution for k-dimensional system of Langevin Hadamard-type fractional differential inclusions with 2k different fractional orders. Our investigate relies on fixed point theorems and covers the cases when the right-hand side of the inclusion is sum of two multifunctions. Also, we provide an example to illustrate our main results.