Remarks on decaying solutions to distributed order differential equations

In the paper "Remarks on decaying solutions to distributed order differential equations", we present results on the asymptotic behavior of the solutions to distributed order differential equations in Euclidean spaces. The paper develops some recent results in [1] on fractional differential equations to the case of more general nonlocal derivatives. We utilize the detailed behavior of the relaxation functions instead of the Mittag–Leffler functions. The typical decaying rate is logarithmic due to the ultra-slow phenomenon.