REMARKS ON DECAYING SOLUTIONS TO DISTRIBUTED ORDER DIFFERENTIAL EQUATIONS

DOI: 10.18173/2354-1059.2021-0027

Abstract

In this paper, 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.