Article ID Journal Published Year Pages File Type
4672898 Indagationes Mathematicae 2014 17 Pages PDF
Abstract

This paper is concerned with Riemann–Liouville abstract fractional Cauchy Problems with damping. The notion of Riemann–Liouville fractional (α,β,c)(α,β,c) resolvent is developed, where 0<β<α≤10<β<α≤1. Some of its properties are obtained. By combining such properties with the properties of general Mittag-Leffler functions, existence and uniqueness results of the strong solution of Riemann–Liouville abstract fractional Cauchy Problems with damping are established. As an application, a fractional diffusion equation with damping is presented.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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