NDLI: Studies on impulsive differential models with multi-term Riemann

Content Provider	SpringerLink
Author	Liu, Yuji
Copyright Year	2015
Abstract	In this article, two impulsive models for fractional differential equations are proposed. By converting the impulsive fractional differential equations into integral equations technically, some existence results on solutions of two classes of initial value problems for nonlinear singular multi-term fractional differential models with impulses involving Riemann–Liouville fractional derivatives are established. The first one has a single base point and the second one has multiple base points. In both cases, the corresponding fractional derivative of lower order is involved in the fractional differential equations. Our results improve some known theorems see Remarks 4.1 and 5.1. Examples are presented to illustrate the main theorems. Finally we give a conclusions section in which some basic errors in a recent paper involving impulsive fractional equations with the Riemann–Liouville derivative are addressed, see Claim 7.1 and Remark 7.2.
Starting Page	529
Ending Page	565
Page Count	37
File Format	PDF
ISSN	15985865
Journal	Journal of Applied Mathematics and Computing
Volume Number	52
Issue Number	1-2
e-ISSN	18652085
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-11-09
Publisher Place	Berlin, Heidelberg
Access Restriction	Subscribed
Subject Keyword	Initial value problem Multi-term fractional differential model Impulse effect Base point Riemann–Liouville fractional derivative Fixed-point theorem Population dynamics Differential equations with impulses Fractional derivatives and integrals Fractional differential equations Computational Mathematics and Numerical Analysis ApplicationMathematics/Computational Methods of Engineering Theory of Computation Mathematics of Computing
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics Applied Mathematics

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