Solution set for fractional differential equations with Riemann-Liouville derivative-Reference-Cited by-同舟云学术

Solution set for fractional differential equations with Riemann-Liouville derivative

Published:2013-06-26 Issue:3 Volume:16 Page:682-694
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Chalco-Cano Yurilev¹,Nieto Juan,Ouahab Abdelghani²,Román-Flores Heriberto¹

Affiliation:

1. Instituto de Alta Investigación, Universidad de Tarapacá, Arica, Chile

2. Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès, Algérie

Abstract

Abstract We study an initial value problem for a fractional differential equation using the Riemann-Liouville fractional derivative. We obtain some topological properties of the solution set: It is the intersection of a decreasing sequence of compact nonempty contractible spaces. We extend the classical Kneser’s theorem on the structure solution set for ordinary differential equations.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.2478/s13540-013-0043-6.pdf

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