On the existence and uniqueness and formula for the solution of R-L fractional cauchy problem in ℝn-Reference-Cited by-同舟云学术

On the existence and uniqueness and formula for the solution of R-L fractional cauchy problem in ℝn

Published:2011-09-29 Issue:4 Volume:14 Page:538-553
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Idczak Dariusz¹,Kamocki Rafal¹

Affiliation:

1. Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238, Lodz, Poland

Abstract

Abstract In this paper we obtain results on the existence and uniqueness of a solution to a fractional nonlinear Cauchy problem containing the Riemann-Liouville derivative, in a fractional counterpart of the set of ℝn-valued absolutely continuous functions. We also derive a Cauchy formula for the solution to the linear problem of such a type.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.2478/s13540-011-0033-5.pdf

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