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Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions

By Marius-F. Danca

Abstract

In this letter we are concerned with the possibility to approach the existence of solutions to a class of discontinuous dynamical systems of fractional order. In this purpose, the underlying initial value problem is transformed into a fractional set-valued problem. Next, the Cellina's Theorem is applied leading to a single-valued continuous initial value problem of fractional order. The existence of solutions is assured by a P\'{e}ano like theorem for ordinary differential equations of fractional order.Comment: accepted IJBC, 5 pages, 1 figur

Topics: Nonlinear Sciences - Chaotic Dynamics
Year: 2011
DOI identifier: 10.1142/S0218127411030519
OAI identifier: oai:arXiv.org:1103.1233
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