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arXiv · 1103.1233

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

Marius-F. Danca
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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 Péano like theorem for ordinary differential equations of fractional order.

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Marius-F. Danca. 2011-03-07. Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions. https://doi.org/10.1142/s0218127411030519

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