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Title

GENERALIZATION OF THE FRACTIONAL FLOQUET THEORY

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Abstract

 IN THIS PAPER, WE EXPRESS THE TOPOLOGICAL EQUIVALENCE FOR THE PERIODIC SYSTEMS OF FRACTIONAL DERIVATIVE WHICH LEADS TO THE NECESSARY AND SUFFICIENT CONDITIONS FOR TOPOLOGICAL EQUIVALENCE OF A SYSTEM WITH THE MODIFIED RIEMANN-LIOUVILLE DERIVATIVE. ALSO, WE GENERALIZE THE FRACTIONAL FLOQUET THEORY FOR LINEAR SYSTEM WITH A PERIODIC COEFFICIENT.

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