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Linear Fractional PDE, Uniqueness of Global Solutions

Schäfer, IngoKempfle, SiegmarNolte, Bodo — 2005

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 26A33, 47A60, 30C15. In this paper we treat the question of existence and uniqueness of solutions of linear fractional partial differential equations. Along examples we show that, due to the global definition of fractional derivatives, uniqueness is only sure in case of global initial conditions.

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