Geodesic
Linear Fractional PDE, Uniqueness of Global Solutions
Fractional calculus and applied analysis, Tome 8 (2005) no. 1, pp. 53-62.

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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.
Keywords: Functional Calculus, Fractional Calculus, 26A33, 47A60, 30C15 
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Schäfer, Ingo; Kempfle, Siegmar; Nolte, Bodo. Linear Fractional PDE, Uniqueness of Global Solutions. Fractional calculus and applied analysis, Tome 8 (2005) no. 1, pp. 53-62. http://geodesic.mathdoc.fr/item/FCAA_2005_8_1_a2/