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Nonsmooth analysis and fractional differential equations. (English) Zbl 1237.49022

Summary: We study Euler solutions, strong and weak invariance of solutions for fractional differential equations.

MSC:

49J52 Nonsmooth analysis
34A08 Fractional ordinary differential equations
34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
34A60 Ordinary differential inclusions
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[1] Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R., Nonsmooth Analysis and Control Theory (1998), Springer Verlag: Springer Verlag New York · Zbl 0951.49003
[2] Kilbas, A. A.; Srivatsava, H. M.; Trujillo, J. J., Theory and Applications of Fractional Differential Equations (2006), Elsevier: Elsevier Amsterdam
[3] Lakshmikantham, V.; Vasundhara Devi, J., Theory of fractional differential equations in a Banach space, European J. Pure Appl. Math., 1, 1, 38-45 (2008) · Zbl 1146.34042
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