Vasundhara Devi, J.; Lakshmikantham, V. Nonsmooth analysis and fractional differential equations. (English) Zbl 1237.49022 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 12, 4151-4157 (2009). Summary: We study Euler solutions, strong and weak invariance of solutions for fractional differential equations. Cited in 1 ReviewCited in 30 Documents 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 Keywords:Euler solutions; fractional differential equations; strong and weak invariance PDF BibTeX XML Cite \textit{J. Vasundhara Devi} and \textit{V. Lakshmikantham}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 12, 4151--4157 (2009; Zbl 1237.49022) Full Text: DOI OpenURL References: [1] Clarke, F.H.; Ledyaev, Yu.S.; Stern, R.J.; Wolenski, P.R., Nonsmooth analysis and control theory, (1998), 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 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 [4] V. Lakshmikantham, A.S. Vatsala, Basic theory of fractional differential equations, Nonlinear Anal. (in press) Corrected Proof, Available online 27 August 2007 [5] Lakshmikantham, V.; Vatsala, A.S., General uniqueness and monotone iterative technique for fractional differential equations, Appl. math. lett., 21, 8, 828-834, (2008) · Zbl 1161.34031 [6] Podlubny, I., Fractional differential equations, (1999), Academic Press San Diego · Zbl 0918.34010 [7] F.A. Mc Rae, Monotone iterative technique and existence results for fractional differential Equations (in press) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.