Geodesic
Caushy Problem for Fractional Nonlinear Equation in Defined Class with Local-Nonlocal Setting
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2010), pp. 214-217.

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Theorem of existence and uniqueness of Cauchy problem solution for fractional nonlinear equation with local-nonlocal setting is proved.
Keywords: fractional differential equation, local-nonlocal setting of Cauchy problem. 
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V. A. Chadaev. Caushy Problem for Fractional Nonlinear Equation in Defined Class with Local-Nonlocal Setting. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2010), pp. 214-217. http://geodesic.mathdoc.fr/item/VSGTU_2010_1_a24/

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[3] Kilbas A. A., Srivastava H. M., Trujillo J.J., “Theory and Applications of Fractional Differential Equations”, North-Holland Mathematics Studies, 204, ed. J. van Mill, Elsevier, Amsterdam, 2006 | MR | Zbl