Geodesic
Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 2, pp. 85-100.

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In this paper, generalized boundary value problems for nonlinear fractional Langevin equations is studied. Some new existence results of solutions in the balls with different radius are obtained when the nonlinear term satisfies nonlinear Lipschitz and linear growth conditions. Finally, two examples are given to illustrate the results.
Classification : 26A33, 34A12, 34G20
Keywords: Nonlinear fractional Langevin equations; boundary value problems; existence; fixed point theorem 
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Li, Xuezhu; Medveď, Milan; Wang, Jin Rong. Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 2, pp. 85-100. http://geodesic.mathdoc.fr/item/AUPO_2014__53_2_a5/