Ahmad, Bashir; Ntouyas, Sotiris K. A note on fractional differential equations with fractional separated boundary conditions. (English) Zbl 1244.34004 Abstr. Appl. Anal. 2012, Article ID 818703, 11 p. (2012). Summary: We consider a new class of boundary value problems of nonlinear fractional differential equations with fractional separated boundary conditions. A connection between classical separated and fractional separated boundary conditions is developed. Some new existence and uniqueness results are obtained for this class of problems by using standard fixed point theorems. Some illustrative examples are also discussed. Cited in 21 Documents MSC: 34A08 Fractional ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations 47N20 Applications of operator theory to differential and integral equations × Cite Format Result Cite Review PDF Full Text: DOI References: [1] I. 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Balachandran, “On recent developments in the theory of abstract differential equations with fractional derivatives,” Nonlinear Analysis, vol. 73, no. 10, pp. 3462-3471, 2010. · Zbl 1229.34004 · doi:10.1016/j.na.2010.07.035 [13] B. Ahmad and S. Sivasundaram, “On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order,” Applied Mathematics and Computation, vol. 217, no. 2, pp. 480-487, 2010. · Zbl 1207.45014 · doi:10.1016/j.amc.2010.05.080 [14] B. Ahmad, S. K. Ntouyas, and A. Alsaedi, “New existence results for nonlinear fractional differential equations with three-point integral boundary conditions,” Advances in Difference Equations, Article ID 107384, p. 11, 2011. · Zbl 1204.34005 · doi:10.1155/2011/107384 [15] B. Ahmad and S. K. 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