Fractional differential equations with a Krasnoselskii-Krein type condition

Nonlinear Analysis: Hybrid Systems

Volumn 3, Issue 4, 2009, Pages 734-737

  Bhaskar, T Gnana ^a   Lakshmikantham, V ^a   Leela, S ^b  

^a Florida Institute of Technology ^*  (United States)

^b STATE UNIVERSITY OF NEW YORK   (United States)

Author keywords

Caputo derivative; Fractional differential equations; Krasnoselskii Krein type conditions

Indexed keywords

CAPUTO DERIVATIVE; CAPUTO DERIVATIVES; FRACTIONAL DIFFERENTIAL EQUATIONS; KRASNOSELSKII-KREIN TYPE CONDITIONS; SUCCESSIVE APPROXIMATIONS; UNIQUENESS THEOREM;

APPROXIMATION THEORY; INITIAL VALUE PROBLEMS;

DIFFERENTIAL EQUATIONS;

EID: 68749089513     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2009.06.010     Document Type: Article

References (5)

1. Agarwal R.P., and Lakshmikantham V. Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations (1993), World Scientific, Singapore
2. Kooi O. The method of successive approximations and a uniqueness theorem of Krasnoselskii-Krein in the theory of differential equations. Nederi. Akad. Wetensch, Proc. Ser. A61; Indag. Math. 20 (1958) 322-327
3. ′ = f (x, y), Usphe. Mat. Nauk (N.S) 11 1 (1956) 209-213 (Russian: Math. Reviews 18, p. 38)
4. Lakshmikantham V., Leela S., and Vasundhara Devi J. Theory of Fractional Dynamical Systems (2009), Cambridge Academic Publishers, Cambridge
5. Lakshmikantham V., and Leela S. Krasnoselskii-Krein type uniqueness result for fractional differential equations. Nonlinear Anal. TMA 71 7-8 (2009) 3421-3424