Existence of solution for boundary value problem of nonlinear fractional differential equation

Applied Mathematics

Volumn 22, Issue 3, 2007, Pages 291-298

  Su, Xinwei ^a   Liu, Landong ^a  

^a CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

Author keywords

Boundary value problem; Caputo's fractional derivative; Fractional differential equation; Schauder fixed point theorem

Indexed keywords

EID: 34548772314     PISSN: 10051031     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11766-007-0306-2     Document Type: Article

References (7)

1. Bai Z B, Lü H S. Positive solutions for boundary value problem of nonlinear fractional differential equation, J Math Anal Appl, 2005, 311: 495-505.
2. Zhang S Q. Positive solutions for boundary-value problems of nonlinear fractional differential equations, Electronic Journal of Differential Equations, 2006, 36: 1-12.
3. Samko S G, Kilbas A A, Marichev O I. Fractional Integrals and Derivatives (Theory and Applications), Yverdon, Switzerland: Gordon and Breach, 1993.
4. Podlubny I. Fractional Differential Equations, Mathematics in Science and Engineering, New York/Londin/Toronto: Academic Press, 1999, vol, 198.
5. Delbosco D, Rodino L. Existence and uniqueness for a nonlinear fractional differential equation, J Math Anal Appl, 1996, 204: 609-625.
6. Gejji V D, Jafari H. Adomian decomposition: A tool for solving a system of fractional differential equations, J Math Anal Appl, 2005, 301: 508-518.
7. Schmitt K. A nonlinear boundary value problem, Journal of Differential Equations, 1970, 7:527-537.