Boundary value problem for a coupled system of nonlinear fractional differential equations

Applied Mathematics Letters

Volumn 22, Issue 1, 2009, Pages 64-69

  Su, Xinwei ^a  

^a CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

Author keywords

Boundary value problem; Coupled system; Existence; Fixed point theorem; Fractional derivative; Green's function; Growth condition

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; GREEN'S FUNCTION; INITIAL VALUE PROBLEMS; MATHEMATICAL OPERATORS; PROBABILITY DENSITY FUNCTION;

BOUNDARY VALUE PROBLEM; COUPLED SYSTEM; EXISTENCE; FIXED-POINT THEOREM; FRACTIONAL DERIVATIVE; GROWTH CONDITION;

NONLINEAR EQUATIONS;

EID: 55649098198     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2008.03.001     Document Type: Article

References (11)

1. Podlubny I. Fractional Differential Equations. Mathematics in Science and Engineering vol. 198 (1999), Academic Press, New York, London, Toronto
2. Kilbas A.A., Srivastava H.M., and Trujillo J.J. Theory and Applications of Fractional Differential Equations (2006), Elsevier B.V., Amsterdam
3. Nakhushev A.M. The Sturm-Liouville problem for a second order ordinary differential equation with fractional derivatives in the lower terms. Dokl. Akad. Nauk SSSR 234 (1977) 308-311
4. Aleroev T.S. The Sturm-Liouville problem for a second order ordinary differential equation with fractional derivatives in the lower terms. Differ. Uravneniya 18 2 (1982) 341-342 (in Russian)
5. Zhang S.Q. Existence of solution for a boundary value problem of fractional order. Acta Math. Sci. 26B 2 (2006) 220-228
6. Zhang S.Q. Positive solutions for boundary-value problems of nonlinear fractional differential equations. Electron. J. Differential Equations 36 (2006) 1-12
7. Bai Z.B., and Lü H.S. Positive solutions for boundary value problem of nonlinear fractional differential equation. J. Math. Anal. Appl. 311 2 (2005) 495-505
8. Bai C.Z., and Fang J.X. The existence of a positive solution for a singular coupled system of a nonlinear fractional differential equations. Appl. Math. Comput. 150 3 (2004) 611-621
9. Y. Chen, H-L. An, Numerical solutions of coupled Burgers equations with time- and space-fractional derivatives, Appl. Math. Comput. (in press)
10. V. Gafiychuk, B. Datsko, V. Meleshko, Mathematical modeling of time fractional reaction-diffusion systems, J. Comput. Appl. Math. (in press)
11. Deng W.H., and Li C.P. Chaos synchronization of the fractional Lü system. Physica A 353 (2005) 61-72