Existence of positive solutions of nonlinear fractional differential equations

Journal of Mathematical Analysis and Applications

Volumn 278, Issue 2, 2003, Pages 434-442

  Babakhani, A ^a   Daftardar Gejji, Varsha ^a  

^a UNIVERSITY OF PUNE   (India)

Author keywords

Completely continuous operator; Equicontinuous set; Normal cone; Riemann Liouville fractional derivatives and integrals; Semi ordered banach space

Indexed keywords

EID: 0038405057     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00716-3     Document Type: Review

References (10)

1. S. Zhang, The existence of a positive solution for a nonlinear fractional differential equation, J. Math. Anal. Appl. 252 (2000) 804-812.
2. M. Naito, K. Yano, Positive solutions of higher order ordinary differential equations with general nonlinearities, J. Math. Anal. Appl. 250 (2000) 27-48.
3. J. Wang, On positive solutions of singular nonlinear two-point boundary value problems, J. Differential Equations 107 (1994) 163-174.
4. Y.S. Choi, E.H. Kim, On the existence of positive solutions of quasilinear elliptic boundary value problems, J. Differential Equations 155 (1999) 423-442.
5. M.C. Joshi, R.K. Bose, Some Topics in Nonlinear Functional Analysis, Wiley Eastern, New Delhi, 1985.
6. S. Samko, A. Kilbas, O. Marichev, Fractional Integrals and Derivatives, Gordon and Breach, Yverdon, 1993.
7. I. Podlubny, Fractional Differential Equations, Academic Press, London, 1999.
8. K.S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley-Interscience, New York, 1993.
9. C.D. Aliprantis, O. Burkinshaw, Principles of Real Analysis, 2nd ed., Academic Press, New York, 1990.
10. R.R. Goldberg, Methods of Real Analysis, Oxford and IBH Publishing Company, New Delhi, 1970.