Positive solutions for nonlinear fractional differential equations with coefficient that changes sign

Nonlinear Analysis, Theory, Methods and Applications

Volumn 64, Issue 4, 2006, Pages 677-685

  Bai, Chuanzhi ^a,b  

^a HUAIYIN NORMAL UNIVERSITY   (China)

^b NANJING UNIVERSITY   (China)

Author keywords

Cone; Nonlinear alternative of Leray Schauder type; Positive solutions; Riemann Liouville fractional derivatives and integrals

Indexed keywords

NONLINEAR SYSTEMS; PARAMETER ESTIMATION;

CONE; NONLINEAR ALTERNATIVE OF LERAY-SCHAUDER TYPE; POSITIVE SOLUTIONS; RIEMANN-LIOUVELLE FRACTIONAL DERIVATIVES AND INTEGRALS;

DIFFERENTIAL EQUATIONS;

EID: 29244448297     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.04.047     Document Type: Article

References (19)

1. R.P. Agarwal, M. Meehan, and D. O'Regan Fixed Point Theory and Applications 2001 Cambridge University Press Cambridge
2. B. Al-Saqabi, and V.S. Kiryakova Explicit solutions of fractional integral and differential equations involving Erdlyi-Kober operators Appl. Math. Comput. 95 1998 1 13
3. A. Babakhani, and V. Daftardar-Gejji Existence of positive solutions of nonlinear fractional differential equations J. Math. Anal. Appl. 278 2003 434 442
4. C. Bai, and J. Fang The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations Appl. Math. Comput. 150 2004 611 621
5. L.M.C.M. Campos On the solution of some simple fractional differential equations Int. J. Math. Sci. 13 1990 481 496
6. D. Delbosco, and L. Rodino Existence and uniqueness for a nonlinear fractional differential equation J. Math. Anal. Appl. 204 1996 609 625
7. A.M.A. El-Sayed On the fractional differential equations Appl. Math. Comput. 49 1992 205 213
8. A. Granas, R.B. Guenther, and J.W. Lee Some general existence principle in the Caratheodory theory of nonlinear systems J. Math. Pures Appl. 70 1991 153 196
9. D.D. Hai Positive solutions to a class of elliptic boundary value problems J. Math. Anal. Appl. 227 1998 195 199
10. A.A. Kilbas, and J.J. Trujillo Computation of fractional integrals via functions of hypergeometric and Bessel type J. Comput. Appl. Math. 118 2000 223 239
11. A.A. Kilbas, and J.J. Trujillo Differential equations of fractional order: methods, results, and problems I. Appl. Anal. 70 2001 153 192
12. V. Kiryakova Generalized Fractional Calculus and Applications in: Pitman Research Notes Mathematical Series vol. 301 1994 Longman Harlow
13. V.S. Kiryakova, and B. Al-Saqabi Explicit solutions to hyper-Bessel integral equations of second kind Comput. Math. Appl. 37 1999 75 86
14. Y. Ling, and S. Ding A class of analytic functions defined by fractional derivative J. Math. Anal. Appl. 186 1994 504 513
15. K.S. Miller, and B. Ross An Introduction to the Fractional Calculus and Fractional Differential Equation 1993 Wiley New York
16. I. Podlubny Fractional Differential Equations 1999 Academic Press London
17. S.G. Samko, A.A. Kilbas, and O.I. Marichev Fractional Integrals and Derivatives. Theory and Applications 1993 Gordon and Breach London
18. S. Zhang The existence of a positive solution for a nonlinear fractional differential equation J. Math. Anal. Appl. 252 2000 804 812
19. S. Zhang Existence of positive solution for some class of nonlinear fractional differential equations J. Math. Anal. Appl. 278 2003 136 148