Subordination and superordination for univalent solutions for fractional differential equations

Journal of Mathematical Analysis and Applications

Volumn 345, Issue 2, 2008, Pages 871-879

  Ibrahim, Rabha W ^a   Darus, Maslina ^a  

^a UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

Author keywords

Fractional calculus; Subordination; Univalent solution

Indexed keywords

EID: 44649165019     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2008.05.017     Document Type: Article

References (13)

1. Goodman A.W. Univalent Function (1983), Mariner Publishing Company, INC
2. Srivastava H.M., and Owa S. Univalent Functions, Fractional Calculus, and Their Applications (1989), Halsted Press, John Wiley and Sons, New York-Chichester-Brisbane-Toronto
3. Podlubny I. Fractional Differential Equations (1999), Academic Press, London
4. Miller K.S., and Ross B. An Introduction to The Fractional Calculus and Fractional Differential Equations (1993), John Wiley and Sons, Inc.
5. Oldham K.B., and Spanier J. The Fractional Calculus. Math. Sci. Eng. (1974), Academic Press, New York/London
6. Balachandar K., and Dauer J.P. Elements of Control Theory (1999), Narosa Publishing House
7. Curtain R.F., and Pritchard A.J. Functional Analysis in Modern Applied Mathematics (1977), Academic Press
8. Samko S.G., Kilbas A.A., and Marichev O.I. Fractional Integrals and Derivatives (Theory and Applications) (1993), Gordon and Breach, New York
9. Miller S.S., and Mocanu P.T. Subordinants of differential superordinations. Complex Variables 48 10 (2003) 815-826
10. Miller S.S., and Mocanu P.T. Differential Subordinations: Theory and Applications. Pure Appl. Math. vol. 225 (2000), Dekker, New York
11. Shanmugam T.N., Ravichangran V., and Sivasubramanian S. Differential sandwich theorems for some subclasses of analytic functions. Aust. Math, Anal. Appl. 3 1 (2006) 1-11
12. Bulboaca T. Classes of first-order differential superordinations. Demonstratio Math. 35 2 (2002) 287-292
13. Kiryakova V. Generalized Fractional Calculus and Applications. Pitman Res. Notes Math. Ser. vol. 301 (1994), Longman/Wiley, New York