Monotone iterative technique and existence results for fractional differential equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 71, Issue 12, 2009, Pages 6093-6096

  McRae, F A ^a  

^a CATHOLIC UNIVERSITY OF AMERICA   (United States)

Author keywords

Existence; Fractional differential equations; Maximal and minimal solutions; Monotone iterative technique

Indexed keywords

EXISTENCE RESULTS; FRACTIONAL DIFFERENTIAL EQUATIONS; METHOD OF UPPER AND LOWER SOLUTIONS; MINIMAL SOLUTIONS; MONOTONE ITERATIVE TECHNIQUES;

DIFFERENTIAL EQUATIONS;

ITERATIVE METHODS;

EID: 72149110341     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.05.074     Document Type: Article

References (8)

1. Kilbas A.A., Srivatsava H.M., and Trujillo J.J. Theory and Applications of Fractional Differential Equations (2006), Elsevier, Amsterdam
2. V. Lakshmikantham, Theory of fractional functional differential equations, Nonlinear Analysis, in press (doi:10.1016/j.na.2007.09.025)
3. Lakshmikantham V., and Vasundhara Devi J. Theory of fractional differential equations in a Banach space. European Jour. Pure and Appl. Math. 1 (2008) 38-45
4. V. Lakshmikantham, A.S. Vatsala, Theory of fractional differential inequalities and Applications, Communications in Applied Analysis (in press)
5. Lakshmikantham V., and Vatsala A.S. Basic theory of fractional differential equations. Nonlinear Analysis 69 8 (2008) 2677-2682
6. V. Lakshmikantham, A.S. Vatsala, General uniqueness and monotone iterative technique for fractional differential equations, Math Letters (in press)
7. Podlubny I. Fractional Differential Equations (1999), Academic Press, San Diego
8. Ladde G.S., Lakshmikantham V., and Vatsala A.S. Monotone Iterative Techniques for Nonlinear Differential Equations (1985), Pitman Advanced Publishing Program, London