Fractional differential equations involving causal operators

Communications in Applied Analysis

Volumn 14, Issue 1, 2010, Pages 81-88

  Drici, Z ^a   McRae, F A ^b   Vasundhara Devi, J ^c  

^a ILLINOIS WESLEYAN UNIVERSITY   (United States)

^b CATHOLIC UNIVERSITY OF AMERICA   (United States)

^c GV P Lakshmikantham Institute for Advanced Studies   (India)

Author keywords

Causal operators; Existence results; Fractional differential equations

Indexed keywords

EID: 77952985739     PISSN: 10832564     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Corduneanu, C., Functional Equations with Causal Operators, Stability and Control: Theory, Methods and Applications, 16, Taylor and Francis, London, 2002.
2. Kilbas, A. A., Srivatsava, H. M. and Trujillo, J. J., Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, 2006.
3. Lakshmikantham, V., Theory of fractional functional differential equations, Nonlinear Anal. 69 (2008), no. 12, 3337-3343.
4. Lakshmikantham, V., and Vasundhara Devi, J., Theory of fractional differential equations in a Banach space, Eur. J. Pure Appl Math. 1 (2008), no. 1, 38-45.
5. Lakshmikantham, V., and Vatsala, A. S., Theory of fractional differential inequalities and applications, Commun. Appl. Anal. 11 (2007), no. 3-4, 395-402.
6. Lakshmikantham, V., and Vatsala, A. S., Basic theory of fractional differential equations, Nonlinear Anal 69 (2008), no. 8, 2677-2682.
7. Lakshmikantham, V., and Vatsala, A. S., General uniqueness and monotone iterative technique for fractional differential equations, Appl Math. Lett. 21 (2008), no. 8, 828-834.
8. Podlubny, L, Fractional Differential Equations, San Diego, Academic Press, 1999.