| Title | FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | DRICI, Z, MCRAE, FA, J. DEVI, VASUNDHARA |
| Secondary Title | Communications in Applied Analysis |
| Volume | 14 |
| Issue | 1 |
| Start Page | 81 |
| Pagination | 88 |
| Date Published | 01/2010 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 34A12, 34GXX |
| Abstract | In this paper we develop some existence results for fractional equations involving causal operators.
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| URL | http://www.acadsol.eu/en/articles/14/1/7.pdf |
| Short Title | FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[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, I., Fractional Differential Equations, San Diego, Academic Press, 1999. |