| Title | MONOTONE METHOD FOR PERIODIC BOUNDARY VALUE PROBLEMS OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | MCRAE, FA |
| Secondary Title | Communications in Applied Analysis |
| Volume | 14 |
| Issue | 1 |
| Start Page | 73 |
| Pagination | 80 |
| Date Published | 01/2010 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 34A12., 34A45, 34C60 |
| Abstract | In this paper, the monotone iterative technique is developed to study existence of solutions of PBVP for Fractional Differential Equation.
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| URL | http://www.acadsol.eu/en/articles/14/1/6.pdf |
| Short Title | MONOTONE METHOD FOR PERIODIC BOUNDARY VALUE PROBLEMS |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[1] Kilbas, A. A., Srivatsava, H. M. and Trujillo, J. J., Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, 2006.
[2] Lakshmikantham, V. and Leela, S., Differential and Integral Inequalities, Vol I and II, Academic Press, New York, 1969. [3] Lakshmikantham, V., and Vasundhara Devi, J., Theory of fractional differential equations in a Banach space, European Jour. Pure and Appl. Math., Vol 1, No. 1, (2008), 38–45. [4] Lakshmikantham, V., and Vatsala, A. S., Theory of fractional differential inequalities and applications, Commun. Appl. Anal. 11 (2007), no. 3-4, 395–402. [5] Lakshmikantham, V., and Vatsala, A. S., Basic theory of fractional differential equations, Nonlinear Anal. 69 (2008), no. 8, 2677–2682. [6] 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. [7] Ladde, G. S., Lakshmikantham, V. and Vatsala, A. S., Monotone Iterative Techniques for Nonlinear Differential Equations, Pitman Advanced Publishing Program, London, 1985. [8] McRae, F. A., Monotone iterative technique and existence results for fractional differential Equations, Nonlinear Anal. 71 (2009), no. 12, 6093–6096. [9] Podlubny, I., Fractional Differential Equations, Academic Press, San Diego, 1999. |