Geodesic
Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions
Nanware, J. A.1 ; Dhaigude, D. B.2
1 Department of Mathematics, Shrikrishna Mahavidyalaya, Gunjoti - 413 606, Dist. Osmanabad (M.S), India
2 Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431 004, India
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 4, p. 246-254.

Voir la notice de l'article provenant de la source International Scientific Research Publications

Recently, Wang and Xie [T. Wang, F. Xie, J. Nonlinear Sci. Appl., 1 (2009), 206-212] developed monotone iterative method for Riemann-Liouville fractional differential equations with integral boundary conditions with the strong hypothesis of locally Hölder continuity and obtained existence and uniqueness of a solution for the problem. In this paper, we apply the comparison result without locally Hölder continuity due to Vasundhara Devi to develop monotone iterative method for the problem and obtain existence and uniqueness of a solution of the problem.
DOI : 10.22436/jnsa.007.04.02
Classification : 34A12, 34C60, 34A45
Keywords: Fractional differential equations, existence and uniqueness, lower and upper solutions, integral boundary conditions.

Nanware, J. A. 1 ; Dhaigude, D. B. 2

1 Department of Mathematics, Shrikrishna Mahavidyalaya, Gunjoti - 413 606, Dist. Osmanabad (M.S), India
2 Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431 004, India 
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Nanware, J. A.; Dhaigude, D. B. Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 4, p. 246-254. doi : 10.22436/jnsa.007.04.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.04.02/

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