Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions
Authors
J. A. Nanware
 Department of Mathematics, Shrikrishna Mahavidyalaya, Gunjoti  413 606, Dist. Osmanabad (M.S), India.
D. B. Dhaigude
 Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad  431 004, India.
Abstract
Recently, Wang and Xie [T. Wang, F. Xie, J. Nonlinear Sci. Appl., 1 (2009), 206212] developed monotone
iterative method for RiemannLiouville 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.
Share and Cite
ISRP Style
J. A. Nanware, D. B. Dhaigude, Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 4, 246254
AMA Style
Nanware J. A., Dhaigude D. B., Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions. J. Nonlinear Sci. Appl. (2014); 7(4):246254
Chicago/Turabian Style
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 Applications, 7, no. 4 (2014): 246254
Keywords
 Fractional differential equations
 existence and uniqueness
 lower and upper solutions
 integral boundary conditions.
MSC
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