Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions
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2018
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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), 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.
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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, 246--254
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):246--254
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): 246--254
Keywords
- Fractional differential equations
- existence and uniqueness
- lower and upper solutions
- integral boundary conditions.
MSC
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