Solvability of fractional p-Laplacian boundary value problems with controlled parameters
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Authors
Tengfei Shen
- School of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China.
Wenbin Liu
- School of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China.
Abstract
This paper aims to investigate existence of solutions of several boundary value problems for fractional one-dimensional
p-Laplacian equation under controlled parameters. By employing fixed point theory and critical point theory, some new results
are obtained, which enrich and generalize the previous results.
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ISRP Style
Tengfei Shen, Wenbin Liu, Solvability of fractional p-Laplacian boundary value problems with controlled parameters, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2366--2383
AMA Style
Shen Tengfei, Liu Wenbin, Solvability of fractional p-Laplacian boundary value problems with controlled parameters. J. Nonlinear Sci. Appl. (2017); 10(5):2366--2383
Chicago/Turabian Style
Shen, Tengfei, Liu, Wenbin. "Solvability of fractional p-Laplacian boundary value problems with controlled parameters." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2366--2383
Keywords
- Fractional ordinary differential equation
- boundary value problem
- p-Laplacian operator
- existence.
MSC
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