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Your search keyword '"Caiyi Zhao"' showing total 2 results
Start Over Author "Caiyi Zhao" Journal advances in difference equations
2 results on '"Caiyi Zhao"'

1. Existence and uniqueness of solutions for singular fractional differential equation boundary value problem with p-Laplacian

Author

Zhonghua Liu, Youzheng Ding, Chengwei Liu, and Caiyi Zhao

Subjects
Fractional differential equation, Monotone iterative technique, Nonlinear boundary condition, Upper and lower solutions, Mathematics, QA1-939
Abstract

Abstract In this paper, we prove the existence and uniqueness of solutions for a singular fractional differential equation boundary value problem with p-Laplacian operator. The main results of this paper are obtained by constructing the monotone iterative sequences of upper and lower solutions and applying the comparison result. Finally, we also provide an illustrative example in support of the existence theorem. Our results generalize some related results in the literature.

Published
2020
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2. Existence and uniqueness of solutions for singular fractional differential equation boundary value problem with p-Laplacian

Author

Caiyi Zhao, Chengwei Liu, Zhonghua Liu, and Youzheng Ding

Subjects
Algebra and Number Theory, Partial differential equation, Applied Mathematics, lcsh:Mathematics, Existence theorem, Nonlinear boundary condition, lcsh:QA1-939, Fractional differential equation, Monotone polygon, Operator (computer programming), Upper and lower solutions, Ordinary differential equation, p-Laplacian, Applied mathematics, Boundary value problem, Uniqueness, Monotone iterative technique, Analysis, Mathematics
Abstract

In this paper, we prove the existence and uniqueness of solutions for a singular fractional differential equation boundary value problem with p-Laplacian operator. The main results of this paper are obtained by constructing the monotone iterative sequences of upper and lower solutions and applying the comparison result. Finally, we also provide an illustrative example in support of the existence theorem. Our results generalize some related results in the literature.

Published
2020
Full Text
View/download PDF

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