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Existence of solutions for nonlinear fractional differential equations with non-homogenous boundary conditions

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Abstract

In this paper we consider the existence of solution to systems of nonlinear conformable fractional differential equations with non-homogenous Dirichlet, Neumann, Sturm–Liouville conditions or the periodic condition. We show that the system has at least one solution by using tube solution and Schauder fixed point theorem.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China [Grant Number 11771216], the Key Research and Development Program of Jiangsu Province (Social Development) [Grant Number BE2019725], the Six Talent Peaks Project in Jiangsu Province [Grant Number 2015-XCL-020] and the Qing Lan Project of Jiangsu Province.

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  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, 210044, Nanjing, China

    Yanning An & Wenjun Liu

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  1. Yanning An
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Correspondence to Wenjun Liu.

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An, Y., Liu, W. Existence of solutions for nonlinear fractional differential equations with non-homogenous boundary conditions. J. Appl. Math. Comput. 64, 195–214 (2020). https://doi.org/10.1007/s12190-020-01351-6

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