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Existence of Solutions for a Coupled Fractional Differential Equations with Infinitely Many Points Boundary Conditions at Resonance on an Unbounded Domain

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Abstract

This paper investigates the existence of solutions for infinitely many points boundary value problems at resonance with \(\mathrm{dimker}\,L=2\) regarding fractional differential equations on an unbounded domain. By the well-known coincidence degree theory of Mawhin, it is shown that the considered system under certainly conditions admits at least one solution. An example to illustrate the applicability of the given conditions is also given.

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Acknowledgments

This work is supported by Chinese Universities Scientific Fund (No. CUSF-DH-D-2014061) and the Natural Science Foundation of Shanghai (No. 15ZR1400800).

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Authors and Affiliations

  1. College of Information Science and Technology, Donghua University, Shanghai, 201620, China

    Fu-Dong Ge

  2. Academy of Mathematics and Systems Science, Academia Sinica, Beijing, 100190, China

    Hua-Cheng Zhou

  3. Department of Applied Mathematics, Donghua University, Shanghai, 201620, China

    Chun-Hai Kou

Authors
  1. Fu-Dong Ge
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  2. Hua-Cheng Zhou
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  3. Chun-Hai Kou
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Correspondence to Hua-Cheng Zhou.

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Ge, FD., Zhou, HC. & Kou, CH. Existence of Solutions for a Coupled Fractional Differential Equations with Infinitely Many Points Boundary Conditions at Resonance on an Unbounded Domain. Differ Equ Dyn Syst 27, 395–411 (2019). https://doi.org/10.1007/s12591-015-0270-x

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