Volume 33, Issue 2
Solution for Two-Point Boundary Value Problem of the Semilinear Fractional Differential Equation

Caixia Guo, Yugang Ren, Jianmin Guo, Shugui Kang, Yaqiong Cui & Huiqin Chen

Ann. Appl. Math., 33 (2017), pp. 155-161.

Published online: 2022-06

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  • Abstract

In this paper, we establish the existence result of solution and positive solution for two-point boundary value problem of a semilinear fractional differential equation by using the Leray-Schauder fixed-point theorem. The discussion is based on the system of integral equations on a bounded region.

  • AMS Subject Headings

34A08

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@Article{AAM-33-155, author = {Guo , CaixiaRen , YugangGuo , JianminKang , ShuguiCui , Yaqiong and Chen , Huiqin}, title = {Solution for Two-Point Boundary Value Problem of the Semilinear Fractional Differential Equation}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {2}, pages = {155--161}, abstract = {

In this paper, we establish the existence result of solution and positive solution for two-point boundary value problem of a semilinear fractional differential equation by using the Leray-Schauder fixed-point theorem. The discussion is based on the system of integral equations on a bounded region.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20602.html} }
TY - JOUR T1 - Solution for Two-Point Boundary Value Problem of the Semilinear Fractional Differential Equation AU - Guo , Caixia AU - Ren , Yugang AU - Guo , Jianmin AU - Kang , Shugui AU - Cui , Yaqiong AU - Chen , Huiqin JO - Annals of Applied Mathematics VL - 2 SP - 155 EP - 161 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20602.html KW - boundary value problem, Green’s function, Leray-Schauder fixed point theorem, system of integral equations. AB -

In this paper, we establish the existence result of solution and positive solution for two-point boundary value problem of a semilinear fractional differential equation by using the Leray-Schauder fixed-point theorem. The discussion is based on the system of integral equations on a bounded region.

Guo , CaixiaRen , YugangGuo , JianminKang , ShuguiCui , Yaqiong and Chen , Huiqin. (2022). Solution for Two-Point Boundary Value Problem of the Semilinear Fractional Differential Equation. Annals of Applied Mathematics. 33 (2). 155-161. doi:
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