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Volume 34, Issue 1
Nonexistence of Positive Solutions for a Four-Point Boundary Value Problem for Fractional Differential Equation

Chunfang Shen

Ann. Appl. Math., 34 (2018), pp. 71-79.

Published online: 2022-06

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  • Abstract

In this paper, we investigate the nonexistence of positive solutions for a class of four-point boundary value problem of nonlinear differential equation with fractional order derivative. We give sufficient conditions on nonlinear term and the parameter such that the boundary value problem has no positive solutions. Some examples are presented to illustrate the main results.

  • Keywords

positive solution, fractional differential equation, fixed point, cone.

  • AMS Subject Headings

26A33, 34B15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-34-71, author = {Shen , Chunfang}, title = {Nonexistence of Positive Solutions for a Four-Point Boundary Value Problem for Fractional Differential Equation}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {34}, number = {1}, pages = {71--79}, abstract = {

In this paper, we investigate the nonexistence of positive solutions for a class of four-point boundary value problem of nonlinear differential equation with fractional order derivative. We give sufficient conditions on nonlinear term and the parameter such that the boundary value problem has no positive solutions. Some examples are presented to illustrate the main results.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20563.html} }
TY - JOUR T1 - Nonexistence of Positive Solutions for a Four-Point Boundary Value Problem for Fractional Differential Equation AU - Shen , Chunfang JO - Annals of Applied Mathematics VL - 1 SP - 71 EP - 79 PY - 2022 DA - 2022/06 SN - 34 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20563.html KW - positive solution, fractional differential equation, fixed point, cone. AB -

In this paper, we investigate the nonexistence of positive solutions for a class of four-point boundary value problem of nonlinear differential equation with fractional order derivative. We give sufficient conditions on nonlinear term and the parameter such that the boundary value problem has no positive solutions. Some examples are presented to illustrate the main results.

Chunfang Shen. (2022). Nonexistence of Positive Solutions for a Four-Point Boundary Value Problem for Fractional Differential Equation. Annals of Applied Mathematics. 34 (1). 71-79. doi:
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