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Volume 3, Issue 4
Existence and Multiplicity of Positive Solutions for a Singular Nonlinear High Order Fractional Differential Problem with Multi-Point Boundary Conditions

Di Wang & Jiqiang Jiang

DOI: 10.12150/jnma.2021.603

J. Nonl. Mod. Anal., 3 (2021), pp. 603-616.

Published online: 2022-06

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, a singular nonlinear high order fractional differential problem involving multi-point boundary conditions is solved by means of the fixed point index theory. Some properties of the first eigenvalue corresponding to relevant operator and some new height functions are also used to prove the existence and multiplicity of positive solutions. The nonlinearity depends on arbitrary fractional derivative.

  • Keywords

Positive solutions, Fractional differential problem, Fixed point index, First eigenvalue, Multi-point boundary conditions.

  • AMS Subject Headings

26A33, 34A08, 34B18

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-3-603, author = {Wang , Di and Jiang , Jiqiang}, title = {Existence and Multiplicity of Positive Solutions for a Singular Nonlinear High Order Fractional Differential Problem with Multi-Point Boundary Conditions}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {3}, number = {4}, pages = {603--616}, abstract = {

In this paper, a singular nonlinear high order fractional differential problem involving multi-point boundary conditions is solved by means of the fixed point index theory. Some properties of the first eigenvalue corresponding to relevant operator and some new height functions are also used to prove the existence and multiplicity of positive solutions. The nonlinearity depends on arbitrary fractional derivative.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2021.603}, url = {http://global-sci.org/intro/article_detail/jnma/20686.html} }
TY - JOUR T1 - Existence and Multiplicity of Positive Solutions for a Singular Nonlinear High Order Fractional Differential Problem with Multi-Point Boundary Conditions AU - Wang , Di AU - Jiang , Jiqiang JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 603 EP - 616 PY - 2022 DA - 2022/06 SN - 3 DO - http://doi.org/10.12150/jnma.2021.603 UR - https://global-sci.org/intro/article_detail/jnma/20686.html KW - Positive solutions, Fractional differential problem, Fixed point index, First eigenvalue, Multi-point boundary conditions. AB -

In this paper, a singular nonlinear high order fractional differential problem involving multi-point boundary conditions is solved by means of the fixed point index theory. Some properties of the first eigenvalue corresponding to relevant operator and some new height functions are also used to prove the existence and multiplicity of positive solutions. The nonlinearity depends on arbitrary fractional derivative.

Wang , Di and Jiang , Jiqiang. (2022). Existence and Multiplicity of Positive Solutions for a Singular Nonlinear High Order Fractional Differential Problem with Multi-Point Boundary Conditions. Journal of Nonlinear Modeling and Analysis. 3 (4). 603-616. doi:10.12150/jnma.2021.603
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