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Volume 5, Issue 3
Iterative Positive Solutions to Nonlinear $q$-Fractional Differential Equations with Integral Boundary Value Conditions

Yaqiong Cui, Shugui Kang & Huiqin Chen

DOI: 10.12150/jnma.2023.446

J. Nonl. Mod. Anal., 5 (2023), pp. 446-455.

Published online: 2023-08

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

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  • Abstract

This paper is concerned with the existence of positive solutions to nonlinear $q$-fractional differential equations yielding to the integral boundary value conditions. Under sufficient conditions of the nonlinearity, by using some iterative techniques, we get that this problem has two positive solutions and a unique positive solution respectively. Our results improve some recent work.

  • Keywords

Integral boundary value condition, $q$-fractional differential equation, iterative technique, positive solutions.

  • AMS Subject Headings

39A13, 31A10, 74H20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-5-446, author = {Cui , YaqiongKang , Shugui and Chen , Huiqin}, title = {Iterative Positive Solutions to Nonlinear $q$-Fractional Differential Equations with Integral Boundary Value Conditions}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {3}, pages = {446--455}, abstract = {

This paper is concerned with the existence of positive solutions to nonlinear $q$-fractional differential equations yielding to the integral boundary value conditions. Under sufficient conditions of the nonlinearity, by using some iterative techniques, we get that this problem has two positive solutions and a unique positive solution respectively. Our results improve some recent work.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.446}, url = {http://global-sci.org/intro/article_detail/jnma/21945.html} }
TY - JOUR T1 - Iterative Positive Solutions to Nonlinear $q$-Fractional Differential Equations with Integral Boundary Value Conditions AU - Cui , Yaqiong AU - Kang , Shugui AU - Chen , Huiqin JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 446 EP - 455 PY - 2023 DA - 2023/08 SN - 5 DO - http://doi.org/10.12150/jnma.2023.446 UR - https://global-sci.org/intro/article_detail/jnma/21945.html KW - Integral boundary value condition, $q$-fractional differential equation, iterative technique, positive solutions. AB -

This paper is concerned with the existence of positive solutions to nonlinear $q$-fractional differential equations yielding to the integral boundary value conditions. Under sufficient conditions of the nonlinearity, by using some iterative techniques, we get that this problem has two positive solutions and a unique positive solution respectively. Our results improve some recent work.

Yaqiong Cui, Shugui Kang & Huiqin Chen. (2023). Iterative Positive Solutions to Nonlinear $q$-Fractional Differential Equations with Integral Boundary Value Conditions. Journal of Nonlinear Modeling and Analysis. 5 (3). 446-455. doi:10.12150/jnma.2023.446
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