Iterative Positive Solutions to Nonlinear $q$-Fractional Differential Equations with Integral Boundary Value Conditions

Authors

  • Yaqiong Cui
  • Shugui Kang
  • Huiqin Chen

DOI:

https://doi.org/10.12150/jnma.2023.446

Keywords:

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

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.

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Published

2024-04-10

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Issue

Vol. 5 No. 3 (2023)

Section

Articles

How to Cite

Iterative Positive Solutions to Nonlinear $q$-Fractional Differential Equations with Integral Boundary Value Conditions. (2024). Journal of Nonlinear Modeling and Analysis, 5(3), 446-455. https://doi.org/10.12150/jnma.2023.446