Iterative Positive Solutions to Nonlinear $q$-Fractional Differential Equations with Integral Boundary Value Conditions
Year: 2023
Author: Yaqiong Cui, Shugui Kang, Huiqin Chen
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.446
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 446–455
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Integral boundary value condition $q$-fractional differential equation iterative technique positive solutions.