@article{Ahmadkhanlu2024, 
author = {Asghar Ahmadkhanlu and Hojjat Afshari and Jehad Alzabut},
title = {A new fixed point approach for solutions of a  p-Laplacian fractional  q-difference boundary value problem with an integral boundary condition},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {23770-23785},
keywords = {fractional derivatives, quantom calculus, differential equations, boundary value problems, positive solution},
url = {https://www.sciopen.com/article/10.3934/math.20241155},
doi = {10.3934/math.20241155},
abstract = {We explored a class of quantum calculus boundary value problems that include fractional  q-difference integrals. Sufficient and necessary conditions for demonstrating the existence and uniqueness of positive solutions were stated using fixed point theorems in partially ordered spaces. Moreover, the existence of a positive solution for a boundary value problem with a Riemann-Liouville fractional derivative and an integral boundary condition was examined by utilizing a novel fixed point theorem that included a  a- η-Geraghty contraction. Several examples were provided to demonstrate the efficacy of the outcomes.}
}