Work

On the solutions to a Riemann-Liouville fractional q-derivative boundary value problem

Year: 2025

Type: article

Abstract: Within the framework of q-fractional calculus, we study a nonlinear fractional differential equation conditioned by values that contain a parameter and a q-integral. Using a combination of various techniques, among which some convenient upper and lower solutions stand out, as well as different convexity and contraction methods, several conditions are found to guarantee the existence of one, two or three positive solutions to the problem under consideration.

Source: Fractional Calculus and Applied Analysis

DOI: 10.1007/s13540-025-00441-1

Author: Luís P. Castro

Institution: University of Aveiro

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,590

Funders: Universidade de Aveiro, Center for Research and Development in Mathematics and Applications, Fundação para a Ciência e a Tecnologia