Triple-Positive Solutions for a Nonlinear Singular Fractional q-Difference Equation at Resonance

Autor: Changlong Yu, Shuangxing Li, Jing Li, Jufang Wang
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Fractal and Fractional, Vol 6, Iss 11, p 689 (2022)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract6110689
Popis: Fractional q-calculus plays an extremely important role in mathematics and physics. In this paper, we aim to investigate the existence of triple-positive solutions for nonlinear singular fractional q-difference equation boundary value problems at resonance by means of the fixed-point index theorem and the q-Laplace transform, where the nonlinearity f(t,u,v) permits singularities at t=0,1 and u=v=0. The obtained theorem is well illustrated with the aid of an example.
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