Abstract
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.
Funder
National Natural Science Foundation of China
Beijing Natural Science Foundation
Natural Science Foundation of Hebei Province
Foundation of Hebei Education Department
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
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