TY - JOUR
AU - Chengbo Zhai
AU - Jing Ren
PY - 2021/05/01
Y2 - 2021/07/27
TI - A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator
JF - Nonlinear Analysis: Modelling and Control
JA - NAMC
VL - 26
IS - 3
SE - Articles
DO - 10.15388/namc.2021.26.23055
UR - https://www.journals.vu.lt/nonlinear-analysis/article/view/23055
AB - This article is devoted to studying a nonhomogeneous boundary value problem involving Stieltjes integral for a more general form of the fractional q-difference equation with p(t)-Laplacian operator. Here p(t)-Laplacian operator is nonstandard growth, which has been used more widely than the constant growth operator. By using fixed point theorems of φ – (h, e)-concave operators some conditions, which guarantee the existence of a unique positive solution, are derived. Moreover, we can construct an iterative scheme to approximate the unique solution. At last, two examples are given to illustrate the validity of our theoretical results.
ER -