Araci, SerkanŞen, ErdoğanAçıkgöz, MehmetSrivastava, Hari M.2022-05-112022-05-1120151687-1847https://doi.org/10.1186/s13662-015-0375-0https://hdl.handle.net/20.500.11776/7388In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: D-q(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 (0 < t < 1; 0 < gamma < 1; 3 < delta < 4), y(0) = (D(q)y)(0) = (D(q)(2)y)(0) = 0, a(1)(D(q)y)(1) + a(2)(D(q)(2)y)(1) = 0, a(1) + vertical bar a(2)vertical bar not equal 0, D(0+)(gamma)y(t)vertical bar(t=0) = 0. We make use of such a fractional q- difference boundary value problem in order to show the existence and uniqueness of positive and nondecreasing solutions by means of a familiar fixed point theorem.en10.1186/s13662-015-0375-0info:eu-repo/semantics/openAccesspositive solutionsfixed point theoremfractional q-difference equationp-Laplacian operatorQ-IntegralsTheoremsArticleQ4WOS:0003496173000032-s2.0-84922820852Q2