مشخصات پژوهش

The aim of this work is to investigate the existence and multiplicity of positive solutions of a kind of p-Laplacian fractional boundary value problem with the Atangana-Baleanu fractional derivative. By using some fixed point theorems such as, Krasnoselskii, Schaefer and Leggett-Williams fixed point theorems, necessary and sufficient conditions are presented to obtain existence and multiplicity results. Two examples are given to illustrate our results.