Existence of solutions for fractional impulsive differential equations with \(p\)-Laplacian operator (Q485532)

Laplacian operator and fractional calculus arise in many fields of science and engineering. The authors investigate boundary value problems for non-linear fractional impulsive differential equations with \(p\)-Laplacian operator. Using some fixed point theorems they obtain new results on the existence and uniqueness of solutions. The authors apply Schauder's fixed point theorem and Banach contraction mapping principle to prove existence and uniqueness of solutions. Two examples are given to illustrate the usefulness of the main result.