Existence of positive solutions for the nonlinear fractional boundary value problems with p-Laplacian

Tawanda Gallan Chakuvinga, Fatma Serap Topal

The monotone iterative technique, theory of fixed point index in a cone and the Leggett-Williams fixed point theorem are applied to investigate the existence and multiplicity of positive solutions for four boundary value problems of nonlinear fractional differential equations with a p-Laplacian point operator and infinite delay. Moreover, examples are presented to illustrate a vast applicability of our main results