"A study of existence and multiplicity of positive solutions for nonlinear fractional differential equations with nonlocal boundary conditions"

Abstract

"This paper deals with the existence, uniqueness and the multiplicity of solutions for a class of fractional di erential equations boundary value prob- lems involving three-point nonlocal Riemann-Liouville fractional derivative and integral boundary conditions. Our results are based on some well-known tools of xed point theory such as Banach contraction principle, xed point index theory and the Leggett-Williams xed point theorem. As applications, some examples are presented at the end to illustrate the main results."