Multiplicity results for the nonlinear p-Laplacian fractional boundary value problems

Volume 3, Issue 4
Autumn 2021
Pages 41-62

Document Type : Original Article

Authors

Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey

Abstract
This paper investigates the existence of single and multiple positive positive solutions of fractional differential equations with p-Laplacian by means of the Green's function properties, the Guo-Krasnosel'skii fixed point theorem, the monotone iterative technique accompanied by established sufficient conditions and the Leggett-Williams fixed point theorem. Additionally, the main results are illustrated by some examples to show their validity.

Keywords

  • Receive Date 21 August 2021
  • Revise Date 27 October 2021
  • Accept Date 04 November 2021