Positive solutions for m-point p-Laplacian fractional boundary value problem involving Riemann Liouville fractional integral boundary conditions on the half line

TL;DR

This paper establishes the existence of positive solutions for a fractional boundary value problem involving p-Laplacian and Riemann-Liouville fractional integrals on the half line, using fixed point theory and Green functions.

Contribution

It introduces new existence results for m-point p-Laplacian fractional problems with Riemann-Liouville boundary conditions on the half line, employing Leray-Schauder theory.

Findings

Existence of positive solutions proven under certain conditions

Application of Green function properties to fractional boundary problems

An example demonstrating the main theoretical results

Abstract

This paper investigates the existence of positive solutions for m-point p-Laplacian fractional boundary value problem involving Riemann Liouville fractional integral boundary conditions on the half line via the Leray-Schauder Nonlinear Alternative theorem and the use and some properties of the Green function. As an application, an example is presented to demonstrate our main result.