Existence of Positive Solutions for a Class of ODEs, FDEs and PDEs via Fixed Point Index Theory for the Sum of Operators

摘要

The purpose of this work is to study the existence of positive solutions for different classes of differential equations, including a class of first-order ordinary differential equations (ODEs for short), a class of fractional differential equations (FDEs for short), a class of partial differential equations (PDEs for short) as well as first order systems ODEs. In order to achieve this goal we will use the fixed point index theory for the sum of two operators developed recently in the article by Djebali and Mebarki in [11].