Abstract

In this paper, we study the existence of positive solutions for a class of higher order fractional differential equations with advanced arguments and boundary value problems involving Stieltjes integral conditions. The fixed point theorem due to Avery-Peterson is used to obtain sufficient conditions for the existence of multiple positive solutions. Certain of our results improve on recent work in the literature.

Highlights

  • Fractional differential equations (FDEs) can describe many phenomena in various fields of science and engineering

  • FDEs have been discussed in many papers, for example, see [3], [5], [9]–[18]

  • We are interested in the existence of multiple positive solutions to boundary value problem:

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Summary

Tadeusz Jankowski

We study the existence of positive solutions for a class of higher order fractional differential equations with advanced arguments and boundary value problems involving Stieltjes integral conditions. Certain of our results improve on recent work in the literature

INTRODUCTION
Define the operator T by
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