On the existence of solutions for multi-term $ p $-Laplacian fractional differential equations with anti-periodic boundary conditions
Abstract
This paper investigates the anti-periodic boundary value problem for multi-term fractional differential equations that involve the $ p $-Laplacian operator. We establish existence results by separately applying the Leray-Schauder nonlinear alternative and the Krasnosel'skii's fixed point theorem. Finally, two illustrative examples are presented to demonstrate the effectiveness of the main results.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Neural Networks Stability and Synchronization
Publication details
- Journal / source
- Electronic Research Archive
- Publisher
- American Institute of Mathematical Sciences (AIMS)
- Volume
- 34
- Issue
- 5
- Pages
- 3593–3610
- Publication date
- 1 January 2026