Title: Existence, uniqueness and Hyers-Ulam stability for a implicit hybrid fractional differential equation with p-Laplacian operator

Authors: Darshana Devi; Jayanta Borah; Haydar Akca

Addresses: Department of Mathematical Sciences, Tezpur University, Sonitpur, Assam, 784028, India ' Department of Mathematical Sciences, Tezpur University, Sonitpur, Assam, 784028, India ' Department of Applied Sciences and Mathematics, College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, UAE

Abstract: In this article we investigate a class of nonlinear p-Laplacian implicit hybrid fractional differential equations involving a combination of Caputo and Riemann-Liouville fractional derivatives. The primary aim is to establish the existence, uniqueness, and Hyers-Ulam stability of solutions to the proposed problem. To achieve this, we employ fixed point theory as the central analytical tool. The theoretical findings are further supported by an example, which demonstrates the effectiveness of the obtained results.

Keywords: hybrid FDE; p-Laplacian operator; fixed-point theorem; solution existence; uniqueness; Hyers-Ulam stable.

DOI: 10.1504/IJDSDE.2026.154419

International Journal of Dynamical Systems and Differential Equations, 2026 Vol.15 No.1, pp.82 - 105

Received: 29 Nov 2024
Accepted: 02 Jun 2025
Published online: 26 Jun 2026 *

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