Work

New results on coupled Caputo-Hadamard fractional neutral differential equations supplemented by unbounded delays

Year: 2025

Type: article

Abstract: This paper examines a new coupled system of nonlinear fractional differential equations involving sequential Caputo-Hadamard type fractional derivatives, Hadamard integrals, and unbounded delays. Qualitative theorems such as the existence and uniqueness of solutions are derived by applying Krasnoselskii's and Banach's fixed point techniques. Furthermore, we demonstrate the Hyers-Ulam (\(\text{H}\text{U}\)) and its generalized form of stability for the proposed system. The main results are illustrated through a practical example.

Source: Journal of Mathematics and Computer Science

DOI: 10.22436/jmcs.039.03.05

Authors: G. Mani, A. Lakshmi S. R, S. T. M. Thabet, I. Kedim, M. Vivas-Cortez

Institutions: Saveetha University, Prince Sattam Bin Abdulaziz University, Pontificia Universidad Católica del Ecuador

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Prince Sattam bin Abdulaziz University

Awards: G2296600085, G3675418067