Work

A novel approach to Caputo–Hadamard pantograph problems in $\mathfrak{L}^{\mathsf{p}}$-spaces

Year: 2025

Type: article

Abstract: In this paper, we investigate the existence and uniqueness of solutions for Caputo–Hadamard pantograph fractional differential equations with boundary conditions in $\mathfrak{L}^{\mathsf{p}}$ -spaces, by applying fixed-point theorems in $\mathfrak{L}^{\mathsf{p}}$ -spaces to prove existence and uniqueness. Stability is analyzed through the Ulam–Hyers stability and Ulam–Hyers–Rassias stability, offering key insights into the reliability of the system. Practical examples are also provided for illustration.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02054-2

Authors: Gunaseelan Mani, Purushothaman Ganesh, Kokila Kannan, Maryam Ali Alghafli, Nabil Mlaiki

Institutions: Saveetha University, St. Joseph’s College of Engineering, Prince Sultan University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funder: Prince Sultan University