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

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

Abstract In this paper, we investigate the existence and uniqueness of solutions for Caputo–Hadamard pantograph fractional differential equations with boundary conditions in L p $\mathfrak{L}^{\mathsf{p}}$ -spaces, by applying fixed-point theorems in L p $\mathfrak{L}^{\mathsf{p}}$ -spaces to prove...

Full description

Saved in:
Bibliographic Details
Main Authors: Gunaseelan Mani, Purushothaman Ganesh, Kokila Kannan, Maryam Ali Alghafli, Nabil Mlaiki
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Boundary Value Problems
Subjects:
Caputo–Hadamard
Fractional derivatives
Fractional integral
Fixed point
Banach contraction
Online Access:https://doi.org/10.1186/s13661-025-02054-2
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract In this paper, we investigate the existence and uniqueness of solutions for Caputo–Hadamard pantograph fractional differential equations with boundary conditions in L p $\mathfrak{L}^{\mathsf{p}}$ -spaces, by applying fixed-point theorems in L p $\mathfrak{L}^{\mathsf{p}}$ -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.
ISSN:1687-2770

Similar Items