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...

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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
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https://doi.org/10.1186/s13661-025-02054-2

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