Fractional p-Laplacian differential equations with multi-point boundary conditions in Banach spaces

This paper is devoted to the existence and the Hyers–Ulam stability of solutions for certain types of nonlinear differential equations involving the Liouville–Caputo fractional derivative with multi-point boundary conditions and the p -Laplacian operator in Banach spaces. The existence of solutions...

Full description

Saved in:
Bibliographic Details
Published in:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2023-04, Vol.117 (2), Article 68
Main Authors: Srivastava, H. M., Abbas, Mohamed I., Boutiara, Abdellatif, Hazarika, Bipan
Format: Article
Language:English
Subjects:
Applications of Mathematics
Banach spaces
Boundary conditions
Fixed points (mathematics)
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Nonlinear differential equations
Operators (mathematics)
Original Paper
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper is devoted to the existence and the Hyers–Ulam stability of solutions for certain types of nonlinear differential equations involving the Liouville–Caputo fractional derivative with multi-point boundary conditions and the p -Laplacian operator in Banach spaces. The existence of solutions is derived with the help of the well-known Darbo’s fixed point theorem. Finally, an illustrative example is presented to show the validity of the obtained results.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-023-01400-2