About this article
Published Online: Sep 04, 2025
Page range: 157 - 173
Received: Sep 07, 2024
Accepted: Aug 23, 2025
DOI: https://doi.org/10.2478/awutm-2025-0011
Keywords
© 2025 Ahlem Adoui et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
This paper addresses the existence of solutions for a boundary value problem characterized by a fractional differential equation involving a multi-term formulation of the Riemann-Liouville-Caputo derivative. The multi-term approach allows for more accurate modelling of complex systems with diverse memory and hereditary properties. To explore the existence and uniqueness of solutions, fixed point theorems are employed. Additionally, two numerical examples are provided to illustrate the theoretical results.