Analysis of RLC multi-term fractional boundary value problems

Ahlem Adoui; Assia Guezane-Lakoud; Rabah Khaldi

doi:10.2478/awutm-2025-0011

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Analysis of RLC multi-term fractional boundary value problems

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 61 (2025): Issue 1 (January 2025)

By: Ahlem Adoui, Assia Guezane-Lakoud and Rabah Khaldi

Open Access

|Sep 2025

Abstract

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.

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2025-0011 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 157 - 173

Submitted on: Sep 7, 2024

Accepted on: Aug 23, 2025

Published on: Sep 4, 2025

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Riemann-Liouville-Caputo derivative,

multi-term differential equation,

boundary value problem

Related subjects:

Mathematics,

General mathematics

© 2025 Ahlem Adoui, Assia Guezane-Lakoud, Rabah Khaldi, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 61 (2025): Issue 1 (January 2025)