Analysis of RLC multi-term fractional boundary value problems

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 m...

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Bibliographic Details
Published in:Annals of the West University of Timisoara: Mathematics and Computer Science
Main Authors: Adoui Ahlem, Guezane-Lakoud Assia, Khaldi Rabah
Format: Article
Language:English
Published: Sciendo 2025-01-01
Subjects:
riemann-liouville-caputo derivative
multi-term differential equation
boundary value problem
34b15
26a33
Online Access:https://doi.org/10.2478/awutm-2025-0011
Description
Summary: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.
ISSN:1841-3307

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