@article{Manigandan2024, 
author = {Murugesan Manigandan and R. Meganathan and R. Sathiya Shanthi and Mohamed Rhaima},
title = {Existence and analysis of Hilfer-Hadamard fractional differential equations in RLC circuit models},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {28741-28764},
keywords = {fractional differential equations, Hilfer-Hadamard fractional derivative, non-local boundary conditions, existence, fixed-point theorem},
url = {https://www.sciopen.com/article/10.3934/math.20241394},
doi = {10.3934/math.20241394},
abstract = {This paper explores a fractional integro-differential equation with boundary conditions that incorporate the Hilfer-Hadamard fractional derivative. We model the RLC circuit using fractional calculus and define weighted spaces of continuous functions. The existence and uniqueness of solutions are established, along with their Ulam-Hyers and Ulam-Hyers-Rassias stability. Our analysis employs Schaefer's fixed-point theorem and Banach's contraction principle. An illustrative example is presented to validate our findings.}
}