A new control for improving the power quality generated by a three-level T-type inverter

B Deffaf, N Debdouche, H Benbouhenni, F Hamoudi… - Electronics, 2023 - mdpi.com
A new controller based on a fractional-order synergetic controller (FOSC) is proposed for a
three-level T-type inverter using a shunt active power filter (SAPF). The SAPF is designed to …

Qualitative analysis of Langevin integro-fractional differential equation under Mittag–Leffler functions power law

MA Almalahi, F Ghanim, T Botmart, O Bazighifan… - Fractal and …, 2021 - mdpi.com
This research paper intends to investigate some qualitative analysis for a nonlinear
Langevin integro-fractional differential equation. We investigate the sufficient conditions for …

A new hybrid optimal auxiliary function method for approximate solutions of non-linear fractional partial differential equations

R Ashraf, R Nawaz, O Alabdali, N Fewster-Young… - Fractal and …, 2023 - mdpi.com
This study uses the optimal auxiliary function method to approximate solutions for fractional-
order non-linear partial differential equations, utilizing Riemann–Liouville's fractional …

Fuzzy differential subordination of the Atangana–Baleanu fractional integral

A Alb Lupaş, A Cătaş - Symmetry, 2021 - mdpi.com
The present paper continues the study on the relatively new concept of fuzzy differential
subordination conducted in some recently published cited papers. In this article, certain …

Fuzzy differential Sandwich theorems involving the fractional integral of confluent hypergeometric function

AA Lupaş - Symmetry, 2021 - mdpi.com
The operator defined as the fractional integral of confluent hypergeometric function was
introduced and studied in previously written papers in view of the classical theory of …

[HTML][HTML] New mechanisms of dislocation line-loop interactions in BCC-Fe explored by molecular dynamics method

Z Wang, M Yu, X Long, C Yang, N Gao, Z Yao, X Wang - Results in Physics, 2022 - Elsevier
Abstract Development and safe application of nuclear energy depend on the performance of
the structural materials. Mechanical property degradation of irradiated metals has been …

Geometric studies on Mittag-Leffler Type function involving a new integrodifferential operator

F Ghanim, HF Al-Janaby, M Al-Momani, B Batiha - Mathematics, 2022 - mdpi.com
The generalized exponential function in a complex domain is called the Mittag-Leffler
function (MLF). The implementations of MLF are significant in diverse areas of science. Over …

Fractional Integral of the Confluent Hypergeometric Function Related to Fuzzy Differential Subordination Theory

M Acu, G Oros, AM Rus - Fractal and Fractional, 2022 - mdpi.com
The fuzzy differential subordination concept was introduced in 2011, generalizing the
concept of differential subordination following a recent trend of adapting fuzzy sets theory to …

[HTML][HTML] A new Euler-Beta function model with statistical implementation related to the Mittag-Leffler-Kummer function

F Ghanim, HF Al-Janaby, M Al-Momani - Kuwait Journal of Science, 2024 - Elsevier
Recently, the realm related to Euler's Beta function has played a significant role in the
development of special function theory. In this study, a new extension of the special function …

Strong Differential Subordinations and Superordinations for Riemann–Liouville Fractional Integral of Extended q-Hypergeometric Function

A Alb Lupaş, GI Oros - Mathematics, 2023 - mdpi.com
The notions of strong differential subordination and its dual, strong differential
superordination, have been introduced as extensions of the classical differential …