Academia Oamenilor de Știință din România

Rupture dynamics of a moderate intraplate earthquake sequence in the Târgu Jiu region, Romania

Abstract A significant seismic sequence occurred in 2023 in the Târgu Jiu region (Romania), at the boundary between the Getic Depression and the Southeastern Carpathians. The sequence began with two moderate mainshocks (Mw 4.9 and Mw 5.4) located in the active crust (~ 20 km dept...

A Study of Constrained Fractional Optimization Problems Involving Interval-Valued Functions

This study explores the optimality criteria for a class of fractional optimization problems characterized by interval-valued objective functions under constraints. These problems involve curvilinear fractional integral cost functionals that are path-independent and fundamentally...

Beyond One-Size-Fits-All: Individually Tailored Dietary Interventions in Modern Obesity Care

Obesity is a complex, multifactorial chronic disease characterized by excessive and/or aberrant adiposity that requires interventions beyond conventional calorie-restriction models. Current clinical guidelines converge on behavioral modification, encompassing nutritional therapy,...

ON CONTROLLED FRACTIONAL VARIATIONAL INEQUALITIES INVOLVING CONVEX FUNCTIONALS

Abstract This paper explores weak sharp solutions for a controlled variational inequality governed by a convex fractional curvilinear integral functional with path-independent properties. The fractional framework involves derivatives or integrals of non-integer order, which intro...

Comparative Analysis by Machine Learning of Geriatric Frailty and Alzheimer’s Disease Classification Using Independent Datasets

Frailty syndrome and Alzheimer’s disease are prevalent conditions in the elderly that are associated with aging, decreased quality of life, and a significant healthcare burden. Evidence for a relationship between physical frailty and neurodegenerative decline is accumulating. Thi...

The Cost of the Cure: Antibiotic Exposure as a Risk Factor for Irritable Bowel Syndrome

The intricate interplay between the gut microbiome and the enteric nervous system remains a paramount focus in understanding the multifactorial pathogenesis of disorders of gut–brain interaction (DGBI), most notably irritable bowel syndrome (IBS). While the clinical entity of pos...

Proximal point method with Bregman distance for nonconvex quasi-equilibrium problems

We introduce a Bregman proximal point method for solving pseudomonotone quasi-equilibrium problems. The algorithm is formulated using Bregman distances generated by Legendre functions and allows the bifunction to be nonconvex. Unlike existing Euclidean proximal approaches, our me...