On the existence of solutions to fractional differential equations involving Caputo -derivative in Banach spaces.

The generalization of BVPs always covers a wide range of equations. Our choice in this research is the generalization of Caputo-type fractional discrete differential equations that include two or more fractional -integrals. We analyze the existence and uniqueness of solutions to the multi-point nonlinear BVPs base on fixed point theory, including fixed point theorem of Banach, Leray-nonlinear Schauder's alternative, and Leray-degree Schauder's theory.

Arthroscopic anterior cruciate ligament reconstruction with and without tourniquet use: an updated systematic review and meta-analysis on clinical outcomes.

Background: The use of a tourniquet is common during anterior cruciate ligament (ACL) reconstruction, offering convenience for the surgical procedure. However, the potential adverse effects of tourniquet use have gained increasing attention from clinical researchers. We conducted this systematic review and meta-analysis to compare the clinical outcomes of tourniquet application versus non-tourniquet approach during arthroscopic ACL reconstruction.

Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives.

In this paper, we investigate the generalized Langevin-Sturm-Liouville differential problems involving Caputo-Atangana-Baleanu fractional derivatives of higher orders with respect to another positive, increasing function denoted by ρ. The fixed point theorems in the framework of Kransnoselskii and Banach are utilized to discuss the existence and uniqueness of the results. In addition, the stability criteria of Ulam-Hyers, generalize Ulam-Hyers, Ulam-Hyers-Rassias, and generalize Ulam-Hyers-Rassias are investigated by non-linear analysis besides fractional calculus.

Arthroscopic Bankart repair vs. Latarjet procedure for recurrent shoulder instability: a meta-analysis of clinical outcomes and complication rates in general and athletic populations.

Background: The Bankart repair and Latarjet procedure are both effective surgical methods for treating repeated recurrent anterior dislocation of the shoulder. However, there is still little consensus regarding the standard treatment for recurrent anterior instability of the shoulder. Typically, the choice of treatment has been influenced more by training and tradition rather than the existing evidence.

Navigating climate complexity and its control via hyperchaotic dynamics in a 4D Caputo fractional model.

This interdisciplinary study critically analyzes current research, establishing a profound connection between sea water, sea ice, sea temperature, and surface temperature through a 4D hyperchaotic Caputo fractional differential equation. Emphasizing the collective impact on climate, focusing on challenges from anthropogenic global warming, the study scrutinizes theoretical aspects, including existence and uniqueness. Two sliding mode controllers manage chaos in this 4D fractional system, assessed amid uncertainties and disruptions.