On the absence of global solutions to two-times-fractional differential inequalities involving Hadamard-Caputo and Caputo fractional derivatives

<abstract><p>In this paper, we consider a two-times nonlinear fractional differential inequality involving both Hadamard-Caputo and Caputo fractional derivatives of different orders, with a singular potential term. We obtain sufficient criteria depending on the parameters of the problem, for which a global solution does not exist. Some examples are provided to support our main results.</p></abstract>

Global impact of vaccine nationalism during COVID-19 pandemic

Vaccines are the best chance to control the pandemic—unless leaders succumb to vaccine nationalism. Vaccine nationalism is a frequent recurrence, especially during a brand-new market distribution. The development of safe and effective COVID-19 vaccines in such a short space of time is a testament to modern scientific abilities. It will also test the world's political will and moral commitment to end this pandemic. As desperate as the COVID-19 pandemic, vaccine nationalism is already setting a foundation for itself and is considered socially and economically counterproductive. Vaccine equity is not just a theoretical slogan, and it protects people worldwide from new vaccine-resistant variants. Understanding and anticipating the consequences is vital, and creating a global solution approach to avoid them. This article evaluates the common issues previously faced and the plausible ones during this pandemic. A few recommendations are made to warn and accentuate the reality of this dire matter.

Wave-breaking phenomena and global existence for the weakly dissipative generalized Novikov equation

In this paper, we mainly study several problems on the weakly dissipative generalized Novikov equation. We first establish the local well-posedness of solutions. We then give the precise blow-up scenarios for the generalized Novikov equation provided the momentum density associated with their initial data changes sign, and obtain the blow-up rate of blow-up solutions. Finally, we prove that the equation has a global solution provided the momentum density associated with their initial data do not change sign.

Global Existence of Solution for the Fisher Equation via Faedo–Galerkin’s Method

In this study, we consider the Fisher equation in bounded domains. By Faedo–Galerkin’s method and with a homogeneous Dirichlet conditions, the existence of a global solution is proved.

Optimal L 2 -decay of solutions to a cubic dissipative nonlinear Schrödinger equation

This paper presents the optimality of decay estimate of solutions to the initial value problem of 1D Schrödinger equations containing a long-range dissipative nonlinearity, i.e., λ | u | 2 u. Our aim is to obtain the two results. One asserts that, if the L 2 -norm of a global solution, with an initial datum in the weighted Sobolev space, decays at the rate more rapid than ( log t ) − 1 / 2 , then it must be a trivial solution. The other asserts that there exists a solution decaying just at the rate of ( log t ) − 1 / 2 in L 2 .

Economic Emission Load Dispatch Problem with Valve-Point Loading Using A Novel Quasi-Oppositional-Based Political Optimizer

In the present paper, a novel meta-heuristic algorithm, namely quasi-oppositional search-based political optimizer (QOPO), is proposed to solve a non-convex single and bi-objective economic and emission load dispatch problem (EELDP). In the proposed QOPO technique, an opposite estimate candidate solution is performed simultaneously on each candidate solution of the political optimizer to find a better solution of EELDP. In the bi-objective EELDP, QOPSO is applied to simultaneously minimize fuel costs and emissions by considering various constraints such as the valve-point loading effect (VPLE) and generator limits for a generation. The effectiveness of the proposed QOPO technique has been applied on three units, six units, 10-units, 11-units, 13-units, and 40-unit systems by considering the VPLE, transmission line losses, and generator limits. The results obtained using the proposed QOPO are compared with those obtained by other techniques reported in the literature. The relative results divulge that the proposed QOPO technique has a good exploration and exploitation capability to determine the optimal global solution compared to the other methods provided in the literature without violation of any constraints and bounded limits.

A Novel Distributed and Federated Digital Contact Tracing Systems

There are several contact tracing solutions, some are for closed user groups, some are for the residents of a country, and some are open solutions with no clear boundary defined. These independent solutions are not adequate to support pre-pandemic global mobility. Ideally, what is needed is a global solution that can support decentralized control over data and at the same time support proximity data exchange among Apps developed by different vendors and for different countries. This paper proposes a family of contact tracing designs with low-risk anonymity that includes a centralized design, a distributed design, and a federated design for global solution.