On the sulutions of a fractional differemtial equation

We have showed the results obtained in [1] are incorrect and the fractional complex transform is invalid to the fractional differential equation which contain modified Riemann-Liouville fractional derivative

On time fractional Cahn-Allen equation

In [1], Ozkan Guner et al. obtained some exact solutions of the time fractional Cahn-Allen equation. By using the method proposed in [10], we have tested these solutions and have found that they are not the solutions of this equation

Solutions of nonlinear fractional coupled Hirota-Satsuma-KdV Equation

Our interest in the present work is in implementing the FPSM to stress it power in handing the nonlinear fractional coupled Hirota-Satsuma-KdV Equation. The approximate analytical solution of this type equations are obtained

Fractional power series method for solving fractional differemtial equation

we use fractional power series method (FPSM) to solve some linear or nonlinear fractional differential equations . Compared to the other method, the FPSM is more simple, derect and effective

High-Temperature Adhesives for Thermally Stable Aero-Assist Technologies

Aero-assist technologies are used to control the velocity of exploration vehicles (EVs) when entering Earth or other planetary atmospheres. Since entry of EVs in planetary atmospheres results in significant heating, thermally stable aero-assist technologies are required to avoid the high heating rates while maintaining low mass. Polymer adhesives are used in aero-assist structures because of the need for high flexibility and good bonding between layers of polymer films or fabrics. However, current polymer adhesives cannot withstand temperatures above 400 C. This innovation utilizes nanotechnology capabilities to address this need, leading to the development of high-temperature adhesives that exhibit high thermal conductivity in addition to increased thermal decomposition temperature. Enhanced thermal conductivity will help to dissipate heat quickly and effectively to avoid temperature rising to harmful levels. This, together with increased thermal decomposition temperature, will enable the adhesives to sustain transient high-temperature conditions

Constructing Operator Basis in Supersymmetry: A Hilbert Series Approach

In this paper we introduce a Hilbert series approach to build the operator basis for a N = 1 supersymmetry theory with chiral superfields. We give explicitly the form of the corrections that remove redundancies due to the equations of motion and integration by parts. In addition, we derive the maps between the correction spaces. This technique allows us to calculate the number of independent operators involving chiral and antichiral superfields to arbitrarily high mass dimension. Using this method, we give several illustrative examples.Comment: 38 pages, 8 figure

Supporting the Use of Social Media by Emergency Managers: Software Tools to Overcome Information Overload

Information overload has been suggested as a potential barrier to use of social media by emergency managers, especially for gathering information during disasters. This paper, based on a survey of 477 U.S. county-level emergency managers, examines the relationship of the perception of information overload as a barrier to social media use for gathering information, to the intention to use social media. It also examines the relationship of perceived usefulness of certain technological advancements currently being developed to intention to use. Results indicate that emergency managers’ perception of information overload as a barrier to use is negatively related to intention to use it, while perceptions of the usefulness of these technologies are positively related to intention to use. The study calls attention to the importance of resolving information overload to increase the use of social media for emergency management, and suggests the implementation of appropriate software tools to ameliorate this problem

Nitrogen utilization analysis reveals the synergetic effect of arginine and urea in promoting fucoxanthin biosynthesis in the mixotrophic marine diatom Phaeodactylum tricornutum

Fucoxanthin is a new dietary ingredient applied in healthy foods with specific benefits of body weight loss and liver fat reduction. The marine diatom Phaeodactylum tricornutum is a highly suitable species for fucoxanthin production. In the present study, aiming to promote fucoxanthin biosynthesis in mixotrophic P. tricornutum , NaNO 3 , tryptone, and urea were evaluated as nitrogen sources with 0.10 mol L −1 of glycerol as the organic carbon source for mixotrophic growth in shake flasks. Compared to NaNO 3 , the mixture of tryptone and urea (referred to as T+U, 1:1, mol N:mol N) as organic nitrogen sources could induce a higher biomass and fucoxanthin production. Through nitrogen utilization analysis, leucine, arginine, lysine, and phenylalanine in the T+U medium were identified as the amino acids that primarily support cell growth. Among those amino acids, arginine causes the highest rate of nitrogen utilization and cell growth promotion. After 12 days of cultivation, the highest biomass concentration (3.18 g L −1 ), fucoxanthin content (12.17 mg g −1 ), and productivity (2.68 mg L −1 day −1 ) were achieved using 25 mmol N L −1 of arginine and 5 mmol N L −1 of urea as nitrogen sources, indicating that arginine and urea performed synergistically on enhancing biomass and pigment production. This study provides new insights into the promotion of fucoxanthin biosynthesis by nitrogen utilization analysis and verifies the synergetic effect of arginine and urea on facilitating the development of a promising strategy for efficient enhancement of fucoxanthin production through mixotrophic cultivation of P. tricornutum