The broad-scale inventories of alien species reveal macroecological patterns, but these often fall short in guiding local-level management strategies. Local authorities, tasked with on-the-ground management, require precise knowledge of the occurrence of invasive species tailored to their jurisdictional boundaries. What proves critical at the local scale may not hold the same significance at national or regional levels.
View Article and Find Full Text PDFThis study solves the coupled fractional differential equations defining the massive Thirring model and the Kundu Eckhaus equation using the Natural transform decomposition method. The massive Thirring model is a dynamic component of quantum field theory, consisting of a coupled nonlinear complex differential equations. Initially, we study the suggested equations under the fractional derivative of Caputo-Fabrizio.
View Article and Find Full Text PDFBackground: Severe mental disorders during childhood and adolescence can be chronic and disturbing, and may result in serious impairments in functioning. Research on the influence of such factors in the functional recovery of children diagnosed with severe mental illnesses is scant. This study aims to enhance understanding of the patterns and descriptions of social factors in the optimal functioning of children with severe mental illnesses.
View Article and Find Full Text PDFIn this study, we introduce a novel iterative method combined with the Elzaki transformation to address a system of partial differential equations involving the Caputo derivative. The Elzaki transformation, known for its effectiveness in solving differential equations, is incorporated into the proposed iterative approach to enhance its efficiency. The system of partial differential equations under consideration is characterized by the presence of Caputo derivatives, which capture fractional order dynamics.
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