Classical Economic models (CEM) based on integer-order classical calculus commonly assume instantaneous market clearing and memoryless agent behavior. These assumptions frequently fail to account for the widespread reality of economic hysteresis, path dependency, and delayed responses. This study suggests for the incorporation of fractional calculus into economic dynamics as a more effective framework for describing such occurrences. We concentrate on the Conformable Fractional Derivative (CFD), a contemporary fractional operator that preserves classical calculus's basic concepts, such as the product, quotient, and chain rules, while adding an adjustable memory parameter. This characteristic makes it ideal for economic modeling. We reformulate foundational economic models, counting capital accumulation and price alteration components, utilizing CFD. An expository arrangement to a fragmentary development show illustrates how a unitary subordinate arrange creates trends characterized by introductory dormancy and quickening development, adjusting more closely with watched financial behavior than its classical partner. The CFD is displayed as an effective, however numerically tractable, device for upgrading the authenticity and prescient control of financial hypothesis.

1. In times of crisis, effective inventory management has become one of the main issues of operational efficiency and organizational competitive advantage. Organizations face unending challenges in...

This study, employing applied criminal statistics, aims to estimate the prevalence of bullying among inmates in Palestinian correctional and rehabilitation centers, to test the significance of statistical differences in prevalence rates according to various socio-demographic variables, and to classify the dominant interactive categories (bullies, victims, and bully-victims). The study sample comprised 340 inmates, randomly selected from four correctional facilities, utilizing two distinct scales to measure bullying perpetration and victimization. The findings revealed the following distribution: bullies accounted for 13.5%, victims for 10.2%, bully-victims for 37.8%, and neutral individuals for 38.5%. The results further indicated significant associations; higher prevalence rates were observed among inmates with a duration of stay of less than one year, unmarried inmates, first-time incarcerants, and convicted individuals. In terms of professional backgrounds, bullies were predominantly self-employed, while victimization rates were higher among employees. Additionally, the bully-victim category showed higher rates among unmarried inmates, first-time incarcerants, those with industrial craft professions, and convicted individuals. Regarding behavioral patterns, social neglect/ignoring was the most frequently perpetrated behavior by bullies, whereas spreading rumors was the most common form of victimization experienced. Among the bully-victims, name-calling was the most perpetrated behavior, while spreading rumors was the most frequently reported victimization they endured. Overall, these results confirm the widespread prevalence of indirect and non-physical patterns of bullying, underscoring the critical need for correctional policies to implement preventive and rehabilitative interventions that are explicitly tailored to these specific demographic profiles and interactive role dynamics.

Managing inventory for perishable goods remains a persistent operational challenge, largely because conventional exponential decay models struggle to capture the irregular deterioration patterns observed in practice. This paper develops the Reliable Fractional Derivative (RFD) framework, which incorporates memory effects into the modeling of product decay through a time-shifted kernel. Unlike standard approaches that assume constant deterioration, this formulation accommodates both accelerating and decelerating patterns depending on product characteristics and storage conditions. We derive closed-form expressions for optimal ordering quantities under both deterministic and stochastic demand, then test the framework's performance through numerical experiments spanning two thousand parameter combinations. The analysis reveals that RFD models deliver the greatest improvements when deterioration rates are steep, holding costs are substantial, or storage horizons are extended—conditions under which switching from conventional methods yields average cost reductions approaching nineteen percent, with substantially larger gains in certain cases. A pharmaceutical application confirms savings between 3.6 and 9.1 percent relative to misspecified traditional models. These findings connect with recent industry movements toward more sophisticated safety-stock practices, offering managers a principled basis for selecting inventory policies aligned with actual product behavior rather than assuming decay conforms to simpler theoretical forms.