Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences

Fractional calculus and its applications.

Fractional calculus was formulated in 1695, shortly after the development of classical calculus. The earliest systematic studies were attributed to Liouville, Riemann, Leibniz, etc. [1,2]. For a long time, fractional calculus has been regarded as a pure mathematical realm without real applications. But, in recent decades, such a state of affairs has been changed. It has been found that fraction...

Applied Mathematics & Information Sciences

Evapotranspiration is a central process of the hydrological cycle, and various water saving measures are based on it. However, there is little research work on evapotranspiration in the world. In particular, there is rare hydrological cycle-based research on the impact of channel lining on evapotranspiration in arid and semi-arid regions. This paper applies a hydrological cycle model to examine...

Applied Mathematics & Information Sciences

A newsboy model in which a vendor has a limited budget to procure the required items is developed. It is assumed that the manufacturer will either sell the items to the vendor outright or offer the items to the vendor with return policy. In the latter case, the manufacturer buys back from the vendor the unsold items at the end of the selling season. This study considers one item with budget con...

Applied Mathematics & Information Sciences

A data mule is a mobile device that can traverse a wireless sensor network field to move near stationary sensor nodes that are spatially dispersed for collecting data from them. Using the data mule can significantly reduce energy consumption of sensor nodes compared to common multihop forwarding schemes. However, it also increases the latency of gathering data of all nodes. In this paper, under...

Applied Mathematics in Biomedical Sciences and Engineering