The purpose of the report is to present a range of mathematical physical science and engineering investigations that encompasses both fractional calculus, as well as classical methods. The scope of topics I believe reflects our times of a complex world simplified with mathematics and computation aimed at energy and environmental issues. Several original ideas and fractional calculus and fluid mechanical applications are included. Altogether these notes are intended
The purpose of the report is to present a range of mathematical physical science and engineering investigations that encompasses both fractional calcu...
Mathematics and engineering analysis for a multi-dimensional, multi-disciplinary world has embraced kinematics, motions, and energy with classical calculus, as well as fractional. Moreover, traditional education physical science and engineering areas are blending and mixing for research and for real design applications. These notes and investigations present intermediate and advanced level treatments with a sprinkling of elementary. The presented calculus has an evolutionary perspective of addressing change, as well as accumulated change in a unified manner to better understand motions and...
Mathematics and engineering analysis for a multi-dimensional, multi-disciplinary world has embraced kinematics, motions, and energy with classical cal...
Population count is both a Nation's resource and driver of public policy analysis decision-making. This report derives, summarizes, and calculates simple continuous, as well as, discrete accounting life tables. New bio-mathematical approaches and applications of differential equations, of probability and random processes, and of fractional calculus to competing species as people chemistry or population kinetics with numerous applications to human behaviors, to ecological dynamics, to Lotka-Volterra equations' modifications, and to epidemiological modeling are presented. The collection of...
Population count is both a Nation's resource and driver of public policy analysis decision-making. This report derives, summarizes, and calculates sim...
The purpose of the report is to present a range of mathematical science and engineering investigations that encompass both fractional calculus, as well as classical methods. The scope of applications I believe reflects our times of a complex world simplified with mathematics and computation aimed at safe energy and environmental issues. New ideas, fractional calculus derivations, and fluid mechanical applications are included. Altogether these notes are intended to enhance a curriculum in mathematics, science, and engineering.
The purpose of the report is to present a range of mathematical science and engineering investigations that encompass both fractional calculus, as wel...