Analytical solutions of the multi-term modified power law wave equations in a finite domain

Fractional partial differential equations with more than one fractional derivative term in time, such as the Szabo wave equation, or the power law wave equation, describe important physical phenomena. However, studies of these multi-term time-space or time fractional wave equations are still under development. In this paper, multi-term modified power law wave equations in a finite domain are considered. The multi-term time fractional derivatives are defined in the Caputo sense, whose orders belong to the intervals (1, 2], [2, 3), [2, 4) or (0, n) (n > 2), respectively. Analytical solutions of the multi-term modified power law wave equations are derived. These new techniques are based on Luchko’s Theorem, a spectral representation of the Laplacian operator, a method of separating variables and fractional derivative techniques. Then these general methods are applied to the special cases of the Szabo wave equation and the power law wave equation. These methods and techniques can also be extended to other kinds of the multi term time-space fractional models including fractional Laplacian.

Using reflective practice assessment in the first year of law to encourage a positive professional identity and promote law student well-being

In this paper we argue that intentional curriculum design in the first year of law should encourage law students to develop an emergent sense of a positive professional identity. When first year law students engage with a nascent notion of a positive professional identity, their well-being is supported because their studies are informed and contextualised by a sense of purpose for their future professional life. In a first year law subject run for the first time at the QUT Law School in 2011, reflective practice was successfully used to achieve these goals. The paper discusses the subject, the opportunity of using reflective practice to teach a positive sense of professional identity, and some student perspectives on the subject’s design.

Harnessing the power of hope : happier law students to grow a healthier profession

With the recognition of the high incidence of depression and psychological distress in the legal profession, positive programs and education are being introduced at several levels, including law schools.

Promoting law student well-being through a first year law subject

-First, the incidence of psychological distress in law students is uncomfortably high. -Second, we cannot identify with precision the exact factors that are causing this psychological distress. -Third, cross sectional studies (by themselves) cannot tell us whether it is law school that is creating these levels of psychological distress, or whether prospective law students already possess these attributes. -Fourth, if law school is somehow causing or contributing to this psychological distress, cross sectional studies (by themselves) cannot tell us when in the law degree psychological distress is most likely to occur.

Reflective practice as a tool for addressing high levels of psychological distress in Australian law schools and the legal profession

This paper discusses: -The need for law schools to use curriculum as a site for positive interventions to support student psychological well-being. -The potential for law school interventions to impact on the psychological well-being of the profession. -Reflective practice as a possible tool for promoting psychological well-being in law school and the profession because it provides a way of coping with ‘indeterminate zones’ of experience.

Digital forensics in law enforcement: the case of online victimisation of children

Online victimisation of children is concerned with sexual abuse caused with the help of online technologies. Digital forensics is a powerful methodology to discover, prevent and bring criminals to justice. Digital forensics is dependent on tools and access to information from a variety of sources in digital government. This paper reports from a knowledge enhancement project to gain new insights into offender investigations in law enforcement.