1,069 research outputs found

    Inverse source problems for degenerate time-fractional PDE

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    In this paper, we investigate two inverse source problems for degenerate time-fractional partial differential equation in rectangular domains. The first problem involves a space-degenerate partial differential equation and the second one involves a time-degenerate partial differential equation. Solutions to both problem are expressed in series expansions. For the first problem, we obtained solutions in the form of Fourier-Legendre series. Convergence and uniqueness of solutions have been discussed. Solutions to the second problem are expressed in the form of Fourier-Sine series and they involve a generalized Mittag- Leffler type function. Moreover, we have established a new estimate for this generalized Mittag-Leffler type function. The obtained results are illustrated by providing example solutions using certain given data at the initial and final time.Comment: 12 pages, 8 figure

    Inverse Problems of a Fractional Differential Equation with Bessel Operator

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    Inverse initial and inverse source problems of a time-fractional differential equation with Bessel operator are considered. Results on existence and uniqueness of solutions to these problems are presented. The solution method is based on series expansions using a set of Bessel functions of order zero. Convergence of the obtained series solutions is also discussedComment: 11 pages, No figure

    Year 1, The Experience of Syrian Refugees in Toronto: Government-Assisted versus Privately Sponsored Refugees.

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    Research Questions – What are the most useful services and programs offered to Syrian refugees during their first year of arrival? In particular, how have these services differed in the way they offer support to government-assisted refugees and privately sponsored refugees? How do integration trajectories differ between government-assisted refugees and privately sponsored refugees within their first year of arrival? Design/methodology/approach – This study utilizes qualitative interviewing strategies to address the research questions. I have adopted an inductive approach for this research where the theory was derived by gathering data through in-depth, semi-structured interviews with eight government- assisted and seven privately sponsored Syrian refugees in Toronto a year following arrival. I used the social inclusion versus social exclusion framework and the social capital theory as key concepts when analyzing the data. My approach in this research was fueled by social justice and equity issues that emerged within my own life history as a female Palestinian immigrant in Canada. With that perspective in mind, the inception and design of this study was guided by feminist research. Interviews were analyzed for emergent categories and common themes. Findings – The most useful services and programs offered to Syrian refugees during their first year of arrival were government agencies and community organizations. These services differed in the ways that they offered support to government assisted and privately sponsored refugees. Government assisted refugees often referred to individuals they have established connections with such as host volunteers or settlement workers when faced with challenges, as opposed to privately sponsored refugees who depended on their sponsor for access to a wide range of services and resources. Moreover, my findings illustrate that trust influences the building of bonding and bridging social capital and the way in which the host society responded to Syrian refugees’ language challenges influenced their sense of social inclusion and/or social exclusion. Findings also suggest that the orientation session was found to be insufficient by most Syrian refugees as it did not cover the most useful information needed for their early integration period. In general, the integration trajectories of privately sponsored refugees are currently considered to be more positive than government assisted refugees as privately sponsored refugees have less language challenges post migration and have access to sponsors who sustain a social connection beyond the early months of resettlement. Research limitations/implications – By investigating stories of Syrian refugees in Toronto, the study explores subjective views of refugee experiences in this unique and rarely examined group. A larger sample will increase the confidence of the study’s findings and future studies should examine dynamics of these issues over time. Originality/value – This paper presents insight onto the integration trajectories of Syrian refugees from their own perspectives in the short term and how trust and empathy can play a role in facilitating a sense of social inclusion and the building of bonding and bridging social capital. The study’s qualitative approach enabled the examination of pre and post migration challenges experienced by Syrian refugees beyond those typically studied in this literature and led to unique recommendations that provide useful data for program and policy design

    Children of Drama:An Arts-Based Educational Action Research Project Applied to a Group of In-Service Educators

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    Children of Drama is an arts-based educational action research project with five drama pedagogy actions, launched in 2019 at the University of Gävle, Sweden. It aimed to explore drama pedagogy’s personal and professional impacts on a group of in-service educators using Winnicott’s potential space theory. The results revealed that participants enriched their teaching method toolbox with drama pedagogical techniques and theories, fostering self-exploration and motivation to use drama in the classroom. Notably, the qualities of the drama pedagogical instructor and environment enhanced safety, inspiration, and engagement. This study contributes to research in drama pedagogy and educators’ arts-based professional development
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