A note on the existence of solutions for some boundary value problems of fractional differential inclusions

Abstract

We study the existence of solutions for fractional differential inclusions of order q ∈ (1, 2] with families of mixed and closed boundary conditions. We establish Filippov type existence results in the case of nonconvex setvalued maps.MSC 2010: 34A60, 34A08, 35R11

Fractional differential inclusions with fractional separated boundary conditions

“…For some recent works on the topic, see ( [1, 2, 3, 4, 5, 7, c 2012 Diogenes Co., Sofia pp. 362-382 , DOI: 10.2478/s13540-012-0027-y 8,9,10,11,12,13,14,15,16,17,18,21,22,23,24,27,31,35,36,37,38]) and references therein.…”

Revisiting Planned Relocation as a Climate Change Adaptation Strategy:<br>The Added Value of a Human Rights-Based Approach

“…Furthermore, empirical research on previous resettlements show -even in cases when it is possible to find a new job -that significant reductions in levels of earnings are inevitable. 78 Similarly, relocation can easily lead to the situation where the right to education is sacrificed. The right to education has a solid basis in several universal documents 79 and is both a human right in itself and an indispensable means of realizing other human rights.…”

“…The record of previous experiences confirms that many people, who were removed by development projects, ended up homeless or had their living conditions worsen dramatically. 62 The example of the Foum-Gleita irrigation project, implemented during the late 1970s and early 1980s in Mauritania, shows that only 200 out of 881 displaced families were able to reconstruct their houses successfully; the rest lived there for two years or longer in tents or under tarpaulins. 63 In the context of climate-induced resettlement, it is projected that many people will have to resettle from rural to urban zones.…”

“…According to the respective research, the loss of a family's individual home and the loss of the group's cultural space results in alienation and status deprivation and leads to a lasting sense of placelessness among relocated people. 69 Therefore, planned relocation as an adaptation strategy presents a threat for the fulfilment of the right to adequate housing of resettled people and leads to numerous material, social and cultural losses. The restoration of the right to adequate housing should take into account the need to compensate, also for these types of losses, and to restore the livelihood of uprooted people.…”

“…Cernea confirms in his analysis of past experiences with resettlement due to development projects that planners tend to overlook socio-cultural and psychological dimensions and rarely take into account the importance of reintegration within host populations and compensation for these community-related losses. 138 A human rights-based approach can bring the attention of policy/ decision-makers to such questions as: 7) Are cultural rights and the cultural dimension of other rights acknowledged? This means that not only the right to take part in cultural life should be addressed more carefully, but also that the sensitive and often neglected dimensions of the material rights (such as the right to adequate housing) should be ensured.…”