In this dissertation, we use the Natural transform decomposition method to obtain approximate analytical solution of fractional differential equations. This technique is a combination of decomposition methods and natural transform method. We use the Adomian decomposition, the homotopy perturbation and the Daftardar-Jafari methods as our decomposition methods. The fractional derivatives are considered in the Caputo and Caputo- Fabrizio sense. / Mathematical Sciences / M. Sc. (Applied Mathematics)

Taking as its central motif Hans-Georg Gadamer’s claim that “the true locus of hermeneutics is [the] in-between,” this thesis defends Gadamer’s concept of the fusion of horizons as radically interstitial against recent allegations that link his project to Romantic interpretive commensurability. Distancing Gadamer’s philosophical hermeneutics from both the Romantic hermeneutical approach and the incommensurabilist alternative proposed by John D. Caputo, this study reassesses Gadamer’s contributions toward understanding the other in a manner that avoids both imperious reductions and hyperbolic valorizations of the other’s alterity. Extending this discussion to cross-cultural interpretation, this thesis concludes by arguing for the fusion of horizons as a model for conceiving a new postcolonial space, irreducible to the commensurabilism of colonialism and the incommensurabilism of nativism. To this end, Gadamer is brought into discussion with Homi K. Bhabha, whose work on cultural hybridity offers a striking parallel with Gadamer’s fusion of horizons.

Includes bibliographical references (leaves 145-149) / In this dissertation the author reflects on the absence and presence of God within Christianity. This is accomplished through engaging and seeking to understand key conversations following the Copernican Revolution and the-death-of God . The goal is to understand and model how it is that Christianity defines itself as a faith tied to knowing God and yet is appraised by many as a religion characterized by God's conspicuous silence, absence and death. These are 'God after God' conversations understood to include contributions from philosophers, Essentialists, and Christians following the-death-of God. With these 'God after God' conversations are tied to the institutional expression of Christianity and the diversification of and within religion during the modern era. It is with this in mind that the conjunction and disjunction between Christianity as religion, spirituality, and mysticism can perhaps enable a post-institutional expression of Christianity as the practice of the relational presence of God. / Christian Spirituality, Church History and Missiology / M. Th. (Christian Spirituality)

Tato diplomová práce se zabývá numerickými metodami pro řešení počátečních problémů zlomkových diferenciálních rovnic s Caputovou derivací. Jsou uvedeny dva numerické přístupy spolu s přehledem základních aproximačních formulí. Dvě verze Eulerovy metody jsou realizovány v Matlabu a porovnány na základě numerických experimentů.

AN ABSTRACT OF THE DISSERTATION OFSaleh Aljurbua, for the Doctor of Philosophy degree in APPLIED MATHEMATICS, presented on January 27th, 2021, at Southern Illinois University Carbondale. TITLE: THE EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS FOR ORDER q ∈ (n − 1, n], n ∈ N, WITH ANTIPERIODIC BOUNDARY CONDITIONS MAJOR PROFESSOR: Dr. Mingqing Xiao Differential equations play a major role in natural science, physics and technology. Fractional differential equations (FDE) gained a lot of popularity in the past three decades and they became very important in economics, physics and chemistry. In fact, fractional integrals and derivatives became essential and made a significant contribution in dynamical systems which simulate it. They fill the gaps between the integer-types of integrations and derivatives in the classical settings. This work consists of four Chapters. The first Chapter will be covering background, preliminary and fundamental tools used in our dissertation topic. The second Chapter consists of the existence of solutions for nonlinear fractional differential equations of some specific orders with antiperiodic boundary conditions followed by the main topic which is the existence of solutions for nonlinear fractional differential equations of order q ∈ (n−1, n], n ∈ N with antiperiodic boundary conditions of a continuous function f(t, x(t)). Moreover, definitions, theorems and some lemmas will be provided. v In the third Chapter, we offer some examples to illustrate our approach in the main topic. Finally, the fourth Chapter includes the summary and perspective researches.

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Abstract in English / In this dissertation we apply linear evolution equations to the Newtonian derivative, Caputo time fractional derivative and $-time fractional derivative. It is notable that the most utilized fractional order derivatives for modelling true life challenges are Riemann- Liouville and Caputo fractional derivatives, however these fractional derivatives have the same weakness of not satisfying the chain rule, which is one of the most important elements of the match asymptotic method [2, 3, 16]. Furthermore the classical bounded perturbation theorem associated with Riemann-Liouville and Caputo fractional derivatives has con rmed not to be in general truthful for these models, particularly for solution operators of evolution systems of a derivative with fractional parameter ' that is less than one (0 < ' < 1) [29]. To solve this problem, we introduce the derivative with new parameter, which is de ned as a local derivative but has a fractional order called $-derivative and apply this derivative to linear evolution equation and to support what we have done in the theory, we utilize application to population dynamics and we provide the numerical simulations for particular cases. / Mathematical Sciences / M.Sc. (Applied Mathematics)

In contemporary, French phenomenology, a debate has arisen concerning whether phenomenology can allow for a certain kind of “theological” consideration. In particular, Jean-Luc Marion argues that the potential of the reduction has not been fully explored and that a full reduction to pure givenness in fact allows one to give an account of the paradoxical experience of the impossible beyond experience, which is described as a phenomenon of revelation and may include a Revelation of God. Marion’s claims have been considered contentious. As I interpret it, the debate plays out between 1) those who also admit that phenomenology can occasion a form of “theological” consideration, but maintain, unlike Marion, that it remains a more existential affirmation of the impossible beyond experience, represented by Jacques Derrida and John Caputo, and 2) those who refuse any role for this impossible beyond experience within phenomenology (and perhaps more generally), and insist that phenomenology be preserved as an essentialist science of the appearances, represented by Dominique Janicaud. I take the positions of Derrida and Caputo, on the one hand, and Janicaud, on the other, to each entail extreme consequences that ought to be avoided—the former resulting in a form of irrationalism and the latter converting phenomenology into a form of pragmatism. Furthermore, I find Marion’s basic claim, that the impossible beyond experience ought to have a role in shaping finite experience, to be worth investigating further. However, Marion concedes too much to the deconstructive position of Derrida and Caputo at the outset, and so I find that the philosophy of Hans-Georg Gadamer provides an opportunity to correct some of the deficiencies in Marion’s position, but also argue to a similar end as he does. I find that Gadamer’s position incorporates an implicit analogical structure between rational experience and the impossible, thereby permitting one to maintain the impossible as impossible, but also affirm a certain possibility for understanding it.

Toni Morrison reinterprets and reconstitutes American history by placing the lives, stories and experiences of African Americans in a position of centrality, while relegating white American history and cultural traditions to the margins of her narratives. She rewrites American history from an alternative - African American woman's - perspective, and subverts the accepted racist and patriarchally inspired `truths' about life, love and women's experiences through her sympathetic depiction of murderous mother love and complex female relationships in Beloved. She writes about oppression, pain and suffering, and of the need for the acknowledgement and alleviation of the various forms of oppression that scar human existence. Morrison's engagement with healing in Beloved forms the central focus of this short dissertation. The novel is analysed in relation to Mary Douglas's `Two Bodies' theory, John Caputo's ideas on progressive Foucaultian hermeneutics and healing gestures, and Julia Martin's thoughts on alternative healing practices based on non-dualism and interconnectedness. Within this interdisciplinary context, Beloved is read as a `small start' to `creative engagement' with alternative healing practices (Martin, 1996:104). / English / M.A. (English)

<p>This work attempts an answer to two questions. Firstly, is it possible to experience meaning when everything is transient? And secondly, in what way is objectivity possible when it comes to such phenomena as existential meaning? The questions originate from our insideperspective, and it is from what we have experienced ourselves that we try to make intelligible existential meaning. We are to a great extent part of the context in which we live. Our ability to contemplate our situation and our own contemplation is taking place in interplay with others. To make room for the small things meaningful in life, the expression existential meaning is used. In this expression both the meaningless and the meaningful are included, since both are needed for our understanding of meaning. Without the Other and that which is different, the individual person’s formation of existential meaning becomes just more of the same, it becomes an enclosure in the present. The encounter with the Other makes room for that which is different to break through.</p><p>Objectivity is possible when it comes to existential meaning, if one views objectivity as a process between people. It is performed in conversation. Those who converse, refer to their bodily experiences of the Time that remains and help each other, using language as the tool, to formulate their experiences. They compare each others’ manifestations of existential meaning,</p><p>and with the help of language they go further in the formation of what is meaningless and meaningful. Their conversations imply a normative presupposition that they can justify the claims that they make. Because it is actually not possible to make intelligible existential meaning in words other than by doing it as a mix of descriptions of that which is manifesting itself and linguistic rewritings in the form of stories. This expression of objectivity has a normative aspect, namely in relation to the possibility that we can be wrong. Therefore, we need each other in the act of judging, and together we are guided by the fact that it later on can emerge things that show that our judgment has not been fully correct. </p>