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Søren Kierkegaard et Fernando Pessoa utilisèrent deux procédés littéraires similaires, la pseudonymie et l'hétéronymie, auxquels ils donnèrent un contenu différent. Le premier tente par ce biais de se rapprocher de l'Individu sans avoir à endosser l'esthétique, ni le religieux qu'il ne saurait atteindre pleinement ; le second, sous la figure de Caeiro, esquisse les traits d'un nouvel individu qu'illustrent à leur façon des êtres de fiction, les hétéronymes. Mais pour les deux auteurs, le souc...
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Part of Philosophical Theology in Transition (Vol. II/2): Atheistic Philosophers after Hegel and den scotistisch Tradition, wich obscures an phaenomenological and existential understanding of being (creation) as a gift, reject the existence of God to protect human dignity, independence and liberty, developed their own ontologies and are not postmetaphysical thinkers.
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Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different properties. However, many aspects from theoretical and practical points of view have still to be developed in relation to models based on fractional operators. This Special Issue is related to new developments on different aspects of fractional differential equations, both from a theoretical point of view and in terms of applications in different fields such as physics, chemistry, or control theory, for instance. The topics of the Issue include fractional calculus, the mathematical analysis of the properties of the solutions to fractional equations, the extension of classical approaches, or applications of fractional equations to several fields.
fractional qdifference equation  existence and uniqueness  positive solutions  fixed point theorem on mixed monotone operators  fractional pLaplacian  Kirchhofftype equations  fountain theorem  modified functional methods  Moser iteration method  fractionalorder neural networks  delays  distributed delays  impulses  Mittag–Leffler synchronization  Lyapunov functions  Razumikhin method  generalized convexity  bvex functions  subbsconvex functions  oscillation  nonlinear differential system  delay differential system  ?fractional derivative  positive solution  fractional thermostat model  fixed point index  dependence on a parameter  Hermite–Hadamard’s Inequality  Convex Functions  Powermean Inequality  Jenson Integral Inequality  Riemann—Liouville Fractional Integration  Laplace Adomian Decomposition Method (LADM)  NavierStokes equation  Caputo Operator  fractionalorder system  model order reduction  controllability and observability Gramians  energy inequality  integral conditions  fractional wave equation  existence and uniqueness  initial boundary value problem  conformable fractional derivative  conformable partial fractional derivative  conformable double Laplace decomposition method  conformable Laplace transform  singular one dimensional coupled Burgers’ equation
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The institution of monasticism in the Christian Church is in general decline, at least in socalled “first world” nations. Though there are many reasons for this, monastic leaders are confronted by the reality of fewer communities, monks, and nuns nonetheless. At the same time, many younger Christians are rediscovering the rich heritage of the monastic tradition. Though they themselves might not be called to join a traditional monastery, they are eager to appropriate monastic practices in their own lives. This had led to a movement known as the “new monasticism” or “secular monasticism.” Despite lacking a unified vision and any central organization, these new/secular monastics are attempting, in their own ways, to carry on the tradition and practices of Christian monasticism. As well, there is a movement within historical Christian monasteries to pour new wine into old wineskins. Traditional forms of monasticism are also generally flourishing in developing nations, breathing new life into monasticism. This volume looks at the current monastic landscape to assess where monasticism stands and to imagine ways in which it will grow in the future, leading not only to a renewed Christian monasticism but to new monasticisms.
religious pluralism  religious ambiguity  contemplative Christianity  lay contemplatives  monasticism  spiritual formation  Centering Prayer  New Monastic Communities  Vatican Council II  monasticism  monasticism  art  creativity  monk  artist  Anselm  vows  new monasticism  Proslogion  proof of God’s existence  religion and ecology  spiritual ecology  greening of religion  environmental humanities  monasticism  history of monasticism  landscape  double monasteries  gender cohabitation  Orthodox monasticism  monastic rules  monasticism  community  monotheism  spirituality  monogamy  monasticism  Beguine  spiritual formation  intentional community  spirituality  religious life  Catholic monasticism  Africa  cultural transfer  development  n/a
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This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas and to emphasize their applicability to reallife phenomena, by the inclusion of examples. These examples not only clarify the theoretical results presented, but also provide insight on how to apply, for future works, the techniques used.
Legendre wavelets  collocation method  threestep Taylor method  asymptotic stability  timedependent partial differential equations  noninstantaneous impulses  Caputo fractional derivative  differential equations  state dependent delays  lipschitz stability  limitperiodic solutions  difference equations  exponential dichotomy  strong nonlinearities  effective existence criteria  population dynamics  discrete Lyapunov equation  difference equations  Hilbert space  dichotomy  exponential stability  ?Laplacian operator  mean curvature operator  heteroclinic solutions  problems in the real line  lower and upper solutions  Nagumo condition on the real line  fixed point theory  coupled nonlinear systems  functional boundary conditions  Schauder’s fixed point theory  Arzèla Ascoli theorem  lower and upper solutions  first order periodic systems  SIRS epidemic model  mathematical modelling  Navier–Stokes equations  global solutions  regular solutions  a priori estimates  weak solutions  kinetic energy  dissipation  Bäcklund transformation  Clairin’s method  generalized Liouville equation  Miura transformation  Kortewegde Vries equation  secondorder differential/difference/qdifference equation of hypergeometric type  nonuniform lattices  divideddifference equations  polynomial solution  integrodifferentials  Sumudu decomposition method  dynamical system
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Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably widespread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences.
highly oscillatory  convolution quadrature rule  volterra integral equation  Bessel kernel  convergence  higher order Schwarzian derivatives  Janowski starlike function  Janowski convex function  bound on derivatives  tangent numbers  tangent polynomials  Carlitztype qtangent numbers  Carlitztype qtangent polynomials  (p,q)analogue of tangent numbers and polynomials  (p,q)analogue of tangent zeta function  symmetric identities  zeros  Lommel functions  univalent functions  starlike functions  convex functions  inclusion relationships  analytic function  Hankel determinant  exponential function  upper bound  nonlinear boundary value problems  fractionalorder differential equations  RiemannStieltjes functional integral  LiouvilleCaputo fractional derivative  infinitepoint boundary conditions  advanced and deviated arguments  existence of at least one solution  Fredholm integral equation  Schauder fixed point theorem  Hölder condition  generalized Kuramoto–Sivashinsky equation  modified Kudryashov method  exact solutions  Maple graphs  analytic function  Hadamard product (convolution)  partial sum  Srivastava–Tomovski generalization of Mittag–Leffler function  subordination  differential equation  differential inclusion  Liouville–Caputotype fractional derivative  fractional integral  existence  fixed point  Bernoulli spiral  Grandi curves  Chebyshev polynomials  pseudoChebyshev polynomials  orthogonality property  symmetric  encryption  password  hash  cryptography  PBKDF  q–Bleimann–Butzer–Hahn operators  (p,q)integers  (p,q)Bernstein operators  (p,q)Bleimann–Butzer–Hahn operators  modulus of continuity  rate of approximation  Kfunctional  HurwitzLerch zeta function  generalized functions  analytic number theory  ?generalized HurwitzLerch zeta functions  derivative properties  series representation  basic hypergeometric functions  generating functions  qpolynomials  analytic functions  Mittag–Leffler functions  starlike functions  convex functions  Hardy space  vibrating string equation  initial conditions  spectral decomposition  regular solution  the uniqueness of the solution  the existence of a solution  analytic  ?convex function  starlike function  stronglystarlike function  subordination  q Sheffer–Appell polynomials  generating relations  determinant definition  recurrence relation  q Hermite–Bernoulli polynomials  q Hermite–Euler polynomials  q Hermite–Genocchi polynomials  Volterra integral equations  highly oscillatory Bessel kernel  Hermite interpolation  direct Hermite collocation method  piecewise Hermite collocation method  differential operator  qhypergeometric functions  meromorphic function  Mittag–Leffler function  Hadamard product  differential subordination  starlike functions  Bell numbers  radius estimate  (p, q)integers  Dunkl analogue  generating functions  generalization of exponential function  Szász operator  modulus of continuity  function spaces and their duals  distributions  tempered distributions  Schwartz testing function space  generalized functions  distribution space  wavelet transform of generalized functions  Fourier transform  analytic function  subordination  Dziok–Srivastava operator  nonlinear boundary value problem  nonlocal  multipoint  multistrip  existence  Ulam stability  functions of bounded boundary and bounded radius rotations  subordination  functions with positive real part  uniformly starlike and convex functions  analytic functions  univalent functions  starlike and qstarlike functions  qderivative (or qdifference) operator  sufficient conditions  distortion theorems  Janowski functions  analytic number theory  ?generalized Hurwitz–Lerch zeta functions  derivative properties  recurrence relations  integral representations  Mellin transform  natural transform  Adomian decomposition method  Caputo fractional derivative  generalized mittagleffler function  analytic functions  Hadamard product  starlike functions  qderivative (or qdifference) operator  Hankel determinant  qstarlike functions  fuzzy volterra integrodifferential equations  fuzzy general linear method  fuzzy differential equations  generalized Hukuhara differentiability  spectrum symmetry  DCT  MFCC  audio features  anuran calls  analytic functions  convex functions  starlike functions  strongly convex functions  strongly starlike functions  uniformly convex functions  Struve functions  truncatedexponential polynomials  monomiality principle  generating functions  Apostoltype polynomials and Apostoltype numbers  Bernoulli, Euler and Genocchi polynomials  Bernoulli, Euler, and Genocchi numbers  operational methods  summation formulas  symmetric identities  Euler numbers and polynomials  qEuler numbers and polynomials  HurwitzEuler eta function  multiple HurwitzEuler eta function  higher order qEuler numbers and polynomials  (p, q)Euler numbers and polynomials of higher order  symmetric identities  symmetry of the zero
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In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: selfexcited attractors and hidden attractors. The localization of selfexcited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with nonhyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phaselocked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with selfexcited attractors and hidden attractors.
new chaotic system  multiple attractors  electronic circuit realization  SBox algorithm  chaotic systems  circuit design  parameter estimation  optimization methods  Gaussian mixture model  chaotic system  empirical mode decomposition  permutation entropy  image encryption  hidden attractors  fixed point  stability  nonlinear transport equation  stochastic (strong) entropy solution  uniqueness  existence  multiscale multivariate entropy  multistability  selfreproducing system  chaos  hidden attractor  selfexcited attractor  fractional order  spectral entropy  coexistence  multistability  chaotic flow  hidden attractor  multistable  entropy  core entropy  Thurston’s algorithm  Hubbard tree  external rays  chaos  Lyapunov exponents  multiplevalued  static memory  strange attractors  fractional discrete chaos  entropy  projective synchronization  full state hybrid projective synchronization  generalized synchronization  inverse full state hybrid projective synchronization  inverse generalized synchronization  multichannel supply chain  service game  chaos  entropy  BOPS  Hopf bifurcation  selfexcited attractors  multistability  sample entropy  PRNG  Nonequilibrium fourdimensional chaotic system  entropy measure  adaptive approximatorbased control  neural network  uncertain dynamics  synchronization  fractionalorder  complexvariable chaotic system  unknown complex parameters  chaotic map  fixed point  chaos  approximate entropy  implementation  hidden attractor  hyperchaotic system  multistability  entropy analysis  hidden attractor  complex systems  fractionalorder  entropy  chaotic maps  chaos  spatial dynamics  Bogdanov Map  chaos  laser  resonator
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