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    MDPI - Multidisciplinary Digital Publishing Institute
    Publication Date: 2023-04-05
    Description: This Special Issue of the journal Axioms collects submissions in which the authors report their perceptions and results in the field of mathematical physics and/or physical mathematics without any preconditions of the specific research topic. The papers are intended to provide the reader with a broad window into the status of the research field showing our understanding of how a known concept changes our thinking in that area of science. The papers in the Special Issue highlight the current two issues in physics and mathematics under hot debate: fractional calculus and entropy.
    Keywords: weak detonation ; high activation regime ; nonlinear PDEs ; Fuchsian reduction analysis ; Lorentz transformation ; blow-up ; hot spot ; chemically reactive flows ; nonlinear equations in partial derivatives ; hyperbolic equations ; Bäcklund transformations ; Clairin’s method ; differential relationships ; the Liouville equation ; symbolic calculus ; canonical system of q-difference equations ; q-Euler integral ; multi-term fractional differential equation ; quasilinear equation ; Riemann–Liouville fractional derivative ; defect of Cauchy type problem ; fixed point theorem ; initial-boundary value problem ; deformed numbers ; deformed algebras ; deformed calculus ; nonadditive entropy ; vibration control ; boundary control ; intermediate state control ; separation of variables ; Riemann–Liouville fractional differential equations ; nonlocal boundary conditions ; positive parameters ; positive solutions ; existence ; nonexistence ; Patlak–Keller–Segel systems ; the Cattaneo model of chemosensitive movement ; hyperbolic models ; shock waves ; conservation laws ; constrained Hamiltonian system ; canonicalization ; symplectic method ; numerical simulation ; extended Chebyshev functional ; generalized proportional Hadamard fractional integral operator ; manipulation system ; geometric approach ; noninteraction ; two-phase flow ; Sobolev spaces ; analytic semigroups ; fractional interpolation ; local and global solutions ; seismic tensorial force ; far-field seismic waves ; near-field seismic waves ; seismic mainshock ; quasi-static deformations ; mathematical physics ; Elliott Lieb ; the International Association of Mathematical Physics (IAMP, history and development) ; Letters in Mathematical Physics (LMP) ; history ; God as an (optional) axiom ; metamathematics ; symmetries ; particle physics ; n/a ; bic Book Industry Communication::G Reference, information & interdisciplinary subjects::GP Research & information: general ; bic Book Industry Communication::P Mathematics & science ; bic Book Industry Communication::P Mathematics & science::PB Mathematics::PBT Probability & statistics
    Language: English
    Format: application/octet-stream
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