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This Special Issue collects the latest results on differential/difference equations, the mathematics of networks, and their applications to engineering and physical phenomena. It features nine high-quality papers that were published with original research results. The Special Issue brings together mathematicians with physicists, engineers, as well as other scientists.
History of engineering & technology --- fractional discrete calculus --- discrete chaos --- Tinkerbell map --- bifurcation --- stabilization --- communication networks --- maximum flow --- network policies --- algorithms --- gas flow --- stress-sensitive porous media --- multiple hydraulic fractures --- vertical fractured well --- Output-feedback --- centralized control --- decentralized control --- closed-loop stabilization --- Hardy Cross method --- pipe networks --- piping systems --- hydraulic networks --- gas distribution --- multi-switching combination synchronization --- time-delay --- fractional-order --- stability --- Shehu transformation --- Adomian decomposition --- analytical solution --- Caputo derivatives --- (2+time fractional-order) dimensional physical models --- homotopy perturbation method --- variational iteration method --- Laplace transform method --- acoustic wave equations --- n/a
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This Special Issue collects the latest results on differential/difference equations, the mathematics of networks, and their applications to engineering and physical phenomena. It features nine high-quality papers that were published with original research results. The Special Issue brings together mathematicians with physicists, engineers, as well as other scientists.
History of engineering & technology --- fractional discrete calculus --- discrete chaos --- Tinkerbell map --- bifurcation --- stabilization --- communication networks --- maximum flow --- network policies --- algorithms --- gas flow --- stress-sensitive porous media --- multiple hydraulic fractures --- vertical fractured well --- Output-feedback --- centralized control --- decentralized control --- closed-loop stabilization --- Hardy Cross method --- pipe networks --- piping systems --- hydraulic networks --- gas distribution --- multi-switching combination synchronization --- time-delay --- fractional-order --- stability --- Shehu transformation --- Adomian decomposition --- analytical solution --- Caputo derivatives --- (2+time fractional-order) dimensional physical models --- homotopy perturbation method --- variational iteration method --- Laplace transform method --- acoustic wave equations --- n/a
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This Special Issue collects the latest results on differential/difference equations, the mathematics of networks, and their applications to engineering and physical phenomena. It features nine high-quality papers that were published with original research results. The Special Issue brings together mathematicians with physicists, engineers, as well as other scientists.
fractional discrete calculus --- discrete chaos --- Tinkerbell map --- bifurcation --- stabilization --- communication networks --- maximum flow --- network policies --- algorithms --- gas flow --- stress-sensitive porous media --- multiple hydraulic fractures --- vertical fractured well --- Output-feedback --- centralized control --- decentralized control --- closed-loop stabilization --- Hardy Cross method --- pipe networks --- piping systems --- hydraulic networks --- gas distribution --- multi-switching combination synchronization --- time-delay --- fractional-order --- stability --- Shehu transformation --- Adomian decomposition --- analytical solution --- Caputo derivatives --- (2+time fractional-order) dimensional physical models --- homotopy perturbation method --- variational iteration method --- Laplace transform method --- acoustic wave equations --- n/a
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This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.
Economics, finance, business & management --- mathematical economics --- economic theory --- fractional calculus --- fractional dynamics --- long memory --- non-locality --- fractional generalization --- econometric modelling --- identification --- Phillips curve --- Mittag-Leffler function --- generalized fractional derivatives --- growth equation --- Mittag–Leffler function --- Caputo fractional derivative --- economic growth model --- least squares method --- fractional diffusion equation --- fundamental solution --- option pricing --- risk sensitivities --- portfolio hedging --- business cycle model --- stability --- time delay --- time-fractional-order --- Hopf bifurcation --- Einstein’s evolution equation --- Kolmogorov–Feller equation --- diffusion equation --- self-affine stochastic fields --- random market hypothesis --- efficient market hypothesis --- fractal market hypothesis --- financial time series analysis --- evolutionary computing --- modelling --- economic growth --- prediction --- Group of Twenty --- pseudo-phase space --- economy --- system modeling --- deep assessment --- least squares --- modeling --- GDP per capita --- LSTM --- econophysics --- continuous-time random walk (CTRW) --- Mittag–Leffler functions --- Laplace transform --- Fourier transform --- n/a --- Einstein's evolution equation --- Kolmogorov-Feller equation --- Mittag-Leffler functions
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This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.
mathematical economics --- economic theory --- fractional calculus --- fractional dynamics --- long memory --- non-locality --- fractional generalization --- econometric modelling --- identification --- Phillips curve --- Mittag-Leffler function --- generalized fractional derivatives --- growth equation --- Mittag–Leffler function --- Caputo fractional derivative --- economic growth model --- least squares method --- fractional diffusion equation --- fundamental solution --- option pricing --- risk sensitivities --- portfolio hedging --- business cycle model --- stability --- time delay --- time-fractional-order --- Hopf bifurcation --- Einstein’s evolution equation --- Kolmogorov–Feller equation --- diffusion equation --- self-affine stochastic fields --- random market hypothesis --- efficient market hypothesis --- fractal market hypothesis --- financial time series analysis --- evolutionary computing --- modelling --- economic growth --- prediction --- Group of Twenty --- pseudo-phase space --- economy --- system modeling --- deep assessment --- least squares --- modeling --- GDP per capita --- LSTM --- econophysics --- continuous-time random walk (CTRW) --- Mittag–Leffler functions --- Laplace transform --- Fourier transform --- n/a --- Einstein's evolution equation --- Kolmogorov-Feller equation --- Mittag-Leffler functions
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