Exponentials and Laplace transforms on nonuniform time scales

DOI10.1016/j.cnsns.2016.03.010OpenAlexW2296948128WikidataQ57650555 ScholiaQ57650555MaRDI QIDQ2200226

Delfim F. M. Torres, Manuel D. Ortigueira, Juan J. Trujillo

Publication date: 19 September 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04410

zbMATH Keywords

fractional derivativesexponentialssystems theorytime-scale calculusgeneralised Laplace and \(Z\) transforms

Mathematics Subject Classification ID

Difference and functional equations (39-XX) Systems theory; control (93-XX)

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Cites Work

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• On the particular solution of constant coefficient fractional differential equations
• A study of diamond-alpha dynamic equations on regular time scales
• Bilateral Laplace transforms on time scales: convergence, convolution, and the characterization of stationary stochastic time series
• The Laplace transform on isolated time scales
• Fractional calculus for scientists and engineers.
• The \((q,h)\)-Laplace transform on discrete time scales
• New definitions of exponential, hyperbolic and trigonometric functions on time scales
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• The \(h\)-Laplace and \(q\)-Laplace transforms
• The Laplace transform on time scales revisited
• Irregular sampling theorems and series expansions of band-limited functions
• A discrete theory of irregular sampling
• Laplace transform and \(Z\)-transform: Unification and extension
• A \(k\)-dimensional system of fractional finite difference equations
• Convergence of unilateral Laplace transforms on time scales
• A generalized Fourier transform and convolution on time scales
• The convolution on time scales
• Inequalities on Time Scales: A Survey
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• On uniqueness of the Laplace transform on time scales
• Properties of the Laplace transform on time scales with arbitrary graininess
• The comb signal and its Fourier transform.
• Discrete chaos in fractional sine and standard maps