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Almost Periodic Time Scales and Almost Periodic Functions on Time Scales [PDF]

open access: yesJournal of Applied Mathematics, 2015
We propose some new concepts of almost periodic time scales and almost periodic functions on time scales and give some basic properties of these new types of almost periodic time scales and almost periodic functions on time scales.
Yongkun Li, Bing Li
doaj   +3 more sources

Sobolev’s embedding on time scales [PDF]

open access: yesJournal of Inequalities and Applications, 2018
For 1 ...
Naveed Ahmad   +3 more
doaj   +4 more sources

Long-Time Data Storage: Relevant Time Scales [PDF]

open access: yesChallenges, 2011
Dynamic processes relevant for long-time storage of information about human kind are discussed, ranging from biological and geological processes to the lifecycle of stars and the expansion of the universe.
Miko C. Elwenspoek
doaj   +4 more sources

Right Fractional Sobolev Space via Riemann–Liouville Derivatives on Time Scales and an Application to Fractional Boundary Value Problem on Time Scales

open access: yesFractal and Fractional, 2022
Using the concept of fractional derivatives of Riemann–Liouville on time scales, we first introduce right fractional Sobolev spaces and characterize them.
Xing Hu, Yongkun Li
doaj   +1 more source

Hermite-Hadamard Inequality on Time Scales

open access: yesJournal of Inequalities and Applications, 2008
We discuss some variants of the Hermite-Hadamard inequality for convex functions on time scales. Some improvements and applications are also included.
Dinu Cristian
doaj   +2 more sources

Unilateral Laplace Transforms on Time Scales

open access: yesMathematics, 2022
We review the direct and inverse Laplace transforms on non-uniform time scales. We introduce full backward-compatible unilateral Laplace transforms and studied their properties. We also present the corresponding inverse integrals and some examples.
Müfit Şan, Manuel D. Ortigueira
doaj   +1 more source

The heat equation on time scales [PDF]

open access: yesOpuscula Mathematica, 2023
We present the use of a Fourier transform on time scales to solve a dynamic heat IVP. This is done by inverting a certain exponential function via contour integral. We include some specific examples and directions for further study.
Tom Cuchta, Rui A.C. Ferreira
doaj   +1 more source

Periodicity, almost periodicity for time scales and related functions

open access: yesNonautonomous Dynamical Systems, 2016
In this paper, we study almost periodic and changing-periodic time scales considered byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made.
Wang Chao   +2 more
doaj   +1 more source

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