[KNIHA][B] Fractional calculus: models and numerical methods

D Baleanu, K Diethelm, E Scalas, JJ Trujillo - 2012 - books.google.com
The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

Hukuhara differentiability of interval-valued functions and interval differential equations on time scales

V Lupulescu - Information Sciences, 2013 - Elsevier
Hukuhara differentiability of interval-valued functions and interval differential equations on
time scales - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Multiple integration on time scales

M Bohner, SG Georgiev, M Bohner… - … Dynamic Calculus on …, 2016 - Springer
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Integral equations on time scales

SG Georgiev - 2016 - Springer
Many problems arising in applied mathematics or mathematical physics, can be formulated
in two ways namely as differential equations and as integral equations. In the differential …

The convolution on time scales

M Bohner, GS Guseinov - Abstract and Applied Analysis, 2007 - Wiley Online Library
The main theme in this paper is an initial value problem containing a dynamic version of the
transport equation. Via this problem, the delay (or shift) of a function defined on a time scale …

[HTML][HTML] Double integral calculus of variations on time scales

M Bohner, GS Guseinov - Computers & Mathematics with Applications, 2007 - Elsevier
We consider a version of the double integral calculus of variations on time scales, which
includes as special cases the classical two-variable calculus of variations and the discrete …

Hamilton–Jacobi–Bellman equations and approximate dynamic programming on time scales

J Seiffertt, S Sanyal, DC Wunsch - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
The time scales calculus is a key emerging area of mathematics due to its potential use in a
wide variety of multidisciplinary applications. We extend this calculus to approximate …

[PDF][PDF] Multiple Lebesgue integration on time scales

M Bohner, GS Guseinov - Advances in Difference Equations, 2006 - Springer
MULTIPLE LEBESGUE INTEGRATION ON TIME SCALES Page 1 MULTIPLE LEBESGUE
INTEGRATION ON TIME SCALES MARTIN BOHNER AND GUSEIN SH. GUSEINOV Received …

Noether theorem for Birkhoffian systems on time scales

CJ Song, Y Zhang - Journal of Mathematical Physics, 2015 - pubs.aip.org
Birkhoff equations on time scales and Noether theorem for Birkhoffian system on time scales
are studied. First, some necessary knowledge of calculus on time scales are reviewed …

Lagrangian multiform structure of discrete and semi-discrete KP systems

FW Nijhoff - Open Communications in Nonlinear …, 2024 - ocnmp.episciences.org
A variational structure for the potential AKP system is established using the novel formalism
of a Lagrangian multiforms. The structure comprises not only the fully discrete equation on …