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## Generated if empty string is given at "Please type another file name for output:"
.idea/
## Bibliography auxiliary files (bibtex/biblatex/biber):
*.bbl
*.bcf
*.blg
*-blx.aux
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\begin{thebibliography}{AMT11}

\bibitem[AM02]{ahlbrandt2002partial}
Calvin~D Ahlbrandt and Christina Morian.
\newblock Partial differential equations on time scales.
\newblock {\em Journal of Computational and Applied Mathematics},
141(1-2):35--55, 2002.
\newblock \url {https://doi.org/10.1016/S0377-0427(01)00434-4}.

\bibitem[AMT11]{aldwoah2011power}
Khaled~A Aldwoah, Agnieszka~B Malinowska, and Delfim~FM Torres.
\newblock The power quantum calculus and variational problems.
\newblock {\em arXiv preprint arXiv:1107.0344}, 2011.
\newblock \url {https://arxiv.org/abs/1107.0344}.

\bibitem[BG04]{bohner2004partial}
Martin Bohner and Gusein~Sh Guseinov.
\newblock Partial differentiation on time scales.
\newblock {\em Dynamic systems and applications}, 13(3-4):351--379, 2004.
\newblock \url {http://web.mst.edu/~bohner/papers/pdots.pdf}.

\bibitem[BHT16]{benkhettou2016conformable}
Nadia Benkhettou, Salima Hassani, and Delfim~FM Torres.
\newblock A conformable fractional calculus on arbitrary time scales.
\newblock {\em Journal of King Saud University-Science}, 28(1):93--98, 2016.

\bibitem[BHT17]{bayour2017truly}
Benaoumeur Bayour, Ahmed Hammoudi, and Delfim~FM Torres.
\newblock A truly conformable calculus on time scales.
\newblock {\em arXiv preprint arXiv:1705.08928}, 2017.
\newblock \url {https://arxiv.org/abs/1705.08928}.

\bibitem[BP01]{Bohner2001DynamicEO}
Martin Bohner and Allan Peterson.
\newblock {\em {Dynamic equations on time scales: An introduction with
applications}}.
\newblock Springer Science \& Business Media, 2001.
\newblock \url {https://web.mst.edu/~bohner/sample.pdf}.

\bibitem[Cap09]{caputo2009time}
M~Cristina Caputo.
\newblock Time scales: from nabla calculus to delta calculus and vice versa via
duality.
\newblock {\em arXiv preprint arXiv:0910.0085}, 2009.

\bibitem[Ern00]{ernst2000history}
Thomas Ernst.
\newblock {\em The history of q-calculus and a new method}.
\newblock Citeseer, 2000.

\bibitem[Ern08]{ernst2008different}
Thomas Ernst.
\newblock The different tongues of q-calculus.
\newblock {\em Proceedings of the Estonian Academy of Sciences}, 57(2), 2008.

\bibitem[Hil88]{hilger1988ein}
S~Hilger.
\newblock {\em {E {\i} n Ma {\ss} kettenkalk {\"u} l m {\i} t Anwendung auf
Zentrumsmann {\i} gfalt {\i} gke {\i} ten}}.
\newblock PhD thesis, Ph. D. Thesis, Universt {\"a} t W {\"u} rzburg, 1988.

\bibitem[Jac09]{jackson_1909}
Frederick~H Jackson.
\newblock Xi.—on q-functions and a certain difference operator.
\newblock {\em Earth and Environmental Science Transactions of the Royal
Society of Edinburgh}, 46(2):253--281, 1909.

\bibitem[Jac06]{JACKSON2006391}
B.~Jackson.
\newblock Partial dynamic equations on time scales.
\newblock {\em Journal of Computational and Applied Mathematics}, 186(2):391 --
415, 2006.
\newblock \url {https://doi.org/10.1016/j.cam.2005.02.011}.

\bibitem[KC01]{kac2001quantum}
Victor Kac and Pokman Cheung.
\newblock {\em Quantum calculus}.
\newblock Springer Science \& Business Media, 2001.

\bibitem[Kol16]{kolosov2016link}
Petro Kolosov.
\newblock {On the link between Binomial Theorem and Discrete Convolution of
Polynomials}.
\newblock {\em arXiv preprint arXiv:1603.02468}, 2016.
\newblock \url {https://arxiv.org/abs/1603.02468}.

\bibitem[Kol20]{kolosov2022mathematica}
Petro Kolosov.
\newblock {Supplementary Mathematica Programs}.
\newblock 2020.
\newblock \url
{https://github.com/kolosovpetro/AStudyOnDynamicEquations/tree/develop/mathematica}.

\bibitem[MT09]{martins2009calculus}
Nat {\'a}~lia Martins and Delfim~FM Torres.
\newblock Calculus of variations on time scales with nabla derivatives.
\newblock {\em Nonlinear Analysis: Theory, Methods \& Applications},
71(12):e763--e773, 2009.

\bibitem[Wei]{WeissteinBernoulli}
Eric~W Weisstein.
\newblock {"Bernoulli Number." From MathWorld -- A Wolfram Web Resource.}
\newblock \url {http://mathworld.wolfram.com/BernoulliNumber.html}.

\end{thebibliography}

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