-
Notifications
You must be signed in to change notification settings - Fork 0
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Merge pull request #5 from kolosovpetro/develop
bbl file excluded from the gitignore
- Loading branch information
Showing
2 changed files
with
105 additions
and
1 deletion.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,105 @@ | ||
\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} |