1 |
R. Khalil, M. Al Horani, A. Yousef, and M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math. 264 (2014), 65-70. https://doi.org/10.1016/j.cam.2014.01.002
DOI
|
2 |
G. W. Leibniz, Letter from Hanover; Germany; to G.F.A L'Hospital, September 30; 1695; in Mathematische Schriften, 1849; reprinted 1962, 2 (1965), 301-302.
|
3 |
E. C. de Oliveira and J. A. Tenreiro Machado, A review of definitions for fractional derivatives and integral, Math. Probl. Eng. 2014 (2014), Art. ID 238459, 6 pp. https://doi.org/10.1155/2014/238459
DOI
|
4 |
I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering, 198, Academic Press, Inc., San Diego, CA, 1999.
|
5 |
J. Vanterler da C. Sousa and E. Capelas de Oliveira, A new truncated M-fractional derivative type unifying some fractional derivative types with classical properties, arXiv:1704.08187v4, 2017.
|
6 |
J. Vanterler da C. Sousa and E. Capelas de Oliveira, Mittag-Leffler functions and the truncated V-fractional derivative, Mediterr. J. Math. 14 (2017), no. 6, Paper No. 244, 26 pp. https://doi.org/10.1007/s00009-017-1046-z
DOI
|
7 |
G. A. Anastassiou, Intelligent Analysis: Fractional Inequalities and Approximations Expanded, Springer, Cham, 2020.
|
8 |
U. N. Katugampola, A new fractional derivative with classical properties, arXiv:1410.6535v2, 2014.
|
9 |
G. Mittag-Leffler, Sur la nouvelle fonction 𝔼α(x), Comptes Rendus de l'Academie des Sciences Paris 137 (1903), 554-558.
|
10 |
W. Rudin, Principles of Mathematical Analysis, third edition, McGraw-Hill Book Co., New York, 1976.
|
11 |
J. Vanterler da C. Sousa and E. Capelas de Oliveira, On the local M-derivative, Progress in Fractional Differentiation and Applications 4 (2018), no. 4, 479-492.
|
12 |
T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math. 279 (2015), 57-66. https://doi.org/10.1016/j.cam.2014.10.016
DOI
|
13 |
R. Gorenflo, A. A. Kilbas, F. Mainardi, and S. V. Rogosin, Mittag-Leffler functions, related topics and applications, Springer Monographs in Mathematics, Springer, Heidelberg, 2014. https://doi.org/10.1007/978-3-662-43930-2
DOI
|
14 |
O. S. Iyiola and E. R. Nwaeze, Some new results on the new conformable fractional calculus with application using D'Alambert approch, Progress in Fractional Differentiation and Applications 2 (2016), no. 2, 115-122.
DOI
|