On q–Analogues of Caputo Derivative and Mittag–Leffler Function

作者: Predrag Rajkovic , Sladjana Marinkovic , Miomir Stankovic

DOI:

关键词:

摘要:

参考文章(8)
Gaspard Bangerezako, Variational calculus on q-nonuniform lattices Journal of Mathematical Analysis and Applications. ,vol. 306, pp. 161- 179 ,(2005) , 10.1016/J.JMAA.2004.12.029
Virginia S. Kiryakova, Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus Journal of Computational and Applied Mathematics. ,vol. 118, pp. 241- 259 ,(2000) , 10.1016/S0377-0427(00)00292-2
H. Gauchman, Integral inequalities in q-calculus Computers & Mathematics With Applications. ,vol. 47, pp. 281- 300 ,(2004) , 10.1016/S0898-1221(04)90025-9
Waleed A. Al-Salam, $q$-analogues of Cauchy’s formulas Proceedings of the American Mathematical Society. ,vol. 17, pp. 616- 621 ,(1966) , 10.1090/S0002-9939-1966-0197637-4
R. P. Agarwal, Certain fractional q-integrals and q-derivatives Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 66, pp. 365- 370 ,(1969) , 10.1017/S0305004100045060
Waleed A. Al-Salam, Some Fractional q -Integrals and q -Derivatives Proceedings of the Edinburgh Mathematical Society. ,vol. 15, pp. 135- 140 ,(1966) , 10.1017/S0013091500011469
Waleed A. Al-Salam, A. Verma, A FRACTIONAL LEIBNIZ q-FORMULA Pacific Journal of Mathematics. ,vol. 60, pp. 1- 9 ,(1975)