Certain special cases of the main theorems have also been discussed.doi:10.5556/j.tkjm.32.2001.351V.B.L. ChaurasiaAnju GodikaTamkang UniversityTamkang Journal of MathematicsV. B. L. Chaurasia and A. Godika, Fractional derivatives of certain special functions, Tamkang J. Math., 32 (2) (...
Q6 We know that is geometrically interpreted as the slope of the curve and gives us the concavity of the curve. But the third and higher derivatives give us little or no geometric information. Since these are special cases of we are not surprised that there is no easy geometric meaning for...
Special Functions in Fractional Calculus and Related Fractional Differintegral EquationsThe subject of fractional calculus (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past four decades, due mainly to ...
Fractional derivativesExtended Special functionsRecently an extended operator of fractional derivative related to a generalized beta function has been used in order to obtain some generating relations involving extended hypergeometric functions [19]. In this paper, an extended fractional derivative operator ...
S aigo and Maeda (Transform Methods and Special Functions, Varna, Bulgaria, pp. 386-400, 1996) introduced and investigated certain generalized fractional integral and derivative operators involving the Appell function F 3 . Here we aim at presenting four unified fractional integral and derivative form...
Riemann-Liouville Fractional Derivatives and the Taylor-Riemann Series 来自 ResearchGate 喜欢 0 阅读量: 102 作者: J Munkhammar 摘要: In this paper,we give some background theory on the concept of fractional calculus, in particular the Riemann-Liouville operators. We then investigate the Taylor...
Atangana, A., Secer, A.: A note on fractional order derivatives and table of fractional derivatives of some special functions. In Abstract and Appl. Anal.13, 1–8 (2013) MATHGoogle Scholar Basar, T., Olsder, G.J.: Dynamic Noncooperative Game Theory. Classics in Applied Mathematics. SIAM...
Integral Transforms and Special FunctionsH. Srivastava, S. Yakubovich, and Y.F. Luchko, The convolution method for the development of new Leibniz rules involving fractional derivatives and of their integral analogues, Integral Transform Spec. Funct. 1 (1993), pp. 119-134....
The GFC developed in [13] is based on the essential use of the Special Functions (SF). The generalized (multiple) fractional integrals and derivatives are defined by single (differ-)integrals with Meijer's G-and Fox H-functions as their kernels, but represent also products of classical ...
E. Second-order approximations for variable order fractional derivatives: Algorithms and applications. J. Comput. Phys. 293, 184–200. https://doi.org/10.1016/j.jcp.2014.08.015 (2015). Article ADS MathSciNet Google Scholar Diaz, G. & Coimbra, C. F. M. Dynamics and control of ...