Выходит 6 номеров в год
ISSN Печать: 0278-940X
ISSN Онлайн: 1943-619X
Indexed in
R-Function Relationships for Application in the Fractional Calculus
Краткое описание
The F-function, and its generalization the R-function, are of fundamental importance in the fractional calculus. It has been shown that the solution of the fundamental linear fractional differential equation may be expressed in terms of these functions. These functions serve as generalizations of the exponential function in the solution of fractional differential equations. Because of this central role in the fractional calculus, this paper explores various intrarelationships of the R-function, which will be useful in further analysis.
Relationships of the R-function to the common exponential function, et, and its fractional derivatives are shown. From the relationships developed, some important approximations are observed. Further, the inverse relationships of the exponential function, et, in terms of the R-function are developed. Also, some approximations for the R-function are developed.
-
Popović Jovan K., Pilipović Stevan, Atanacković Teodor M., Two compartmental fractional derivative model with fractional derivatives of different order, Communications in Nonlinear Science and Numerical Simulation, 18, 9, 2013. Crossref
-
Popović Jovan K., Spasić Dragan T., Tošić Jela, Kolarović Jovanka L., Malti Rachid, Mitić Igor M., Pilipović Stevan, Atanacković Teodor M., Fractional model for pharmacokinetics of high dose methotrexate in children with acute lymphoblastic leukaemia, Communications in Nonlinear Science and Numerical Simulation, 22, 1-3, 2015. Crossref
-
Radwan A. G., Salama K. N., Passive and Active Elements Using Fractional ${\rm L}_{\beta} {\rm C}_{\alpha}$ Circuit, IEEE Transactions on Circuits and Systems I: Regular Papers, 58, 10, 2011. Crossref
-
References, in The Fractional Trigonometry, 2016. Crossref