Browsing by Subject "Fractional calculus"
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Fractional Differential Equations
(2017)Fractional calculus, the branch of mathematics dealing with derivatives and integrals of noninteger order, began as a mere mathematical curiosity during the time of Leibniz but through the years has developed into a ... 
Fractional Euler numbers and generalized proportional fractional logistic differential equation
(Springer, 2022)We solve a logistic differential equation for generalized proportional Caputo fractional derivative. The solution is found as a fractional power series. The coefficients of that power series are related to the Euler ... 
Is It Possible to Construct a Fractional Derivative Such That the Index Law Holds?
(Natural Sciences Publishing Corp., 20180101)The aim of this note is to make a brief consideration about the Index Law in fractional differentiation. We are not interested in any particular definition of fractional derivative, and that is why we will not introduce ... 
Solution of a fractional logistic ordinary differential equation
(Elsevier, 2022)We solve the logistic differential equation of fractional order and nonsingular kernel. The analytical solution is obtained