A type of general fractional calculus with respect to another function is introduced in this paper. The kernel function within the fractional derivative and integral is specified as the Exponential ...

Returning to Rathmines library, I took out a dense book on calculus, certain my off-piste exploration would instil exponential mastery in a more magical way.

Our analysis represents the first application of fractional calculus and double-exponential modelling to respiratory mechanics, and allows us to propose a hybrid model fitting experimental data in ...

Treatments of applications of the exponential function in Calculus textbooks are often cursory in that they treat unchecked (Malthusian) exponential growth processes without examination of their ...

About In this module you will use derivatives and integrals to solve more complicated Calculus problems and see how to find Taylor Series, polynomials that approximate complicated trigonometric and ...

A standard part of the calculus curriculum is learning exponential growth models. This paper, designed to serve as a teaching aid, extends the standard modeling by showing that simple exponential ...

More precisely, the new bounds are in the form of the sum of exponential functions that, in the limit, approach the exact value. Then, a quite accurate and simple approximate expression given by the ...

The Myth of Exponential Growth It's simple, really. For much of my professional life, I've taught introductory calculus to college students, and in Calc I, we learn a basic principle that apparently ...