In this article, the analysis is focused on the infinitesimal calculus application of the HC which is given in the generalized form.
Motivated by the fractional calculus' application background, there are a large number of papers dealing with the solvability of fractional differential equations (see [7 12]).
In the third and final stage, students pull together the best ideas from the first and second stages to write original calculus application problems (and a solution guide).
In the modern predicate calculus, functional application is analyzable in terms of predication, as we shall soon see.
Combined with the fractional calculus, the application of the above two kinds of special circumstances becomes more extensive and practical.
Study these topics for mathematics: Complex numbers, Circle, Parabola, Hyperbola in Co-ordinate Geometry, Probability, Limits, Vectors, Matrices in Algebra, Functions, differentiability, Definite Integral in calculus and Application of Derivatives.
There have been many works on the theory of fractional calculus and applications of it.
For the development of fractional calculus and applications, we refer the reader to [1 10] and the references therein.
It represents a generalization of the ordinary differentiation and integration to arbitrary order and fractional calculus has applications in various fields, e.g. physics, engineering or biology [2 4].
This calculus has applications in study of the heat flux, temperature and entropy generation, diffusion phenomena, modeling control systems, viscoelasticity, biology, etc.
A comprehensive treatment of fractional calculus and applications can be found in Miller and Ross [1], Oldham and Spanier [2], Podlubny [3] and Samko et al. [4].
