In this section, we give some basic definitions and properties of fractional calculus which are defined as follow [4].
The methods of fractional calculus, when defined as a Laplace, Sumudu, or Fourier convolution product, are suitable for solving many problems in emerging biomedical research.
This research estimated a model of how a student's behavior, both in and out of the classroom, affects his/her success in calculus whereby success was defined as a multi-faceted construct comprised of Enjoyment, Confidence, Mindset, and Achievement.
Completion of an advanced math class was defined as having taken and passed either calculus or pre-calculus.
The difference between Frege's understanding of predication and the one manifested by the modern predicate calculus is simply this: in the modern predicate calculus, relations are taken as basic, and functions are defined as a special case of relation, namely, those relations R such that for any objects x, y, and z, if Rxy and Rxz, then y=z.
In view of the above reduction formula as given in Eq. (1.7), the general fractional calculus operators reduce to the Saigo operators [37] defined as follows.
After him, the jurist Jeremy Bentham, eliminating sympathy, reduced ethics to the pure calculus of the useful, which in an entirely Epicurean formula he defined as a "moral arithmetic".
The basic axioms for the situation calculus, as defined in [22] and [23] are as follows: The second-order induction axiom: ( ∀ P ).
Vibrating systems having system parameters, initial conditions or forcing functions defined as intervals rather than single-valued quantities have been modelled using interval calculus.
The use of chemical weapons in the Syrian conflict was defined as a "red line" by President Obama a year ago, when he said that if the Assad regime deployed chemical weapons, "the whole calculus would change".
They are defined as refugees.
