关于实数阶微积分的若干注记

In the paper, the extensive Cauchy formula was used to define the operation of any Real number order calculus. Calculation formulae for real number order derivative and integral of logarithmic functions and power functions have been obtained which are the important references to calculate real number order calculus of any other functions. In particular, the concept of the real number order calculus and indefinite calculus of zero was studied and discussed; the commutation rule of any real number order calculus was derived, and properties concerning calculus of Fourier transform and Laplace transform have been extended. Besides, In addition indicate that has pointed out the three major physics application of real number order calculus.