THE 1ST LEVEL GENERAL FRACTIONAL DERIVATIVES AND SOME OF THEIR PROPERTIES

Abstract In this paper, we first provide a short summary of the main properties so-called general fractional derivatives with Sonin kernels introduced so far. These are integro-differential operators defined as compositions order derivative and an integral operator convolution type. Depending on succession these operators, Riemann-Liouville Caputo types were studied. The objective paper is construction 1st level that comprise both type We also some their including 2nd fundamental theorems Fractional Calculus for suitably integrals.