General Fractional Calculus: Multi-Kernel Approach

For the first time, a general fractional calculus of arbitrary order was proposed by Yuri Luchko in 2021. In works, approaches to formulate this are based either on power one Sonin kernel or convolution with kernels integer-order integrals. To apply calculus, it is useful have wider range operators, for example, using Laplace different types kernels. paper, an extended formulation proposed. Extension achieved (subsets) pairs operator definitions integrals and derivatives. this, definition pair somewhat broadened, which leads symmetry pair. The set subsets pairs. fundamental theorems derivatives proved.