In this paper, a deep learning optimization algorithm is proposed, which based on the Grünwald–Letnikov (G-L) fractional order definition. An optimizer calculus gradient descent G-L definition (FCGD_G-L) designed. Using short-memory effect of definition, derivation only needs 10 time steps. At same time, via transforming formula Gamma function eliminated. Thereby, it can achieve unification and...

Povzetek. V članku predstavljava razširjenost obremenjujočih in pozitivnih izkušenj v otroštvu (OIO PIO) na panelnem (pod)vzorcu 18- do 30-letnikov/-ic Sloveniji ter njihovo povezanost s samoocenjenim šolskim uspehom. Skoraj petina 30-letnikov iz prve slovenske OIO-raziskave je poročala o podpovprečnem šolskem uspehu 18. leta starosti. Skladno predhodnimi študijami so takem pogosteje poročali t...

Abstract In the continuous-time random walk model, time-fractional operator usually expresses an infinite waiting time probability density. Different from that usual setting, this work considers tempered operator, which reflects a finite Firstly, we analyse solution of benchmark problem, shows weak singularity near initial time. The L1 scheme on graded mesh and weighted shifted Grünwald–Letniko...

In this survey paper, we analyze the development of Fractional Calculus in Russia at end XIX century, particular, results by A. V. Letnikov, N. Ya. Sonine, and P. Nekrasov. Some discussed are either unknown or inaccessible.