Asymptotics of fundamental solutions for time fractional equations with convolution kernels

DOI10.1515/FCA-2020-0059zbMath1474.60175arXiv1907.08677OpenAlexW3090749949MaRDI QIDQ2209200

Andrey L. Piatnitski, Elena A. Zhizhina, Yuri G. Kondratiev

Publication date: 28 October 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.08677

zbMATH Keywords

fundamental solutionconvolution type operatortime fractional derivativelarge time asumptotics

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
• Time fractional equations and probabilistic representation
• Heat kernel estimates for time fractional equations
• Stochastic model for ultraslow diffusion
• Convolution-type derivatives, hitting-times of subordinators and time-changed \(C_0\)-semigroups
• Pointwise estimates for heat kernels of convolution-type operators
• Limit theorems for continuous-time random walks with infinite mean waiting times
• Chance and Stability
• Inverse Stable Subordinators

This page was built for publication: Asymptotics of fundamental solutions for time fractional equations with convolution kernels