Pointwise regularity for fractional equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.08.027
Abstract: Abstract In this paper, we systematically study the pointwise regularity for distribution solutions of fractional equations. We obtain a series of interior pointwise C k + [ 2 s + α ] , 2 s… read more here.
Keywords: fractional equations; regularity; pointwise regularity; equations pointwise ... See more keywords
Tempered fractional Poisson processes and fractional equations with Z-transform
Sign Up to like & getrecommendations! Published in 2018 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2020.1748056
Abstract: Abstract In this article, we derive the state probabilities of different type of space- and time-fractional Poisson processes using z-transform. We work on tempered versions of time-fractional Poisson process and space-fractional Poisson processes. We also… read more here.
Keywords: poisson processes; tempered fractional; fractional equations; poisson ... See more keywords
Blowing-up solutions for time-fractional equations on a bounded domain
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Mechanical Engineering"
DOI: 10.1177/16878132221130228
Abstract: This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff equations due to a bounded domain. Adequate conditions for the blowing-up of solutions in limited time of previously mentioned conditions… read more here.
Keywords: fractional equations; time; solutions time; time fractional ... See more keywords
Heat kernel estimates for time fractional equations
Sign Up to like & getrecommendations! Published in 2018 at "Forum Mathematicum"
DOI: 10.1515/forum-2017-0192
Abstract: In this paper, we establish existence and uniqueness of weak solutions to general time fractional equations and give their probabilistic representations. We then derive sharp two-sided estimates for fundamental solutions of a family of time… read more here.
Keywords: estimates time; fractional equations; kernel estimates; time fractional ... See more keywords