FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2928839578> ?p ?o ?g. }

• W2928839578 endingPage "1802" @default.
• W2928839578 startingPage "1778" @default.
• W2928839578 abstract "It was proved that the solution to a time-fractional partial differential equation lacks regularity at the initial time t=0, which is often inconsistent with the physical problem being modeled even though the nature of the physical problem away from t=0 is well captured by a time-fractional partial differential equation. We argue that the fundamental reason why this phenomenon occurs lies in the incompatibility between the nonlocality of the time-fractional partial differential equations and the locality of the classical initial condition at t=0. We show that the variable-order time-fractional partial differential equations, in which the order varies in time as t goes to 0 to accommodate the impact of the local initial condition at time t=0, turn out to be a natural candidate to eliminate the nonphysical singularity of the solutions to the (constant-order) time-fractional partial differential equations and open up opportunities for modeling multiphysics phenomena from nonlocal to local dynamics and vice versa. We prove the wellposedness of a variable-order linear time-fractional diffusion partial differential equation in multiple space dimensions. We also prove that the regularity of its solution depends on the behavior of the variable order (and its derivatives) at time t=0, in addition to the usual smoothness assumptions. More precisely, we prove that its solution has full regularity like its integer-order analogue if the variable order has an integer limit at t=0 or exhibits singular behaviors at t=0 like in the case of the constant-order time-fractional partial differential equations if the variable order has a non-integer value at time t=0." @default.
• W2928839578 created "2019-04-11" @default.
• W2928839578 creator A5004001300 @default.
• W2928839578 creator A5033020983 @default.
• W2928839578 date "2019-07-01" @default.
• W2928839578 modified "2023-10-10" @default.
• W2928839578 title "Wellposedness and regularity of the variable-order time-fractional diffusion equations" @default.
• W2928839578 cites W1495891378 @default.
• W2928839578 cites W1966513244 @default.
• W2928839578 cites W2009456713 @default.
• W2928839578 cites W2021735811 @default.
• W2928839578 cites W2041540906 @default.
• W2928839578 cites W2050128141 @default.
• W2928839578 cites W2065390423 @default.
• W2928839578 cites W2072998038 @default.
• W2928839578 cites W2092146111 @default.
• W2928839578 cites W2092440717 @default.
• W2928839578 cites W2103296601 @default.
• W2928839578 cites W2111271983 @default.
• W2928839578 cites W2137696066 @default.
• W2928839578 cites W2220122545 @default.
• W2928839578 cites W2234614486 @default.
• W2928839578 cites W2597870770 @default.
• W2928839578 cites W2608656286 @default.
• W2928839578 cites W2618430072 @default.
• W2928839578 cites W2740626026 @default.
• W2928839578 cites W2963907193 @default.
• W2928839578 cites W4229825750 @default.
• W2928839578 doi "https://doi.org/10.1016/j.jmaa.2019.03.052" @default.
• W2928839578 hasPublicationYear "2019" @default.
• W2928839578 type Work @default.
• W2928839578 sameAs 2928839578 @default.
• W2928839578 citedByCount "84" @default.
• W2928839578 countsByYear W29288395782019 @default.
• W2928839578 countsByYear W29288395782020 @default.
• W2928839578 countsByYear W29288395782021 @default.
• W2928839578 countsByYear W29288395782022 @default.
• W2928839578 countsByYear W29288395782023 @default.
• W2928839578 crossrefType "journal-article" @default.
• W2928839578 hasAuthorship W2928839578A5004001300 @default.
• W2928839578 hasAuthorship W2928839578A5033020983 @default.
• W2928839578 hasBestOaLocation W29288395781 @default.
• W2928839578 hasConcept C10138342 @default.
• W2928839578 hasConcept C102634674 @default.
• W2928839578 hasConcept C121040770 @default.
• W2928839578 hasConcept C121332964 @default.
• W2928839578 hasConcept C134306372 @default.
• W2928839578 hasConcept C138622882 @default.
• W2928839578 hasConcept C16171025 @default.
• W2928839578 hasConcept C162324750 @default.
• W2928839578 hasConcept C182306322 @default.
• W2928839578 hasConcept C182365436 @default.
• W2928839578 hasConcept C199360897 @default.
• W2928839578 hasConcept C2777027219 @default.
• W2928839578 hasConcept C33923547 @default.
• W2928839578 hasConcept C41008148 @default.
• W2928839578 hasConcept C62520636 @default.
• W2928839578 hasConcept C64057670 @default.
• W2928839578 hasConcept C78045399 @default.
• W2928839578 hasConcept C84114770 @default.
• W2928839578 hasConcept C93779851 @default.
• W2928839578 hasConcept C97137487 @default.
• W2928839578 hasConceptScore W2928839578C10138342 @default.
• W2928839578 hasConceptScore W2928839578C102634674 @default.
• W2928839578 hasConceptScore W2928839578C121040770 @default.
• W2928839578 hasConceptScore W2928839578C121332964 @default.
• W2928839578 hasConceptScore W2928839578C134306372 @default.
• W2928839578 hasConceptScore W2928839578C138622882 @default.
• W2928839578 hasConceptScore W2928839578C16171025 @default.
• W2928839578 hasConceptScore W2928839578C162324750 @default.
• W2928839578 hasConceptScore W2928839578C182306322 @default.
• W2928839578 hasConceptScore W2928839578C182365436 @default.
• W2928839578 hasConceptScore W2928839578C199360897 @default.
• W2928839578 hasConceptScore W2928839578C2777027219 @default.
• W2928839578 hasConceptScore W2928839578C33923547 @default.
• W2928839578 hasConceptScore W2928839578C41008148 @default.
• W2928839578 hasConceptScore W2928839578C62520636 @default.
• W2928839578 hasConceptScore W2928839578C64057670 @default.
• W2928839578 hasConceptScore W2928839578C78045399 @default.
• W2928839578 hasConceptScore W2928839578C84114770 @default.
• W2928839578 hasConceptScore W2928839578C93779851 @default.
• W2928839578 hasConceptScore W2928839578C97137487 @default.
• W2928839578 hasFunder F4320306076 @default.
• W2928839578 hasIssue "2" @default.
• W2928839578 hasLocation W29288395781 @default.
• W2928839578 hasOpenAccess W2928839578 @default.
• W2928839578 hasPrimaryLocation W29288395781 @default.
• W2928839578 hasRelatedWork W141673014 @default.
• W2928839578 hasRelatedWork W2018526867 @default.
• W2928839578 hasRelatedWork W2027809989 @default.
• W2928839578 hasRelatedWork W2082187324 @default.
• W2928839578 hasRelatedWork W2136731552 @default.
• W2928839578 hasRelatedWork W2317120713 @default.
• W2928839578 hasRelatedWork W3003316124 @default.
• W2928839578 hasRelatedWork W3039028727 @default.
• W2928839578 hasRelatedWork W3208936872 @default.
• W2928839578 hasRelatedWork W312503264 @default.
• W2928839578 hasVolume "475" @default.

• next