Matches in SemOpenAlex for { <https://semopenalex.org/work/W2016258462> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2016258462 endingPage "924" @default.
- W2016258462 startingPage "911" @default.
- W2016258462 abstract "We modify the expansion formula introduced in [T.M. Atanacković, B. Stanković, An expansion formula for fractional derivatives and its applications, Fract. Calc. Appl. Anal. 7 (3) (2004) 365–378] for the left Riemann–Liouville fractional derivative in order to apply it to various problems involving fractional derivatives. As a result we obtain a new form of the fractional integration by parts formula, with the benefit of a useful approximation for the right Riemann–Liouville fractional derivative, and derive a consequence of the fractional integral inequality ∫0Ty⋅0Dtαydt≥0. Further, we use this expansion formula to transform fractional optimization (minimization of a functional involving fractional derivatives) to the standard constrained optimization problem. It is shown that when the number of terms in the approximation tends to infinity, solutions to the Euler–Lagrange equations of the transformed problem converge, in a weak sense, to solutions of the original fractional Euler–Lagrange equations. An illustrative example is treated numerically." @default.
- W2016258462 created "2016-06-24" @default.
- W2016258462 creator A5004416263 @default.
- W2016258462 creator A5061816879 @default.
- W2016258462 creator A5063961982 @default.
- W2016258462 creator A5076641651 @default.
- W2016258462 creator A5086129887 @default.
- W2016258462 date "2014-01-01" @default.
- W2016258462 modified "2023-10-18" @default.
- W2016258462 title "Expansion formula for fractional derivatives in variational problems" @default.
- W2016258462 cites W1965504976 @default.
- W2016258462 cites W1982267083 @default.
- W2016258462 cites W2003360288 @default.
- W2016258462 cites W2007708473 @default.
- W2016258462 cites W2019740517 @default.
- W2016258462 cites W2020835234 @default.
- W2016258462 cites W2022940488 @default.
- W2016258462 cites W2027621784 @default.
- W2016258462 cites W2028142935 @default.
- W2016258462 cites W2032451051 @default.
- W2016258462 cites W2041139041 @default.
- W2016258462 cites W2054547706 @default.
- W2016258462 cites W2058057362 @default.
- W2016258462 cites W2066533951 @default.
- W2016258462 cites W2070438803 @default.
- W2016258462 cites W2084795903 @default.
- W2016258462 cites W2111739564 @default.
- W2016258462 cites W2123285831 @default.
- W2016258462 cites W3125532603 @default.
- W2016258462 doi "https://doi.org/10.1016/j.jmaa.2013.07.071" @default.
- W2016258462 hasPublicationYear "2014" @default.
- W2016258462 type Work @default.
- W2016258462 sameAs 2016258462 @default.
- W2016258462 citedByCount "17" @default.
- W2016258462 countsByYear W20162584622014 @default.
- W2016258462 countsByYear W20162584622015 @default.
- W2016258462 countsByYear W20162584622016 @default.
- W2016258462 countsByYear W20162584622017 @default.
- W2016258462 countsByYear W20162584622018 @default.
- W2016258462 countsByYear W20162584622019 @default.
- W2016258462 countsByYear W20162584622020 @default.
- W2016258462 countsByYear W20162584622022 @default.
- W2016258462 crossrefType "journal-article" @default.
- W2016258462 hasAuthorship W2016258462A5004416263 @default.
- W2016258462 hasAuthorship W2016258462A5061816879 @default.
- W2016258462 hasAuthorship W2016258462A5063961982 @default.
- W2016258462 hasAuthorship W2016258462A5076641651 @default.
- W2016258462 hasAuthorship W2016258462A5086129887 @default.
- W2016258462 hasBestOaLocation W20162584621 @default.
- W2016258462 hasConcept C106159729 @default.
- W2016258462 hasConcept C111771559 @default.
- W2016258462 hasConcept C134306372 @default.
- W2016258462 hasConcept C154249771 @default.
- W2016258462 hasConcept C162324750 @default.
- W2016258462 hasConcept C28826006 @default.
- W2016258462 hasConcept C33923547 @default.
- W2016258462 hasConcept C7321624 @default.
- W2016258462 hasConceptScore W2016258462C106159729 @default.
- W2016258462 hasConceptScore W2016258462C111771559 @default.
- W2016258462 hasConceptScore W2016258462C134306372 @default.
- W2016258462 hasConceptScore W2016258462C154249771 @default.
- W2016258462 hasConceptScore W2016258462C162324750 @default.
- W2016258462 hasConceptScore W2016258462C28826006 @default.
- W2016258462 hasConceptScore W2016258462C33923547 @default.
- W2016258462 hasConceptScore W2016258462C7321624 @default.
- W2016258462 hasIssue "2" @default.
- W2016258462 hasLocation W20162584621 @default.
- W2016258462 hasOpenAccess W2016258462 @default.
- W2016258462 hasPrimaryLocation W20162584621 @default.
- W2016258462 hasRelatedWork W1593514994 @default.
- W2016258462 hasRelatedWork W2013044915 @default.
- W2016258462 hasRelatedWork W2096263602 @default.
- W2016258462 hasRelatedWork W2138935277 @default.
- W2016258462 hasRelatedWork W2972178605 @default.
- W2016258462 hasRelatedWork W3023434962 @default.
- W2016258462 hasRelatedWork W4283526999 @default.
- W2016258462 hasRelatedWork W4284964897 @default.
- W2016258462 hasRelatedWork W4293788875 @default.
- W2016258462 hasRelatedWork W4298281309 @default.
- W2016258462 hasVolume "409" @default.
- W2016258462 isParatext "false" @default.
- W2016258462 isRetracted "false" @default.
- W2016258462 magId "2016258462" @default.
- W2016258462 workType "article" @default.