dc.contributor.author | Restrepo, JE | |
dc.contributor.author | Ruzhansky, M | |
dc.contributor.author | Suragan, D | |
dc.date.accessioned | 2021-06-16T10:46:08Z | |
dc.date.available | 2021-03-07 | |
dc.date.available | 2021-06-16T10:46:08Z | |
dc.date.issued | 2021-03-15 | |
dc.identifier.citation | Restrepo, Joel E. et al. "Explicit Solutions For Linear Variable–Coefficient Fractional Differential Equations With Respect To Functions". Applied Mathematics And Computation, vol 403, 2021, p. 126177. Elsevier BV, doi:10.1016/j.amc.2021.126177. Accessed 16 June 2021. | en_US |
dc.identifier.issn | 0096-3003 | |
dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/72573 | |
dc.description | 30 pages, the title is changed, typos are corrected, to appear in Appl. Math. Comput | en_US |
dc.description.abstract | Explicit solutions of differential equations of complex fractional orders with respect to functions and with continuous variable coefficients are established. The representations of solutions are given in terms of some convergent infinite series of fractional integro-differential operators, which can be widely and efficiently used for analytic and computational purposes. In the case of constant coefficients, the solution can be expressed in terms of the multivariate Mittag-Leffler functions. In particular, the obtained result extends the Luchko-Gorenflo representation formula [1, Theorem 4.1] to a general class of linear fractional differential equations with variable coefficients, to complex fractional derivatives, and to fractional derivatives with respect to a given function. | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.ispartof | Applied Mathematics and Computation | |
dc.rights | https://doi.org/10.1016/j.amc.2021.126177 | |
dc.title | Explicit solutions for linear variable–coefficient fractional differential equations with respect to functions | en_US |
dc.type | Article | en_US |
dc.rights.holder | © 2021 Elsevier Inc. All rights reserved. | |
dc.identifier.doi | 10.1016/j.amc.2021.126177 | |
pubs.notes | Not known | en_US |
pubs.publication-status | Accepted | en_US |
pubs.volume | 403 | en_US |
dcterms.dateAccepted | 2021-03-07 | |
rioxxterms.funder | Default funder | en_US |
rioxxterms.identifier.project | Default project | en_US |
qmul.funder | Regularity in affiliated algebras and applications to partial differential equations::Engineering and Physical Sciences Research Council | en_US |