Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Joel E. Restrepo"'
Publikováno v:
Alexandria Engineering Journal, Vol 61, Iss 6, Pp 4757-4763 (2022)
Fractional differential equations with constant coefficients can be readily handled by a number of methods, but those with variable coefficients are much more challenging. Recently, a method has appeared in the literature for solving fractional diffe
Externí odkaz:
https://doaj.org/article/69e6f1d36dbd4a43af6f6c400e05bfff
Autor:
Humberto Rafeiro, Joel E. Restrepo
Publikováno v:
Electronic Research Archive, Vol 30, Iss 2, Pp 565-573 (2022)
A new characterization of the weighted Taibleson's theorem for generalized Hölder spaces is given via a Hadamard-Liouville type operator (Djrbashian's generalized fractional operator).
Externí odkaz:
https://doaj.org/article/dda49e51e267448fa8a9222964ba8a9b
Publikováno v:
Journal of Mathematical Sciences. 266:593-602
Publikováno v:
Alexandria Engineering Journal, Vol 61, Iss 6, Pp 4757-4763 (2022)
Fractional differential equations with constant coefficients can be readily handled by a number of methods, but those with variable coefficients are much more challenging. Recently, a method has appeared in the literature for solving fractional diffe
Publikováno v:
International Mathematics Research Notices.
We prove existence and uniqueness and give the analytical solution of heat and wave type equations on a compact Lie group $G$ by using a nonlocal (in time) differential operator and a positive left invariant operator (maybe unbounded) acting on the g
Publikováno v:
Mediterranean Journal of Mathematics. 20
A recent development in the theory of fractional differential equations with variable coefficients has been a method for obtaining an exact solution in the form of an infinite series involving nested fractional integral operators. This solution repre
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:13670-13683
Autor:
Joel E. Restrepo, Alexey Karapetyants
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:8566-8577
Autor:
Durvudkhan Suragan, Joel E. Restrepo
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:7262-7274
Publikováno v:
Applicable Analysis. 101:4965-4969
We consider direct and inverse abstract Cauchy problems with time-dependent coefficients. We give an explicit representation of the unique solution operator of the direct abstract Cauchy problem. W...