A boundary-value problem for a mixed type equation involving hyper-Bessel fractional differential operator and Hilfer's bi-ordinal fractional derivative

Autor:	Karimov, E., Ruzhansky, M., Toshtemirov, B.
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics Mathematics - Classical Analysis and ODEs 35M10 34A12
Druh dokumentu:	Working Paper
DOI:	10.1002/mma.8491
Popis:	In a rectangular domain, a boundary-value problem is considered for a mixed-type equation with a regularized Caputo-like counterpart of hyper-Bessel differential operator and the bi-ordinal Hilfer's fractional derivative. Using the method of separation of variables, Laplace transform, a unique solvability of the considered problem has been established. Moreover, we have found the explicit solution of initial problems for a differential equation with the bi-ordinal Hilfer's derivative and regularized Caputo-like counterpart of the hyper-Bessel differential operator with the non-zero starting point. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.08989 Zobrazit plný text záznamu View this record from Arxiv