A boundary-value problem for a mixed type equation involving hyper-Bessel fractional differential operator and Hilfer's double order fractional derivative
Year: 2021
Type: preprint
Abstract: 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 double-order Hilfer 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 an explicit solution of initial problems for differential equations with the double-order Hilfer's derivative and regularized Caputo-like counterpart of the hyper-Bessel differential operator with the non-zero starting point.
Source: arXiv (Cornell University)
Institution: Ghent University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3138932812