Farshid Mirzaee

Academic rank: Professor

ORCID: 0000-0002-1429-2548

Education: PhD.

ScopusId: 6508385954

HIndex: 34/00

Faculty: Mathematical Sciences and Statistics

Address: Faculty of Mathematical Sciences and Statistics, Department of Applied Mathematics, Malayer University, 4 Km Malayer-Arak Road, P. O. Box 65719-95863, Malayer, Iran.

Phone: +98 - 81 - 32457459

E-mail: f.mirzaee [at] malayeru.ac.ir

Research

Title	Heat kernel method for quintic and sextic equations in distributions and hyperfunctions
Type	JournalPaper
Keywords	Heat kernel method, Approximately quintic distribution, Approximately sextic distribution, Hyperfunction
Year	2023
Journal	Qualitative Theory of Dynamical Systems
DOI
Researchers	Farshid Mirzaee ، Hamid Khodaei

Abstract

In this paper, we reformulate the quintic and sextic equations in the spaces of gen- eralized functions. Using the pullbacks and the heat kernels, we investigate the approximate quintic and sextic mappings in the spaces of Schwartz tempered dis- tributions and Fourier hyperfunctions.