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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
Regularized fractional derivatives in Colombeau algebra
Type
JournalPaper
Keywords
fractional derivatives
Year
2016
Journal International Journal of Nonlinear Analysis and Ap
DOI
Researchers Mohsen Alimohammady ، Fariba Fattahi

Abstract

The present study aims at indicating the existence and uniqueness result of system in extended colombeau algebra. The Caputo fractional derivative is used for solving the system of ODEs. In addition, Riesz fractional derivative of Colombeau generalized algebra is considered. The purpose of introducing Riesz fractional derivative is regularizing it in Colombeau sense. We also give a solution to a nonlinear heat equation illustrating the application of the theory.