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Mir Sajjad Hashemi

Mir Sajjad Hashemi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex: 0/00
Faculty: Faculty of Basic Sciences
Address:
Phone: 04137745000-1641

Research

Title
On the invariant solutions of space/time-fractional diffusion equations
Type
JournalPaper
Keywords
Space/time-fractional diffusion equation, Lie symmetry analysis, Exact solution, Riemann–Liouville derivative
Year
2017
Journal INDIAN JOURNAL OF PHYSICS
DOI
Researchers Fariba Bahrami ، Ramin Najafi ، Mir Sajjad Hashemi

Abstract

This paper is concerned with the space/time-fractional diffusion equations using Lie symmetry analysis. We introduce a generalized nonclassical method that is applied to differential equations with fractional order. The existing methods give some classical symmetries while the nonclassical approach will retrieve other symmetries to these equations. New exact solutions to the fractional diffusion equations are found.