Original scientific paper
Group classification of space-time fractional nonlinear Poisson equation
Aminu Ma'aruf Nass
orcid.org/0000-0002-6672-5835
; Department of Mathematics, University of Hafr Al Batin, Saudi Arabia
Kassimu Mpungu
orcid.org/0000-0002-8669-6621
; Department of Mathematics, University of Hafr Al Batin, Saudi Arabia
Rahmatullah Ibrahim Nuruddeen
; Department of Mathematics, Federal University Dutse,Dutse, Jigawa State, Nigeria
Abstract
In this paper, we present a complete symmetry analysis for the space-time fractional nonlinear Poisson Equation. A minimal symmetry algebra for any arbitrary function f(u) is obtained. A group classification is then carried out by investigating for f(u) that give a larger symmetry algebras. Symmetries are obtained and some exact solutions are constructed.
Keywords
Erdelyi-Kober Operator; Lie Algebra; Poisson Equation
Hrčak ID:
227094
URI
Publication date:
25.10.2019.
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