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Mathematical Communications, Vol. 24 No. 2, 2019.

Original scientific paper

Group classification of space-time fractional nonlinear Poisson equation

Aminu Ma'aruf Nass orcid id orcid.org/0000-0002-6672-5835 ; Department of Mathematics, University of Hafr Al Batin, Saudi Arabia
Kassimu Mpungu orcid id 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

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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

https://hrcak.srce.hr/227094

Publication date:

25.10.2019.

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