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S.Reza Sabzpoushan

S.Reza Sabzpoushan

Academic rank: Instructor
ORCID:
Education: BSc.
ScopusId: 55769282100
HIndex:
Faculty: Faculty of Engineering
Address:
Phone:

Research

Title
Solitary Solution of a class of nonlinear time-fractional partial differential equations.
Type
JournalPaper
Keywords
fractional differential equation, solitary wave, Adomian decomposition method
Year
2016
Journal International Journal of Pure and Applied Mathematics
DOI
Researchers Hossein Parsian ، S.Reza Sabzpoushan

Abstract

This paper presents a general solitary solution of a class of nonlinear time fractional partial differential equations by adomian decomposition method(ADM). This class of nonlinear time-fractional partial equations include a lot of standard nonlinear partial differential equations in mathematical physics. The solitary solution obtained by ADM is a general solitary solution and admit you investigate the solution for different initial condition and different \alpha (\alpha is the order of derivative respect to time 0 < \alpha ≤ 1). Also the solution subject to the especial initial conditions and \alpha=1 reduce to the solution of standard partial differential equation. Additionally, it use fractional derivative of Caputo sense.