THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Bo Xu

,

Yufeng Zhang

,

Sheng Zhang

VARIATIONAL ITERATION METHOD FOR TWO FRACTIONAL SYSTEMS WITH BOUNDARY CONDITIONS

ABSTRACT
Under investigation in this paper are two local fractional partial differential systems, one is the homogeneous linear partial differential system with initial values, and the other is the inhomogeneous non-linear partial differential system with initial and boundary values. To solve these two local fractional systems, we employ the local fractional variational iteration method and obtain exact solutions. It is shown that the method provides an effective mathematical tool for solving linear and non-linear local fractional partial differential systems with initial and boundary values.
KEYWORDS
homogeneous linear local fractional partial differential system, inhomogeneous non-linear local fractional partial differential system, local fractional variational iteration method, exact solution
PAPER SUBMITTED: 2020-10-04
PAPER REVISED: 2021-10-01
PAPER ACCEPTED: 2021-10-01
PUBLISHED ONLINE: 2022-07-16
DOI REFERENCE: https://doi.org/10.2298/TSCI2203653X
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2653 - 2661]
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Variational iteration method for two fractional systems with boundary conditions

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