Fractal boundary value problems for integral and differential equations with local fractional operators
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In this paper, the authors investigated the fractal boundary value problems for the Fredholm integral equations, heat conduction and wave equations by using the local fractional decomposition method.Abstract:
In the present paper we investigate the fractal boundary value problems for
the Fredholm\Volterra integral equations, heat conduction and wave equations
by using the local fractional decomposition method. The operator is
described by the local fractional operators. The four illustrative examples
are given to elaborate the accuracy and reliability of the obtained results.read more
Citations
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References
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Book
Theory and Applications of Fractional Differential Equations
TL;DR: In this article, the authors present a method for solving Fractional Differential Equations (DFE) using Integral Transform Methods for Explicit Solutions to FractionAL Differentially Equations.
Journal ArticleDOI
Variational iteration method – a kind of non-linear analytical technique: some examples
TL;DR: In this paper, a variational iteration method for non-linear problems is proposed, where the problems are initially approximated with possible unknowns and a correction functional is constructed by a general Lagrange multiplier, which can be identified optimally via the variational theory.
Journal ArticleDOI
Conceptions for heat transfer correlation of nanofluids
Yimin Xuan,Wilfried Roetzel +1 more
TL;DR: In this article, the authors proposed two different approaches for deriving heat transfer correlation of the nanofluid, and investigated the mechanism of heat transfer enhancement of the nano-fluid.