Abstract
We present the nondifferentiable approximate solution for local fractional Tricomi equation arising in fractal transonic flow by local fractional variational iteration method. Some illustrative examples are shown and graphs are also given.
Highlights
IntroductionWe study the local fractional Tricomi equation given as follows: yα ∂2αu (x, y) Γ (1 + α) ∂x2α
In this paper, we study the local fractional Tricomi equation given as follows: yα ∂2αu (x, y) Γ (1 + α) ∂x2α + ∂2αu (x, y) ∂y2α = (1)where the quantity u(x, y) is the nondifferentiable function and the operator is local fractional operator suggested as follows [1,2,3]: ∂αu (x, t) ∂tαΔα (u (x, t) (t −− u (x, t0)α t0)) (2) where
We present the nondifferentiable approximate solution for local fractional Tricomi equation arising in fractal transonic flow by local fractional variational iteration method
Summary
We study the local fractional Tricomi equation given as follows: yα ∂2αu (x, y) Γ (1 + α) ∂x2α. The Tricomi equation was used to describe the transonic flow [10,11,12,13,14,15,16,17,18,19,20,21,22]. The aim of this paper is to use the local fractional variational iteration method to deal with the local fractional Tricomi equation which arises in fractal transonic flow.
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