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An Efficient Method for Solving Singularly Perturbed Riccati Equation with Fractional Order

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In this paper, we study a class of singularly perturbed Riccati equation with fractional order. We divide the problem into three problems. The first problem is the reduced problem when… Click to show full abstract

In this paper, we study a class of singularly perturbed Riccati equation with fractional order. We divide the problem into three problems. The first problem is the reduced problem when $$\epsilon =0$$ϵ=0. The second and third problems are fractional Riccati problem. The results show that the proposed analytical method can achieve excellent results in predicting the solutions of such problems. Numerical results are presented.

Keywords: singularly perturbed; equation fractional; fractional order; perturbed riccati; riccati equation

Journal Title: International Journal of Applied and Computational Mathematics
Year Published: 2017

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