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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 $$\epsilon =0$$ 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...
In this paper, we apply Adomian decomposition method (shortly, ADM) to develop a fast and accurate algorithm of a special second-order ordinary initial value problems. The ADM does not require discretization and consequently of massive computations. This paper is particularly concerned with the ADM and the results obtained are compared with previously known results using the Quintic C 2 -spline...
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