Titlebook: Nonlinear Analysis: Problems, Applications and Computational Methods; Zakia Hammouch,Hemen Dutta,Michael Ruzhansky Conference proceedings

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A Novel Method for Solving Nonlinear Jerk Equations, In this article, reproducing kernel method for solving Jerk equations is given. Convergence of the solution is shown. This method is applied to the equation for chosen values of the parameters that seem in the model and some numerical experiments prove that the reproducing kernel method is very effective method.

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Solving a New Type of Fractional Differential Equation by Reproducing Kernel Method,The aim of this work is to get the solutions of the fractional counterpart of a boundary value problem by implementing the reproducing kernel Hilbert space method. Convergence of the solution problem discussed has been shown. The efficiency of the proposed technique is demonstrated by some tables.

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