Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform-Successive Approximations Method

Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method

In this paper, the Combined Laplace Transform-Adomian Decomposition Method is used to solve nth-order integro-differential equations. The results show that the method is very simple and effective.

Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order

This study outlines the local fractional integro-differential equations carried out by the local fractional calculus. The analytical solutions within local fractional Volterra and Abel’s integral equations via the Yang-Laplace transform are discussed. Some illustrative examples will be discussed. The obtained results show the simplicity and efficiency of the present technique with application t...

Variational iteration method for solving nth-order fuzzy integro-differential equations

In this paper, the variational iteration method for solving nth-order fuzzy integro differential equations (nth-FIDE) is proposed. In fact the problem is changed to the system of ordinary fuzzy integro-differential equations and then fuzzy solution of nth-FIDE is obtained. Some examples show the efficiency of the proposed method.

New Iterative Method: Application to nth-Order Integro-Differential Equations

In the present article, we implement the new iterative method with a reliable algorithm to solve the nth-order linear/ nonlinear integro-differential equations. The obtained results confirm the power of the method in reducing the size of calculations compared with the other methods.

Fuzzy laplace transform on two order derivative and solving fuzzy two order differential equations