This research introduces a novel approach that combines the conformable double Laplace–Sumudu transform (CDLST) and iterative method to handle nonlinear partial problems considering some given conditions, we call this new (CDLSI) method. Furthermore, state discuss main properties basic results related proposed technique. The provides approximate series solutions converge closed form of exact so...

This paper is concerned with a technique for solving Fredholm integro-dierentialequations in the reproducing kernel Hilbert space. In contrast with the conventionalreproducing kernel method, the Gram-Schmidt process is omitted hereand satisfactory results are obtained. The analytical solution is represented inthe form of series. An iterative method is given to obtain the approximate solution.Th...

In this paper, nonlinear vibration analysis of functionally graded piezoelectric (FGP) beam with porosities material is investigated based on the Timoshenko beam theory. Material properties of FG porous beam are described according to the rule of mixture which modified to approximate material properties with porosity phases. The Ritz method is used to obtain the governing equation which is then...