most citedApproximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform Method

49 citations · 73 across the 4 of their papers we have counts for

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4 papers

math.NA2017★ 49 cited

Approximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform Method

Eman Abuteen, Asad Freihat, Mohammed Al-Smadi +2

This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions…

math.NA2017

A reliable numerical method for solving a certain class of singular initial value problems using reproducing kernel algorithm

Qasem Al-Haj Abdullah, Mohammed Al-Smadi, Radwan Abu-Gdairi +3

The aim of this study is to present a good modernistic strategy for solving some well-known classes of Lane-Emden type singular differential equations. The proposed approach is bas…

math.NA2017★ 10 cited

Fitted Reproducing Kernel Method for Solving a Class of Third-Order Periodic Boundary Value Problems

Asad Freihat, Radwan Abu-Gdairi, Hammad Khalil +3

In this article, the reproducing kernel Hilbert space [0, 1] is employed for solving a class of third-order periodic boundary value problem by using fitted reproducing kernel algor…

math.NA2016★ 14 cited

Analytical Approximate Solutions of Systems of Multi-pantograph Delay Differential Equations Using Residual Power-series Method

Iryna Komashynska, Mohammed Al-Smadi, Abdallah Al-Habahbeh +1

This paper investigates analytical approximate solutions for a system of multipantograph delay differential equations using the residual power series method (RPSM), which obtains a…