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Analytical Numerical Solutions of the Fractional Multi-Pantograph System: Two Attractive Methods and Comparisons

Ahmad El-Ajou, Moa'ath N. Oqielat, Zeyad Al-Zhour,
Published in Elsevier
2019
Volume: 14
   
Abstract

In this paper, we present numerical analytical solutions of a fractional multi-pantograph system by using two attractive methods with rapidly convergence, control of the convergence region and easily software accounts of the infinite series solutions. These methods are: The homotopy analysis and residual power series methods. Furthermore, two important and interesting problems related to the linear nonhomogeneous fractional pantograph system are formulated from the fractional multi-pantograph system and solved numerically and graphically by using the above-mentioned methods. Finally, we show that the approximate and exact solutions are coinciding with a slight difference in error.

About the journal
JournalData powered by TypesetResults in Physics
PublisherData powered by TypesetElsevier
Open AccessNo