Analytical numerical solutions of the fractional multi-pantograph system: Two attractive methods and comparisons

By Ahmad El-Ajou, Moa’ath N. Oqielat, Z. Al-Zhour, Shaher Momani. Results in Physics, 2019

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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.

Subfields: Automotive Engineering, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/37daebb3f025a1f6f435c0dc7bc843d8425beb96