Generalized solutions of the fractional Burger’s equation

Muhammed I. Syam; Dana Abu Obayda; Wadima Alshamsi; Nawal Al-Wahashi; Muna Alshehhi

doi:10.1016/j.rinp.2019.102525

Results in Physics (Dec 2019)

Generalized solutions of the fractional Burger’s equation

Muhammed I. Syam,
Dana Abu Obayda,
Wadima Alshamsi,
Nawal Al-Wahashi,
Muna Alshehhi

Affiliations

Muhammed I. Syam: Corresponding author.; Department of Mathematical Sciences, UAE University, P. O. Box 17551, Al-Ain, United Arab Emirates
Dana Abu Obayda: Department of Mathematical Sciences, UAE University, P. O. Box 17551, Al-Ain, United Arab Emirates
Wadima Alshamsi: Department of Mathematical Sciences, UAE University, P. O. Box 17551, Al-Ain, United Arab Emirates
Nawal Al-Wahashi: Department of Mathematical Sciences, UAE University, P. O. Box 17551, Al-Ain, United Arab Emirates
Muna Alshehhi: Department of Mathematical Sciences, UAE University, P. O. Box 17551, Al-Ain, United Arab Emirates

DOI: https://doi.org/10.1016/j.rinp.2019.102525
Journal volume & issue: Vol. 15

Abstract

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We investigate the solutions for the fractional Burger’s equation based on the Jumarie fractional derivative using Bernoulli polynomials. We find general solutions for such problems. Comparison with other methods is presented. Our solutions are generalized solutions for the solutions offered by other researchers. Keywords: Burger’s equation, Jumarie fractional derivative, Solution, MCS 2010: 76A05, 76W05, 76Z99, 65L05

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: https://www.sciencedirect.com/journal/results-in-physics

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