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ON THE NEW EXPLICIT SOLUTIONS OF THE FRACTIONAL NONLINEAR SPACE-TIME NUCLEAR MODEL

ABDEL-HALEEM ABDEL-ATY

Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia

Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

E-mail Address: amabdelaty@ub.edu.sa

Corresponding author.

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MOSTAFA M. A. KHATER

Department of Mathematics, Faculty of Science, Jiangsu University, Jiangsu, P. R. China

Department of Mathematics, Obour Institutes, 11828 Cairo, Egypt

E-mail Address: mostafa.khater2024@yahoo.com

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RAGHDA A. M. ATTIA

Department of Mathematics, Faculty of Science, Jiangsu University, Jiangsu, P. R. China

Department of Basic Science, Higher Technological Institute, 10th of Ramadan City, Egypt

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M. ABDEL-ATY

Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

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, and

HICHEM ELEUCH

College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, UAE

Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA

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https://doi.org/10.1142/S0218348X20400356Cited by:54 (Source: Crossref)

This article is part of the issue:

Special Issue on Fractal and Fractional with Applications to Nature
Guest Editors: Abdon Atangana, Emile Franc Goufo Ndongmo, José Francisco Gómez Aguilar, Muhammad Altaf Khan and Ilknur Koca

Abstract

In this research, the analytical and numerical solutions of the fractional nonlinear space-time Phi-four model are investigated by employing two systematic schemes and the B-spline schemes. A new fractional operator definition is applied to this model to convert the model from its fractional formula to an integer-order nonlinear ordinary differential equation. The considered model is of major interest for studying the nuclear interaction, elementary particles in a condensed medium, and propagation of dislocations in crystals. Explicit wave solutions are obtained.

Keywords:

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Vol. 28, No. 08

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History

Received 29 December 2019

Accepted 17 February 2020

Published: June 25, 2020

Information

This is an Open Access article in the “Special Issue on Fractal and Fractional with Applications to Nature” published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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ON THE NEW EXPLICIT SOLUTIONS OF THE FRACTIONAL NONLINEAR SPACE-TIME NUCLEAR MODEL

Abstract

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