Open AccessON THE NEW EXPLICIT SOLUTIONS OF THE FRACTIONAL NONLINEAR SPACE-TIME NUCLEAR MODEL
Author(s) -
AbdelHaleem AbdelAty,
Mostafa M. A. Khater,
Raghda A. M. Attia,
Mahmoud AbdelAty,
Hichem Eleuch
Publication year - 2020
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x20400356
Subject(s) - nonlinear system , fractional calculus , mathematics , integer (computer science) , space (punctuation) , operator (biology) , ordinary differential equation , mathematical analysis , nonlinear model , wave model , differential equation , physics , computer science , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , gene , programming language , operating system , meteorology
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.