Open AccessREGARDING NEW NUMERICAL RESULTS FOR THE DYNAMICAL MODEL OF ROMANTIC RELATIONSHIPS WITH FRACTIONAL DERIVATIVE
Author(s) -
Wei Gao,
P. Veeresha,
D. G. Prakasha,
Hacı Mehmet Baskonus
Publication year - 2021
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/s0218348x22400096
Subject(s) - fractional calculus , laplace transform , unification , mathematics , homotopy analysis method , order (exchange) , homotopy , derivative (finance) , mathematical analysis , pure mathematics , computer science , finance , financial economics , economics , programming language
The main purpose of the present investigation is to find the solution of fractional coupled equations describing the romantic relationships using [Formula: see text]-homotopy analysis transform method ([Formula: see text]-HATM). The considered scheme is a unification of [Formula: see text]-homotopy analysis technique with Laplace transform (LT). More preciously, we scrutinized the behavior of the obtained solution for the considered model with fractional-order, in order to elucidate the effectiveness of the proposed algorithm. Further, for the different fractional-order and parameters offered by the considered method, the physical natures have been apprehended. The obtained consequences evidence that the proposed method is very effective and highly methodical to study and examine the nature and its corresponding consequences of the system of fractional order differential equations describing the real word problems.