REGARDING NEW NUMERICAL RESULTS FOR THE DYNAMICAL MODEL OF ROMANTIC RELATIONSHIPS WITH FRACTIONAL DERIVATIVE

Wei Gao, P. Veeresha (), D. G. Prakasha () and Haci Mehmet Baskonus ()
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Wei Gao: School of Information Science and Technology, Yunnan Normal University, Yunnan, P. R. China
P. Veeresha: ��Department of Mathematics, CHRIST, (Deemed to be University), Bengaluru 560029, India
D. G. Prakasha: ��Department of Mathematics, Faculty of Science, Davangere University, Shivagangothri, Davangere 577007, India
Haci Mehmet Baskonus: �Department of Mathematics and Science Education, Faculty of Education, Harran University Sanliurfa, Turkey

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-11

Abstract: The main purpose of the present investigation is to find the solution of fractional coupled equations describing the romantic relationships using q-homotopy analysis transform method (q-HATM). The considered scheme is a unification of q-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.

Keywords: Chaotic Behavior; Laplace Transform; Caputo Derivative; q-Homotopy Analysis Method (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400096

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