Kumar, DevendraAl Qurashi, MaysaaBaleanu, DumitruSingh, Jagdev02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2018-10-102025-09-182018-10-102025-09-182017Baleanu, D..., [et.al.]. (2017). novel numerical approach for a nonlinear fractional dynamical model of interpersonal and romantic relationships. Entropy, 19(7). http://dx.doi.org/ 10.3390/e190703751099-4300https://doi.org/10.3390/e19070375https://hdl.handle.net/20.500.12416/14973Kumar, Devendra/0000-0003-4249-6326In this paper, we propose a new numerical algorithm, namely q-homotopy analysis Sumudu transform method (q-HASTM), to obtain the approximate solution for the nonlinear fractional dynamical model of interpersonal and romantic relationships. The suggested algorithm examines the dynamics of love affairs between couples. The q-HASTM is a creative combination of Sumudu transform technique, q-homotopy analysis method and homotopy polynomials that makes the calculation very easy. To compare the results obtained by using q-HASTM, we solve the same nonlinear problem by Adomian's decomposition method (ADM). The convergence of the q-HASTM series solution for the model is adapted and controlled by auxiliary parameter h and asymptotic parameter n. The numerical results are demonstrated graphically and in tabular form. The result obtained by employing the proposed scheme reveals that the approach is very accurate, effective, flexible, simple to apply and computationally very nice.eninfo:eu-repo/semantics/openAccessNonlinear Fractional Dynamical Model Of Interpersonal And Romantic RelationshipCaputo Fractional DerivativeQ-Homotopy Analysis MethodSumudu TransformAdomian'S Decomposition MethodArticle10.3390/e190703752-s2.0-85028523132