Panumart SawangtongKamonchat TrachooWannika SawangtongBenchawan WiwattanapatapheeKing Mongkut's University of Technology North BangkokCurtin UniversityThailand Ministry of EducationMahidol University2019-08-232019-08-232018-07-25Mathematics. Vol.6, No.8 (2018)222773902-s2.0-85052818915https://repository.li.mahidol.ac.th/handle/123456789/46102© 2018 by the authors. It is well known that the Black-Scholes model is used to establish the behavior of the option pricing in the financial market. In this paper, we propose the modified version of Black-Scholes model with two assets based on the Liouville-Caputo fractional derivative. The analytical solution of the proposed model is investigated by the Laplace transform homotopy perturbation method.Mahidol UniversityMathematicsArticleSCOPUS10.3390/math6080129