SOLUTION OF TIME-FRACTIONAL BLACK-SCHOLES EQUATIONS VIA HOMOTOPY ANALYSIS SUMUDU TRANSFORM METHOD

被引：0
|
作者：
Gao, Hongliang [1 ]
Pandey, Rishi kumar [2 ]
Lodhi, Ram kishun [3 ]
Jafari, Hossein [4 ,5 ,6 ]
机构：
[1] Lanzhou Jiaotong Univ, Sch Math & Phys, Lanzhou, Peoples R China
[2] Symbiosis Int Deemed Univ SIU, Symbiosis Ctr Management Studies SCMS, Nagpur, Maharashtra, India
[3] Symbiosis Int Deemed Univ SIU, Symbiosis Inst Technol, Pune Campus, Pune 412115, Maharashtra, India
[4] Univ Mazandaran, Dept Appl Math, Babolsar, Iran
[5] Univ South Africa, UNISA, Dept Math Sci, Pretoria 0003, South Africa
[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2025年
关键词：
Fractional Derivative; Homotopy Analysis Fractional Sumudu Transform Method; Black-Scholes Option Pricing Equation; PARTIAL-DIFFERENTIAL-EQUATIONS; BROWNIAN-MOTION; INTEGRAL TRANSFORM; ANALYTIC SOLUTION; CALCULUS; MODEL;
D O I：
10.1142/S0218348X25401103
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This study presents a semi-analytical solution to the time-fractional Black-Scholes equation (TFBSE) using the homotopy analysis fractional Sumudu transform method (HAFSTM). The solutions obtained for the TFBSE are matched through exact solutions to demonstrate the impact of fractional order. The results confirm that this approach is highly reliable and effective, offering a flexible and accurate way to solve the equation without constraints such as finite discretization, limited domain, or perturbation methods.
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页数：11
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