A New Solution to the Fractional Black–Scholes Equation Using the Daftardar-Gejji Method [PDF]
Mathematics, 2023 The main objective of this study is to determine the existence and uniqueness of solutions to the fractional Black–Scholes equation. The solution to the fractional Black–Scholes equation is expressed as an infinite series of converging Mittag-Leffler ...
Agus Sugandha +3 more
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Optimal approximations for the free boundary problems of the space-time fractional Black-Scholes equations using a combined physics-informed neural network [PDF]
Scientific ReportsThe combined physics-informed neural network is employed to deal with the free boundary problems of fractional Black-Scholes equations. The solution assumption and the loss function are determined, the transfer learning is borrowed, the combined neural ...
Lina Song +4 more
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Analytical solution of time-fractional N-dimensional Black-Scholes equation using LHPM [PDF]
Ratio Mathematica, 2023 A famous Black-Scholes differential equation is used for pricing options in financial world which represents financial derivatives more significantly. Option is one of the crucial financial derivatives. Sawangtong P., Trachoo K., Sawangtong W.
Sanjay Ghevariya, CHETANBHAI PATEL
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The Approximate Analytic Solution of the Time-Fractional Black-Scholes Equation with a European Option Based on the Katugampola Fractional Derivative [PDF]
Mathematics, 2021 In the finance market, it is well known that the price change of the underlying fractal transmission system can be modeled with the Black-Scholes equation.
Sivaporn Ampun, Panumart Sawangtong
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Forecasting the behaviour of fractional Black-Scholes option pricing equation by laplace perturbation iteration algorithm [PDF]
Alexandria Engineering Journal, 2023 Financial derivatives plays a major role in all financial deals these days. Black–Scholes option pricing model gives a risk free analysis for investing in options. In the current work, a method called the Laplace Perturbation Iteration Algorithm is being
Fareeha Sami Khan +4 more
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Galerkin-finite difference method for fractional parabolic partial differential equations [PDF]
MethodsXThe fractional form of the classical diffusion equation embodies the super-diffusive and sub-diffusive characteristics of any flow, depending on the fractional order. This study aims to approximate the solution of parabolic partial differential equations
Md. Shorif Hossan +2 more
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Fractal and Fractional, 2022 An option is the right to buy or sell a good at a predetermined price in the future. For customers or financial companies, knowing an option’s pricing is crucial.
Sivaporn Ampun +2 more
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Computation, 2021 In the finance market, the Black–Scholes equation is used to model the price change of the underlying fractal transmission system. Moreover, the fractional differential equations recently are accepted by researchers that fractional differential equations
Sirunya Thanompolkrang +2 more
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Beni-Suef University Journal of Basic and Applied Sciences, 2023 Background Following a financial loss in trades due to lack of risk management in previous models from market practitioners, Fisher Black and Myron Scholes visited the academic setting and were able to mathematically develop an option pricing equation ...
Adedapo Ismaila Alaje +5 more
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Pricing formula for exchange option in fractional black-scholes model with jumps [PDF]
Journal of Hyperstructures, 2014 In this paper pricing formula for exchange option in a fractional Black-Scholes model with jumps is derived. We found out some errors in proof of pricing formula for European call option [7]. At first we revise these errors and then extend this result to
Kyong-Hui Kim +2 more
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