Solving Black-Scholes equations using fractional generalized homotopy analysis method
DOI10.1007/s40314-020-01306-4zbMath1463.91202OpenAlexW3083037119MaRDI QIDQ827357
S. R. Saratha, M. Bagyalakshmi, Chee Peng Lim, G. Sai Sundara Krishnan
Publication date: 7 January 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-020-01306-4
Mittag-Leffler functionMonte Carlo simulationfractional calculusimplied volatilityfractional partial differential equationsLaplace-type integral transform
Numerical methods (including Monte Carlo methods) (91G60) Derivative securities (option pricing, hedging, etc.) (91G20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Fractional partial differential equations (35R11)
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Cites Work
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- Homotopy perturbation method for fractional Black-Scholes European option pricing equations using Sumudu transform
- Stock exchange fractional dynamics defined as fractional exponential growth driven by (usual) Gaussian white noise. Application to fractional Black-Scholes equations
- Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio
- Numerical solution of linear and nonlinear Black-Scholes option pricing equations
- The analytical solution for the Black-Scholes equation with two assets in the Liouville-Caputo fractional derivative sense
- Explicit solution to predict the temperature distribution and exit temperatures in a heat exchanger using differential transform method
- A universal difference method for time-space fractional Black-Scholes equation
- Solution of the fractional Black-Scholes option pricing model by finite difference method
- Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-CR-X (X=Mo,Cu)) based on ternary alloys
- A fully nonlinear problem arising in financial modelling
- Fractional generalised homotopy analysis method for solving nonlinear fractional differential equations
- A review on implied volatility calculation
- An upwind finite difference method for a nonlinear Black-Scholes equation governing European option valuation under transaction costs
- The homotopy perturbation method for the Black–Scholes equation
- On Chaotic Behavior of Temperature Distribution in a Heat Exchanger
- A different approach to the European option pricing model with new fractional operator
- Generalized exponential rational function method for extended Zakharov–Kuzetsov equation with conformable derivative
- A general bilinear form to generate different wave structures of solitons for a (3+1)‐dimensional Boiti‐Leon‐Manna‐Pempinelli equation
- Approximation of time fractional Black-Scholes equation via radial kernels and transformations