Yıl 2018, Cilt 6, Sayı 1, Sayfalar 102 - 109 2018-04-15
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## A Quantitative Approach to Fractional Option Pricing Problems with Decomposition Series

#### Mehmet Yavuz [1] , Necati Özdemir [2]

##### 55 122

This study addresses a novel identification of Adomian Decomposition Method (ADM) to have an accurate and quick solution for the European option pricing problem by using Black-Scholes equation of time-fractional order (FBSE) with the initial condition and generalized Black-Scholes equation of fractional order (GFBSE). The fractional operator is understood in the Caputo mean. First of all, we redefine the Black-Scholes equation as fractional mean which computes the option price for fractional values. Then we have applied the ADM to the FBSE and GFBSE, so we have obtained accurate and quick approximate analytical solutions for these equations. The results related to the solutions have been presented in figures.

Adomian decomposition method, convergence analysis, fractional Black-Scholes model, option pricing
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Birincil Dil en Mühendislik Articles Orcid: orcid.org/0000-0002-3966-6518Yazar: Mehmet Yavuz (Sorumlu Yazar)Kurum: Necmettin Erbakan UniversityÜlke: Turkey Yazar: Necati ÖzdemirKurum: Balikesir UniversityÜlke: Turkey
 Bibtex @araştırma makalesi { konuralpjournalmath359520, journal = {Konuralp Journal of Mathematics}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2018}, volume = {6}, pages = {102 - 109}, doi = {}, title = {A Quantitative Approach to Fractional Option Pricing Problems with Decomposition Series}, key = {cite}, author = {Özdemir, Necati and Yavuz, Mehmet} } APA Yavuz, M , Özdemir, N . (2018). A Quantitative Approach to Fractional Option Pricing Problems with Decomposition Series. Konuralp Journal of Mathematics, 6 (1), 102-109. Retrieved from http://dergipark.gov.tr/konuralpjournalmath/issue/31478/359520 MLA Yavuz, M , Özdemir, N . "A Quantitative Approach to Fractional Option Pricing Problems with Decomposition Series". Konuralp Journal of Mathematics 6 (2018): 102-109 Chicago Yavuz, M , Özdemir, N . "A Quantitative Approach to Fractional Option Pricing Problems with Decomposition Series". Konuralp Journal of Mathematics 6 (2018): 102-109 RIS TY - JOUR T1 - A Quantitative Approach to Fractional Option Pricing Problems with Decomposition Series AU - Mehmet Yavuz , Necati Özdemir Y1 - 2018 PY - 2018 N1 - DO - T2 - Konuralp Journal of Mathematics JF - Journal JO - JOR SP - 102 EP - 109 VL - 6 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2017 ER - EndNote %0 Konuralp Journal of Mathematics A Quantitative Approach to Fractional Option Pricing Problems with Decomposition Series %A Mehmet Yavuz , Necati Özdemir %T A Quantitative Approach to Fractional Option Pricing Problems with Decomposition Series %D 2018 %J Konuralp Journal of Mathematics %P -2147-625X %V 6 %N 1 %R %U ISNAD Yavuz, Mehmet , Özdemir, Necati . "A Quantitative Approach to Fractional Option Pricing Problems with Decomposition Series". Konuralp Journal of Mathematics 6 / 1 (Nisan 2018): 102-109.