Abstract:
The Black-Scholes equation (BSe) is fascinating in the business world for predicting the performance of financial investment valuation systems. The Caputo fractional derivative (CFD) and Caputo-Fabrizio fractional derivative operators are used in this research to analyze the BSe. The Adomian decomposition method (ADM) and the new iterative transform (NIM) approach are combined alongside the Yang transform. In addition, the convergence and uniqueness results for the aforementioned framework have been calculated. The existence and uniqueness results have been established and frequently accompanied innovative aspects of the prospective system in fixed point terminologies. To provide additional insight into such concepts, a variety of illustrations and tabulations are used. Additionally, the provided techniques regulate and modify the obtained analytical results in a really productive fashion, allowing us to modify and regulate the converging domains of the series solution in a pragmatic manner. � 2022 Saima Rashid et al.
Description:
Rashid, S., Department of Mathematics, Government College University, Faisalabad, 38000, Pakistan; Butt, S.I., Department of Mathematics, COMSATS University, Lahore Campus, Islamabad, Pakistan; Hammouch, Z., Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Viet Nam, Department of Mathematics, Ecole Normale Sup�erieure de Mekn�s, Universit� Moulay Ismail, Meknes, 50000, Morocco, Department of Medical Research, China Medical University Hospital, Taichung, Taiwan; Bonyah, E., Department of Mathematics Education, University of Education, Kumasi Campus, Winneba, Ghana