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Local Fractional Operator (LFO) with respect to Caputo Derivative (CD) is employed for approximate-analytical solutions of the K(2, 2)-focusing branch equation of time-fractional order. The LFO technique is a projected version of the standard Differential Transform Method. The results obtained show that the method is simple, easy in implementation, and very much in line with the exact solutions at...
In this paper, we obtain approximate solutions of a variable-volatility option pricing model (VVOPM) built upon the classical Black-Scholes option pricing model via the inclusion of variable volatility function. Projected Differential Transform Method (PDTM) is proposed as a method of solution. For effectiveness and robustness of the proposed method, an illustrative case is considered based on some...
In our physical settings, most of the problems encountered are nonlinear in nature whose solutions can better be captured in fractional space. In this paper, a semi-analytical method is proposed for the approximate-analytical solutions of certain system of time-fractional differential equations (TFDDEs) prompted by proportional delays. The proposed semi-analytical technique is built on the basis of...
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