White-Noise Functional Solutions for Wick-Type Stochastic Time-Fractional Benjamin-Bona-Mahony Equation (original) (raw)

International journal of differential equations and applications, 2014

Abstract

A multiple families of White-noise functional solutions for Wick-type stochastic time-fractional Benjamin-Bona-Mahony (BBM) equations modified with variable coefficients are proposed. The suggested technique is based on employing white noise analysis, Hermite and inverse Hermite transforms, improved homogeneous balance method and a modified tanh-coth method; to explore some exact solutions for time-fractional BBM equation with variable coefficients in random processes. Rigorous computations with implemented formal examples are explicitly introduced. \pagebreak

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