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An effective computational approach and sensitivity analysis to pseudo-parabolic-type equations

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Abstract

The researchers have developed numerous analytical and numerical techniques for solving fractional partial differential equations most of which provide approximate solutions. Exact solutions, however, are vitally important in a convenient conception of the qualitative properties of the concerned phenomena and processes. In this paper, the pseudo-parabolic-type equations with conformable fractional derivatives are reduced to conformable fractional nonlinear ordinary differential equations by implementing a simple wave transformation. An important benefit of the proposed transformation is that it yields analytical solutions of the conformable pseudo-parabolic type equations by applying the exponential rational function strategy. The sensitivity behaviour of the model has been mentioned thoroughly.

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2021-01-01

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02.30 Jr | 02.70 Wz | 05.45 Yv | 94.05 Fg | exponential rational function method | pseudo-parabolic-type fractional equations | Symbolic computation | traveling wave solutions

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