Abstract

The Fractional Laplace transform is applied to derive the solution of fractional differential equation of order governing the motion of the Harmonic Oscillator in a Non-Resisting Medium. The Fractional Laplacetransform method is to provide a potential tool to solve such a type of Fractional differential equation. Further consider oscillator in the presence of an external driving force of is in the fractional form and investigate some interesting features of the given equation. Also discuss the Numerical form of the oscillator in a r. The Fractional Laplace transform is applied to derive the solution of fractional differential equation of order governing the motion of the Harmonic Oscillator in a Non-Resisting Medium. The Fractional Laplacetransform method is to provide a potential tool to solve such a type of Fractional differential equation. Further consider oscillator in the presence of an external driving force of is in the fractional form and investigate some interesting features of the given equation. Also discuss the Numerical form of the oscillator in a resisting medium and discuss some cases of oscillation fractional differential equations for external driving force. esisting medium and discuss some cases of oscillation fractional differential equations for external driving force.

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