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Analysis of Burger Equation Using HPM with General Fractional Derivative |
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PP: 523-535 |
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doi:10.18576/pfda/100401
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Author(s) |
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Sachin Kumar,
Manvendra Narayan Mishra,
Ravi Shanker Dubey,
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Abstract |
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| To solve the generalised Burgers equation, the most recent operator in fractional calculus, is introduced in this research work. A more manageable form of problem can be obtained by reducing general fractional derivative into three well-known operators. We use the effective analytical method known as the homotopy perturbation method (HPM) to get generalised Burgers equations solution. A real-world example is used to demonstrate the findings, and we also analyzed all three reduced operators. A graphical analysis is also supplied to demonstrate how the solution functions. By demonstrating how to solve generalised Burgers problem using this approach and general fractional derivative, this study makes a contribution in field of nonlinear differential equations. |
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