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A new algebraic method to find two special types of exact traveling wavesolutions and the solitary type solutions to some conformable fractionalpartial differential equations is proposed. The two special types of solutionsgiven by the product of exponential and Weierstrass elliptic functions, and theproduct of exponential and Jacobi elliptic functions are new and they cannot beobtained by using the existing algebraic methods.

Exponential--Weierstrass type, exponential--Jacobi type and solitary type solutions to some conformable fractional equations