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The use of improved-F expansion method for the time-fractional Benjamin–Ono equation

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

This study investigates new exact solutions of the time-fractional Benjamin–Ono equation by using the improved-F expansion method. Here, the time-fractional derivative is considered in terms of Conformable fractional derivative (CFD). At first, the fractional complex transform is used to convert the time-fractional Benjamin–Ono equation to an ordinary differential equation. Secondly, the proposed method has applied the given equation to construct exact solutions. Finally, all obtained analytical solutions are presented at the end of the paper.

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  1. Department of Mathematics, Eskişehir Technical University, 26470, Eskişehir, Turkey

    Bahar Karaman

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  1. Bahar Karaman
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Correspondence to Bahar Karaman.

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Karaman, B. The use of improved-F expansion method for the time-fractional Benjamin–Ono equation. RACSAM 115, 128 (2021). https://doi.org/10.1007/s13398-021-01072-w

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  • DOI: https://doi.org/10.1007/s13398-021-01072-w

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