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Lie symmetry analysis and explicit solutions for the time fractional generalized Burgers–Huxley equation

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Abstract

In this work, we study the time fractional generalized Burgers–Huxley equation with Riemann–Liouville derivative via Lie symmetry analysis and power series expansion method. We transform the governing equation to nonlinear ordinary differential equation of fractional order using its Lie point symmetries. In the reduced equation, the derivative is in Erdelyi–Kober sense. We apply power series technique to derive explicit solutions for the reduced equation. The convergence of the obtained power series solutions are also derived. Some interesting Figures for the obtained solutions are presented.

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Authors and Affiliations

  1. Department of Mathematics, Science Faculty, Firat University, 23119, Elazig, Turkey

    Mustafa Inc, Abdullahi Yusuf & Aliyu Isa Aliyu

  2. Department of Mathematics, Science Faculty, Federal University Dutse, 7156, Dutse, Jigawa, Nigeria

    Abdullahi Yusuf & Aliyu Isa Aliyu

  3. Department of Mathematics, Cankaya University, Öğretmenler Cad. 1406530, Ankara, Turkey

    Dumitru Baleanu

  4. Institute of Space Sciences, Magurele, Bucharest, Romania

    Dumitru Baleanu

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  1. Mustafa Inc
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  2. Abdullahi Yusuf
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  3. Aliyu Isa Aliyu
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  4. Dumitru Baleanu
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Correspondence to Abdullahi Yusuf.

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Inc, M., Yusuf, A., Aliyu, A.I. et al. Lie symmetry analysis and explicit solutions for the time fractional generalized Burgers–Huxley equation. Opt Quant Electron 50, 94 (2018). https://doi.org/10.1007/s11082-018-1373-8

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