Article detail · 2015
On the Solution of Burgers Equation with the New Fractional Derivative
- Year
- 2015
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Open Physics
- Catalog match (ISSN) Open Physics
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
Abstract Firstly in this article, the exact solution of a time fractional Burgers’ equation, where the derivative is conformable fractional derivative, with dirichlet and initial conditions is found byHopf-Cole transform. Thereafter the approximate analytical solution of the time conformable fractional Burger’s equation is determined by using a Homotopy Analysis Method(HAM). This solution involves an auxiliary parameter ~ which we also determine. The numerical solution of Burgers’ equation with the analytical solution obtained by using the Hopf-Cole transform is compared.
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Citations
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73 citations
OpenAlex cited_by_count (cache / database)
33 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
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- New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion method 2016
- New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion method 2016
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- On the conformable nonlinear schrödinger equation with second order spatiotemporal and group velocity dispersion coefficients 2021
- New solutions for conformable fractional Nizhnik–Novikov–Veselov system via G’xx/G expansion method and homotopy analysis methods 2017
- New solutions for conformable fractional Nizhnik–Novikov–Veselov system via G’/G expansion method and homotopy analysis methods 2017