# On the fractional Harry Dym equation

## Abstract

We present and discuss the general case of a fractional nonlinear partial differential equation using similarity reductions and recover results associated with Harry Dym-type equations. Particular cases are discussed and some plots illustrate the results. The fractional derivative is considered in the Caputo sense.

- Authors:

- DEMATI, State University of Maranhão, UEMA, Department of Mathematics (Brazil)
- State University of Mato Grosso, Department of Mathematics (Brazil)
- Universidad Militar Nueva Granada, Department of Mathematics (Colombia)
- Imecc-Unicamp, Department of Applied Mathematics (Brazil)

- Publication Date:

- OSTI Identifier:
- 22769292

- Resource Type:
- Journal Article

- Journal Name:
- Computational and Applied Mathematics

- Additional Journal Information:
- Journal Volume: 37; Journal Issue: 3; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0101-8205

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; DIFFUSION; NONLINEAR PROBLEMS; WAVE EQUATIONS

### Citation Formats

```
Costa, Felix S., E-mail: felix@cecen.uema.br, Soares, Junior C. A.,, Plata, Adrian R. G.,, and Oliveira, Edmundo C. de,.
```*On the fractional Harry Dym equation*. United States: N. p., 2018.
Web. doi:10.1007/S40314-017-0484-3.

```
Costa, Felix S., E-mail: felix@cecen.uema.br, Soares, Junior C. A.,, Plata, Adrian R. G.,, & Oliveira, Edmundo C. de,.
```*On the fractional Harry Dym equation*. United States. doi:10.1007/S40314-017-0484-3.

```
Costa, Felix S., E-mail: felix@cecen.uema.br, Soares, Junior C. A.,, Plata, Adrian R. G.,, and Oliveira, Edmundo C. de,. Sun .
"On the fractional Harry Dym equation". United States. doi:10.1007/S40314-017-0484-3.
```

```
@article{osti_22769292,
```

title = {On the fractional Harry Dym equation},

author = {Costa, Felix S., E-mail: felix@cecen.uema.br and Soares, Junior C. A., and Plata, Adrian R. G., and Oliveira, Edmundo C. de,},

abstractNote = {We present and discuss the general case of a fractional nonlinear partial differential equation using similarity reductions and recover results associated with Harry Dym-type equations. Particular cases are discussed and some plots illustrate the results. The fractional derivative is considered in the Caputo sense.},

doi = {10.1007/S40314-017-0484-3},

journal = {Computational and Applied Mathematics},

issn = {0101-8205},

number = 3,

volume = 37,

place = {United States},

year = {2018},

month = {7}

}

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