On the fractional Harry Dym equation

Journal Article · Sun Jul 15 00:00:00 EDT 2018 · Computational and Applied Mathematics

DOI:https://doi.org/10.1007/S40314-017-0484-3· OSTI ID:22769292

Soares, Junior C. A., ^[1]; Plata, Adrian R. G., ^[2]; Oliveira, Edmundo C. de, ^[3]

---

1. State University of Mato Grosso, Department of Mathematics (Brazil)
2. Universidad Militar Nueva Granada, Department of Mathematics (Colombia)
3. Imecc-Unicamp, Department of Applied Mathematics (Brazil)

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.

• OSTI ID: 22769292
• Journal Information: Computational and Applied Mathematics, Vol. 37, Issue 3; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); ISSN 0101-8205
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
DIFFUSION
NONLINEAR PROBLEMS
WAVE EQUATIONS