### Abstract

The Möbius transform of fractional differential equation (Riccati type) is employed to construct new exact solutions for some nonlinear fractional differential equations. The fractional operators are taken in sense of the modified Srivastava-Owa fractal in the unit disk. Examples are illustrated for problems in biology, economic and physics.

Original language | English |
---|---|

Pages (from-to) | 152-160 |

Number of pages | 9 |

Journal | Mathematical and Computational Applications |

Volume | 19 |

Issue number | 2 |

Publication status | Published - 2014 |

### Fingerprint

### Keywords

- Fractional calculus
- Fractional differential equations
- Srivastava-Owa fractional operators
- Unit disk

### ASJC Scopus subject areas

- Engineering(all)
- Applied Mathematics
- Computational Mathematics

### Cite this

*Mathematical and Computational Applications*,

*19*(2), 152-160.

**On a new solution of fractional differential equation using complex transform in the unit disk.** / Ibrahim, Rabha W.; Darus, Maslina.

Research output: Contribution to journal › Article

*Mathematical and Computational Applications*, vol. 19, no. 2, pp. 152-160.

}

TY - JOUR

T1 - On a new solution of fractional differential equation using complex transform in the unit disk

AU - Ibrahim, Rabha W.

AU - Darus, Maslina

PY - 2014

Y1 - 2014

N2 - The Möbius transform of fractional differential equation (Riccati type) is employed to construct new exact solutions for some nonlinear fractional differential equations. The fractional operators are taken in sense of the modified Srivastava-Owa fractal in the unit disk. Examples are illustrated for problems in biology, economic and physics.

AB - The Möbius transform of fractional differential equation (Riccati type) is employed to construct new exact solutions for some nonlinear fractional differential equations. The fractional operators are taken in sense of the modified Srivastava-Owa fractal in the unit disk. Examples are illustrated for problems in biology, economic and physics.

KW - Fractional calculus

KW - Fractional differential equations

KW - Srivastava-Owa fractional operators

KW - Unit disk

UR - http://www.scopus.com/inward/record.url?scp=84902008805&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84902008805&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84902008805

VL - 19

SP - 152

EP - 160

JO - Mathematical and Computational Applications

JF - Mathematical and Computational Applications

SN - 1300-686X

IS - 2

ER -