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

Rabha W. Ibrahim, Maslina Darus

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)152-160
Number of pages9
JournalMathematical and Computational Applications
Volume19
Issue number2
Publication statusPublished - 2014

Fingerprint

Fractional Differential Equation
Unit Disk
Differential equations
Transform
Fractals
Nonlinear Differential Equations
Biology
Mathematical operators
Fractal
Fractional
Physics
Exact Solution
Economics
Operator

Keywords

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

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics
  • Computational Mathematics

Cite this

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

In: Mathematical and Computational Applications, Vol. 19, No. 2, 2014, p. 152-160.

Research output: Contribution to journalArticle

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