On a New Solution of Fractional Differential Equation Using Complex Transform in the Unit Disk

Rabha W. Ibrahim; Maslina Darus

doi:10.3390/mca19020152

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Article

1 August 2014

On a New Solution of Fractional Differential Equation Using Complex Transform in the Unit Disk

and

Institute of Mathematical Sciences University Malaya, 50603, Kuala Lumpur, Malaysia

School of Mathematical Sciences, Faculty of science and Technology University Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan, Malaysia

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Math. Comput. Appl.2014, 19(2), 152-160;https://doi.org/10.3390/mca19020152

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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.

Keywords:

fractional calculus; fractional differential equations; srivastava-Owa fractional operators; unit disk

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