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

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

1
Institute of Mathematical Sciences University Malaya, 50603, Kuala Lumpur, Malaysia
2
School of Mathematical Sciences, Faculty of science and Technology University Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan, Malaysia
*
Authors to whom correspondence should be addressed.
Published: 1 August 2014
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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 fractional calculus; fractional differential equations; srivastava-Owa fractional operators; unit disk
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Ibrahim, R.W.; Darus, M. On a New Solution of Fractional Differential Equation Using Complex Transform in the Unit Disk. Math. Comput. Appl. 2014, 19, 152-160.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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