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Fractional algebraic nonlinear differential equations in a complex domain

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Abstract

In this manuscript, we propose an approximate analytical method for finding solutions of algebraic fractional equation in a complex domain. This method is a generalization of the two-dimensional Padè approximate method of derivation. We supply the exact solutions from the known forms of the series solutions in the unit disk. Applications, using a time fractional diffusion equation, are illustrated. Moreover, we establish the existence and uniqueness solution of this type of fractional differential equations.

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Authors and Affiliations

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

    Rabha W. Ibrahim

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  1. Rabha W. Ibrahim
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Correspondence to Rabha W. Ibrahim.

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Ibrahim, R.W. Fractional algebraic nonlinear differential equations in a complex domain. Afr. Mat. 26, 385–397 (2015). https://doi.org/10.1007/s13370-013-0212-0

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  • DOI: https://doi.org/10.1007/s13370-013-0212-0

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