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New results involving Airy polynomials, fractional calculus and solution to generalized heat equation
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.3, No. 4)Publication Date: 2015-12-01
Authors : Arman Aghili;
Page : 133-143
Keywords : Keywords: Fractional partial differential equationsş heat equations Kd.V equations Airy polynomials Riemann ? Liouville fractional derivative.;
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Abstract
Abstract The main object of this paper is to demonstrate how we can make significant progress in treating a variety of problems in the theory of partial fractional differential equations by combining theory of special functions and operational methods. In this article, it is shown that the combined use of integral transforms and special functions provides a powerful tool to solve certain type of fractional PDEs and generalized heat equation. Constructive examples are also provided.
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