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On solutions of linear fractional differential equations and systems thereof

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Abstract We derive exact solutions to classes of linear fractional differential equations and systems thereof expressed in terms of generalized Wright functions and Fox H-functions. These solutions are invariant solutions… Click to show full abstract

Abstract We derive exact solutions to classes of linear fractional differential equations and systems thereof expressed in terms of generalized Wright functions and Fox H-functions. These solutions are invariant solutions of diffusion-wave equations obtained through certain transformations, which are briefly discussed. We show that the solutions given in this work contain previously known results as particular cases.

Keywords: systems thereof; equations systems; linear fractional; fractional differential; differential equations; solutions linear

Journal Title: Fractional Calculus and Applied Analysis
Year Published: 2019

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