Analytical solutions for conformable space-time fractional partial differential equations via fractional differential transform

Hayman Thabet and Subhash Kendre

Chaos, Solitons & Fractals, 2018, vol. 109, issue C, 238-245

Abstract: This paper introduces an efficient fractional differential transform that is called “conformable fractional partial differential transform (CFPDT)” and its properties for solving linear and nonlinear conformable space-time fractional partial differential equations (CSTFPDEs). Moreover, a CFPDT is more practical and helpful for solving abroad CSTFPDEs. Analytical solutions to linear Navier–Stokes equation and nonlinear gas dynamic equations in sense of conformable space-time fractional partial derivatives are successfully obtained to confirm the accuracy and efficiency of the proposed transform.

Keywords: Conformable fractional partial differential transform; Conformable space-time fractional partial differential equations; Linear Navier–Stokes equation; Nonlinear gas dynamic equations (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:109:y:2018:i:c:p:238-245

DOI: 10.1016/j.chaos.2018.03.001

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