Computational analysis of local fractional partial differential equations in realm of fractal calculus

Devendra Kumar, Ved Prakash Dubey, Sarvesh Dubey, Jagdev Singh and Ahmed Mohammed Alshehri

Chaos, Solitons & Fractals, 2023, vol. 167, issue C

Abstract: In this paper, a hybrid local fractional technique is applied to some local fractional partial differential equations. Partial differential equations modeled with local fractional derivatives easily capture the behavior of fractal models. The present technique is a copulation of local fractional homotopy method and local fractional integral transform. Four examples are provided to show the efficiency of an implemented method. Furthermore, computer simulations have also been performed for all the four examples of local fractional partial differential equations in a fractal domain. The working procedure depicts that the applied technique is very useful to acquire solutions for given local fractional partial differential equations in an efficient way. Moreover, the obtained solutions are also in good agreement with solutions computed by other methods.

Keywords: Local fractional partial differential equation; Local fractional derivative; Local fractional Sumudu transform; Cantor set (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922011882

DOI: 10.1016/j.chaos.2022.113009

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