Analysis of non-homogeneous heat model with new trend of derivative with fractional order

Badr Saad T. Alkahtani and Abdon Atangana

Chaos, Solitons & Fractals, 2016, vol. 89, issue C, 566-571

Abstract: The model of nonlinear heat was generalized using the new trend of derivative with fractional order. The new definition of derivative with fractional order has no singular kernel thus allows a description of the variation on time or space from the lower to the upper boundaries within the space/time interval which the investigation is taken place for a given model. In detail, we presented the analysis of unique and existence of a solution for the nonlinear fractional equation. We present the derivation of a special solution using an iterative method.

Keywords: New trend of fractional derivative; Nonlinear heat; Existence and uniqueness (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (18)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:89:y:2016:i:c:p:566-571

DOI: 10.1016/j.chaos.2016.03.027

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