Newton’un Soğuma Kanunu: Kesirsel Bir Yaklaşım

Bu çalışmada Newton’un soğuma kanununu tasvir eden diferansiyel denklem Caputo kesirsel türevikullanılarak yeniden tanımlanmış ve çözülmüştür. Bu yeni çözüm literatürdeki benzer kesirselçözümlerden farklı olarak herhangi bir zaman parametresi içermemektedir. Elde edilen sonuçlardeneysel ve standart sonuçlarla karşılaştırılmıştır. Deneysel sonuçlara en uygun olan kesirsel türevmertebesi elde edilmiştir.

Newton’s Law of Cooling: A Fractional Approach

In this work, the differential equation describing Newton's law of cooling has been redefined and solved using Caputo fractional derivative. Unlike similar fractional solutions in the literature, this new solution does not contain any time parameter. The obtained results have been compared with the experimental and the standard ones. Order of fractional derivative which is most suitable for the experimental results has been obtained.

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