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All Journal INDONESIAN JOURNAL OF APPLIED PHYSICS
Muslimah, Aliza
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Astronomy Energy Materials Science & Nanotechnology Physics

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ANALYTICAL SOLUTION OF THE GENERALIZED FRACTIONAL NEWTON’S COOLING LAW BY GENERALIZED FRACTIONAL LAPLACE TRANSFORM METHOD Wibowo, Supriyadi; Muslimah, Aliza; SISWANTO, SISWANTO
INDONESIAN JOURNAL OF APPLIED PHYSICS Vol 16, No 1 (2026): April ( Article in press )
Publisher : Department of Physics, Sebelas Maret University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13057/ijap.v16i1.101537

Abstract

Recently, generalized fractional calculus was introduced, and its properties were studied. The Generalized fractional calculus is an extension of conformable fractional calculus. The conformable fractional Laplace transform method has been proven to be effective, especially in solving the conformable fractional Newton’s cooling law equation. Therefore, it is necessary to define the generalized fractional Laplace transform and investigate its properties. Furthermore, the analytical solution to the generalized fractional Newton’s cooling law equation can be obtained using the generalized fractional Laplace transform method. The behavior of the solution is also analyzed for several values of fractional order and non-negative continuous functions.
Co-Authors S Siswanto Supriyadi Wibowo