ANALYTICAL SOLUTION OF THE GENERALIZED FRACTIONAL NEWTON’S COOLING LAW BY GENERALIZED FRACTIONAL LAPLACE TRANSFORM METHOD

Supriyadi Wibowo, Aliza Muslimah, SISWANTO SISWANTO

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.

Keywords

Generalized fractional (GF); GF Laplace transform; GF Newton’s cooling law

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DOI: https://doi.org/10.13057/ijap.v16i1.101537

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