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Supriyadi Wibowo
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Agriculture, Biological Sciences & Forestry Arts Humanities Astronomy Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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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 Alfira Widya Sari Aqila Aliya Mahesha Haning Puspita, Aulia Salsabila Imron Alimudin Iqbal Tora Hakeem Irwan Susanto Jihaan Nuhaa Haniifah M Muslich Muslimah, Aliza Nabila Firly Aulia Nadia Ramadhanti Nughthoh Arfawi Kurdhi, Nughthoh Arfawi Nugroho Arif Sudibyo Putranto Hadi Utomo Rahmawati, Anita Dwi S Siswanto Santoso Budi Wiyono Sarita Ayu Aprilia Setiyowati, Ririn Shinta Budiati Sutrima Sutrima Sutrima, S Vika Yugi Kurniawan Vika Yugi Kurniawan Yohanes Paulus Jujur Kinanthi Yulia Indah Puspitasari Yusuf Dhanzky Handitra