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M.E. MEZABIA1, A. SOUIGAT2, B. TELLAB3, and M.T. MEFTAH4

1Department of Mathematics, Kasdi Merbah University, 30000 Ouargla, Algeria
2Ecole Normale Supérieure, 30000 Ouargla, Algeria
3Department of Process Engineering, Kasdi Merbah University, 30000 Ouargla, Algeria
4LRPPS Laboratory, Kasdi Merbah University, 30000 Ouargla, Algeria

Application of Jumarie's Fractional Derivative to Degassing a Thin Plate

307–316 (2025)

PACS numbers: 02.30.Gp, 02.30.Hq, 02.30.Uu, 05.60.Cd, 66.30.Dn, 81.05.Zx

In this work, we have dealt with a problem encountered in transport phenomena. The equations describing such phenomenon contain fractional derivatives. We use the modified Jumarie’s definition of such a derivative to solve the transport equation. In particular, we have treated the space–time fractional diffusion equation (of Fick’s law) regarding the process of degassing a thin plate in vacuum

KEY WORDS: fractional Jumarie’s derivative, Fick’s law, Mittag-Leffler functions, Laplace transform

DOI:  https://doi.org/10.15407/nnn.23.02.0307

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