Obtaining Voigt Functions Via Quadrature Formula for the Fractional in Time Diffusion and Wave Problem

DOI10.46793/KGJMAT2205.759KOpenAlexW4312459090MaRDI QIDQ5881370

Hemant Kumar, Surya Kant Rai, Mahmood A. Pathan

Publication date: 9 March 2023

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/73/8_eng.html

zbMATH Keywords

Caputo fractional derivativeVoigt functionsnon-zero zeros of Bessel functionSturm-Liouville diffusion and wave problem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Boundary value problems for PDEs of mixed type (35M12) Multiple integral transforms (44A30)

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Cites Work

• Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations
• Global Padé approximations of the generalized Mittag-Leffler function and its inverse
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Computational procedure for Sturm-Liouville problems
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation
• Special Functions for Applied Scientists
• A GENERAL SOLUTION OF A SPACE-TIME FRACTIONAL ANOMALOUS DIFFUSION PROBLEM USING THE SERIES OF BILATERAL EIGEN-FUNCTIONS
• NEW REPRESENTATIONS OF THE VOIGT FUNCTIONS
• A unified presentation of the Voigt functions
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