On \(q^2\)-analogue of the one-dimensional non-homogeneous heat equation

DOI10.1007/978-3-031-41665-1_12zbMATH Open1545.35062MaRDI QIDQ6609911

I. Ali

Publication date: 24 September 2024

zbMATH Keywords

\(q\)-calculusheat partial differential equation

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Heat equation (35K05)

Cites Work

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• A \(q^ 2\)-analogue operator for \(q^ 2\)-analogue Fourier analysis
• On properties of the solutions of linear \(q\)-difference equations with entire functions coefficients.
• The general theory of linear \(q\)-difference equations.
• On \(q\)-definite integrals.
• On the linear ordinary \(q\)-difference equation.
• On the linear partial \(q\)-difference equation of general type.
• On \(q^2\)-analogue Sobolev type spaces
• A Comprehensive Treatment of q-Calculus
• Duhamel solutions of non-homogeneous $q^2$-analogue wave equations
• On q-Analogues of the Fourier and Hankel Transforms
• Quantum calculus

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