Article

Solving the Cauchy Problem for a Fractional Parabolic Degenerate Equation Using the Hankel Transform Method

Anvar HasanovRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanHilola YuldashovaRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Abstract

In this paper, we aim to study the Cauchy problem posed for a fractional order equation. The general solution of the time-fractional equation of the given parabolic type is found by the Fourier method. The solution consists of the Bessel function and the Mittag-Leffler function. Unknown coefficients are found by Hankel transformation. It is shown that the constructed solution satisfies the initial condition and equation. Special cases of parameter $$\nu$$ are considered.

Topics

Differential Equations and Boundary Problems Numerical methods in inverse problems Thermodynamic and Structural Properties of Metals and Alloys

Identifiers

DOI: 10.1134/s1995080224606805

Citations and references

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