Fractional diffusion equation degenerating in the initial hyperplane. (English. Ukrainian original) Zbl 1479.35925
Ukr. Math. J. 73, No. 3, 433-446 (2021); translation from Ukr. Mat. Zh. 73, No. 3, 370-380 (2021).
Summary: We consider a fractional extension of the parabolic equation degenerating in the initial hyperplane. For this equation, we construct and investigate the fundamental solution of the Cauchy problem and find the solution of the inhomogeneous equation.
MSC:
| 35R11 | Fractional partial differential equations |
| 35A08 | Fundamental solutions to PDEs |
| 35K15 | Initial value problems for second-order parabolic equations |
Keywords:
subordination transformationReferences:
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