Degenerate time-fractional diffusion equation with initial and initial-boundary conditions
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Asselya G. Smadiyeva
Abstract
In this paper, we study initial and initial-boundary problems for the time-fractional degenerate diffusion equations in bounded and unbounded domains. We obtain the existence and uniqueness of solutions using Fourier methods.
Funding statement: The research was supported by the Ministry of Education and Science of the Republic of Kazakhstan Grant AP09259578.
Acknowledgements
The author would like to thanks the editor and referees for their valuable comments, which led to a great improvement of the article.
References
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Articles in the same Issue
- Frontmatter
- The second cohomology spaces of 𝒦(1) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on S 1|1
- On completely non-Baire unions in category bases
- Square-free values of n 2 + n + 1
- The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition
- Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth
- The triharmonic equation on the Heisenberg group
- On Busemann–Feller extensions of translation invariant density differentiation bases
- Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra
- Nonmeasurable products of absolutely negligible sets in uncountable solvable groups
- The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy–Krause variation
- On the stochastic integral representation of Brownian functionals
- Generalized Bessel matrix functions
- Degenerate time-fractional diffusion equation with initial and initial-boundary conditions
- Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
- 𝐿𝑝(⋅) − 𝐿𝑞(⋅) estimates for convolution operators with singular measures supported on surfaces of half the ambient dimension
- Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras
