Closed form of the solutions of some boundary-value problems for anomalous diffusion equation with Hilfer's generalized derivative

DOI10.1007/s10559-014-9645-1zbMath1418.34008OpenAlexW2124182406MaRDI QIDQ2263313

V. M. Bulavatskij

Publication date: 18 March 2015

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-014-9645-1

zbMATH Keywords

boundary-value problemsanomalous diffusiondifferential equations of fractional orderclosed solutionsHilfer's fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (7)

On solvability of the non-local problem for the fractional mixed-type equation with Bessel operator ⋮ A boundary problem for the time-fractional Hallaire-Luikov moisture transfer equation with Hilfer derivative ⋮ Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative ⋮ Direct and inverse source problem for 2D Landau Hamiltonian operator ⋮ Frankl-type problem for a mixed type equation with the Caputo fractional derivative ⋮ An inverse problem for anomalous diffusion equation with bi-ordinal Hilfer's derivative ⋮ On abstract Hilfer fractional integrodifferential equations with boundary conditions

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