Solvability of an elliptic partial differential equation with boundary condition involving fractional derivatives

DOI10.1080/17476933.2013.777711zbMath1292.35107OpenAlexW1988452040WikidataQ60199318 ScholiaQ60199318MaRDI QIDQ5418589

B. J. Kadirkulov, Juan. J. Nieto, Abdumauvlen S. Berdyshev

Publication date: 26 May 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2013.777711

zbMATH Keywords

solvabilityharmonic functionoperator of fractional differentiationpolar kernelBitsadze-Samarskii-type problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Series solutions to PDEs (35C10) Fractional partial differential equations (35R11)

Related Items (9)

On initial value problem for elliptic equation on the plane under Caputo derivative ⋮ Fractional evolution equation with Cauchy data in \(L^p\) spaces ⋮ On fractional analogs of Dirichlet and Neumann problems for the Laplace equation ⋮ Modified Riemann - Liouville integro-differential operators in the class of harmonic functions and their applications ⋮ Solvability of a Nonlocal Boundary Value Problem Involving Fractional Derivative Operators ⋮ Gellerstedt type problem for the loaded parabolic-hyperbolic type equation with Caputo and Erdelyi-Kober operators of fractional order ⋮ On solvability of some boundary value problem for polyharmonic equation with boundary operator of a fractional order ⋮ Schrödinger type operators on local generalized Morrey spaces related to certain nonnegative potentials ⋮ On a nonlocal problem for the Laplace equation in the unit ball with fractional boundary conditions

Cites Work

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• Maximum principles for fractional differential equations derived from Mittag-Leffler functions
• Some recent advances in theory and simulation of fractional diffusion processes
• Maximum principle and its application for the time-fractional diffusion equations
• Applications of Fractional Calculus to the Theory of Viscoelasticity

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