Applications of the fractional Sturm-Liouville problem to the space-time fractional diffusion in a finite domain

DOI10.1515/fca-2016-0027zbMath1381.34017OpenAlexW2444384719WikidataQ60309258 ScholiaQ60309258MaRDI QIDQ281444

Agnieszka B. Malinowska, Małgorzata Klimek, Tatiana Odzijewicz

Publication date: 11 May 2016

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2016-0027

zbMATH Keywords

fractional calculusanomalous diffusionfractional partial differential equationsfractional diffusion equationfractional Sturm-Liouville problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalue problems for linear operators (47A75) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items

Fractional Sturm–Liouville problems for Weber fractional derivatives, Regular fractional differential equations in the Sobolev space, A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations, Some inverse problems for fractional integro-differential equation involving two arbitrary kernels, Exact and numerical solutions of the fractional Sturm-Liouville problem, Green's formula for integro-differential operators, Applications of the fractional Sturm-Liouville difference problem to the fractional diffusion difference equation, Optimal control problems of parabolic fractional Sturm-Liouville equations in a star graph, A numerical approximation for generalized fractional Sturm-Liouville problem with application, Variational approximation for fractional Sturm-Liouville problem, Inverse source problem for a space-time fractional diffusion equation, Unnamed Item, The fractional Sturm-Liouville problem -- numerical approximation and application in fractional diffusion, Analytical solutions for multi-term time-space fractional partial differential equations with nonlocal damping terms, Application of the fractional Sturm-Liouville theory to a fractional Sturm-Liouville telegraph equation, Numerical approximation to Prabhakar fractional Sturm-Liouville problem, Homogeneous Robin boundary conditions and discrete spectrum of fractional eigenvalue problem

Cites Work

• Correlation structure of fractional Pearson diffusions
• Fractional order optimal control problems with free terminal time
• Variational methods for the fractional Sturm-Liouville problem
• Space-time fractional diffusion on bounded domains
• From Sturm-Liouville problems to fractional and anomalous diffusions
• A sufficient condition of viability for fractional differential equations with the Caputo derivative
• Variational formulations of differential equations and asymmetric fractional embedding
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional diffusion on bounded domains
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Nonlinear reaction with fractional dynamics
• Numerical solution of fractional Sturm-Liouville equation in integral form
• Eigenvalues for iterative systems of Sturm-Liouville fractional order two-point boundary value problems
• The fractional diffusion equation
• Limit theorems for continuous-time random walks with infinite mean waiting times
• Limit theorems for occupation times of Markov processes
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item