Analytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domain

DOI10.1007/s13540-022-00021-7zbMath1503.35256OpenAlexW4224300060WikidataQ114017044 ScholiaQ114017044MaRDI QIDQ2110872

Xiao-Long Wang, Xiao-Li Ding, Juan. J. Nieto

Publication date: 23 December 2022

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

Full work available at URL: https://doi.org/10.1007/s13540-022-00021-7

zbMATH Keywords

analytical solutionDirichlet boundary conditionspectral representationfractional Laplacian operatorfractional partial differential-algebraic equations with delays

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Fractional partial differential equations (35R11)

Related Items (2)

Exact solutions and Hyers-Ulam stability of fractional equations with double delays ⋮ Asymptotic radial solution of parabolic tempered fractional Laplacian problem

Cites Work

• Unnamed Item
• Unnamed Item
• Analytical study of solitons to nonlinear time fractional parabolic equations
• Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods
• Discontinuous initial value problems for functional differential-algebraic equations of mixed type
• Analytical solutions for a time-fractional axisymmetric diffusion-wave equation with a source term
• Representation of solutions for fractional differential-algebraic systems with delays
• Anomalous transport of particles in plasma physics
• Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
• Robust finite-time stability of linear differential-algebraic delay equations
• Finite difference approximations for a fractional advection diffusion problem
• Analytical solutions for multi-term time-space fractional partial differential equations with nonlocal damping terms
• Solution for a fractional diffusion-wave equation defined in a bounded domain
• Analytical solutions for the multi-term time-space fractional advection-diffusion equations with mixed boundary conditions
• An analysis of delay-dependent stability of symmetric boundary value methods for the linear neutral delay integro-differential equations with four parameters
• Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid
• A fractional generalization of the Dirichlet distribution and related distributions
• Fractional differential equations solved by using Mellin transform
• Analytical solutions for the multi-term time-space fractional reaction-diffusion equations on an infinite domain
• Numerical method for solving diffusion-wave phenomena
• Analytic and approximate solutions of the space- and time-fractional telegraph equations
• Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method
• On complete monotonicity of three parameter Mittag-Leffler function
• Stability and Robust Stability of Linear Time-Invariant Delay Differential-Algebraic Equations
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Analytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domain