Analytical solutions for multi-term time-space fractional partial differential equations with nonlocal damping terms
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Publication:1799739
DOI10.1515/fca-2018-0019zbMath1439.35526OpenAlexW2808588544MaRDI QIDQ1799739
Publication date: 19 October 2018
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2018-0019
analytical solutionspectral representationfractional Laplacian operatorfractional partial differential equations with nonlocal damping termsmixed Robin boundary condition
Mittag-Leffler functions and generalizations (33E12) Fractional partial differential equations (35R11)
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Cites Work
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- Applications of the fractional Sturm-Liouville problem to the space-time fractional diffusion in a finite domain
- A fractional order recovery SIR model from a stochastic process
- Ten equivalent definitions of the fractional Laplace operator
- Solutions of the main boundary value problems for the time-fractional telegraph equation by the Green function method
- Analytical solutions for a time-fractional axisymmetric diffusion-wave equation with a source term
- Fractional Laplacian in conformal geometry
- Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
- Anomalous transport of particles in plasma physics
- On a fractional order Ebola epidemic model
- Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
- Finite difference approximations for a fractional advection diffusion problem
- Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels
- The role of synaptic transmission in a HIV model with memory
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Competition of three species in an advective environment
- Analytical solutions for the multi-term time-space fractional advection-diffusion equations with mixed boundary conditions
- Semilinear fractional differential equations based on a new integral operator approach
- Analytical solutions for coupling fractional partial differential equations with Dirichlet boundary conditions
- Damped vibration of a nonlocal nanobeam resting on viscoelastic foundation: fractional derivative model with two retardation times and fractional parameters
- Dynamical behaviors, circuit realization, chaos control, and synchronization of a new fractional order hyperchaotic system
- Analytical solutions for the multi-term time-space fractional reaction-diffusion equations on an infinite domain
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- Analytic solutions of fractional integro-differential equations of Volterra type with variable coefficients
- Operational method for solving multi-term fractional differential equations with the generalized fractional derivatives
- The space-fractional diffusion-advection equation: analytical solutions and critical assessment of numerical solutions
- On a generalization of Mittag-Leffler function and its properties
- Fundamental solution of the multi-dimensional time fractional telegraph equation
- Analytic and approximate solutions of the space- and time-fractional telegraph equations
- Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method
- Fractional Cable Equation Models for Anomalous Electrodiffusion in Nerve Cells: Finite Domain Solutions
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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