Generalized distributed order diffusion equations with composite time fractional derivative
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Publication:666769
DOI10.1016/j.camwa.2016.07.009zbMath1409.35227arXiv1603.05724OpenAlexW2299233920MaRDI QIDQ666769
Trifce Sandev, Živorad Tomovski, Bojan Crnković
Publication date: 12 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.05724
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Cites Work
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- Hilfer-Prabhakar derivatives and some applications
- Existence of mild solution for evolution equation with Hilfer fractional derivative
- Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
- Existence and uniqueness for a problem involving hilfer fractional derivative
- Fractional wave equation with a frictional memory kernel of Mittag-Leffler type
- On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)
- Representation of solutions and large-time behavior for fully nonlocal diffusion equations
- Effects of a fractional friction with power-law memory kernel on string vibrations
- Generalized Cauchy type problems for nonlinear fractional differential equations with composite fractional derivative operator
- Solution of generalized fractional reaction-diffusion equations
- Some aspects of fractional diffusion equations of single and distributed order
- Space-time fractional Schrödinger equation with composite time fractional derivative
- Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
- Laplace type integral expressions for a certain three-parameter family of generalized Mittag-Leffler functions with applications involving complete monotonicity
- Fox \(H\) functions in fractional diffusion
- Langevin equation for a free particle driven by power law type of noises
- Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative
- Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations
- Operational method for solving multi-term fractional differential equations with the generalized fractional derivatives
- Analytical solution of generalized space-time fractional cable equation
- Hilfer fractional advection-diffusion equations with power-law initial condition; a numerical study using variational iteration method
- Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel
- The role of the Fox-Wright functions in fractional sub-diffusion of distributed order
- The Mittag–Leffler function and its application to the ultra-hyperbolic time-fractional diffusion-wave equation
- Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
- Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
- Time-fractional Diffusion of Distributed Order
- The Two Forms of Fractional Relaxation of Distributed Order
- ON FRACTIONAL RELAXATION
- The general time fractional wave equation for a vibrating string
- Basic Theory of Fractional Differential Equations
- Convergence of series in three parametric Mittag-Leffler functions
- Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise
- Sub-diffusion equations of fractional order and their fundamental solutions
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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