Green's functions on various time scales for the time-fractional reaction-diffusion equation
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Publication:6048387
DOI10.1155/2023/6646284zbMath1523.35293OpenAlexW4362672336MaRDI QIDQ6048387
Alexey A. Zhokh, Peter E. Strizhak
Publication date: 10 October 2023
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2023/6646284
Mittag-Leffler functionintegral transformsfirst-order irreversible reactionGreen's functions for short and long times
Fundamental solutions to PDEs (35A08) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Second-order parabolic equations (35K10) Fractional partial differential equations (35R11)
Cites Work
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- On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)
- On Riemann-Liouville and Caputo derivatives
- Some applications of fractional calculus in engineering
- Fractional diffusion equations coupled by reaction terms
- A review of definitions for fractional derivatives and integral
- A Caputo fractional derivative of a function with respect to another function
- The role of fractional calculus in modeling biological phenomena: a review
- Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology
- A critical analysis of the Caputo-Fabrizio operator
- A new collection of real world applications of fractional calculus in science and engineering
- A new definition of fractional derivative
- Time fractional derivative model with Mittag-Leffler function kernel for describing anomalous diffusion: analytical solution in bounded-domain and model comparison
- Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative
- Numerical solution of the time fractional reaction-diffusion equation with a moving boundary
- Properties of the Mittag-Leffler relaxation function
- The space-time fractional diffusion equation with Caputo derivatives
- Rational Solutions for the Time-Fractional Diffusion Equation
- On some fractional Green’s functions
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law
- A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods
