Completely monotone multinomial Mittag-Leffler type functions and diffusion equations with multiple time-derivatives
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Publication:2020226
DOI10.1515/fca-2021-0005zbMath1499.35618OpenAlexW3135204670MaRDI QIDQ2020226
Publication date: 23 April 2021
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2021-0005
completely monotone functionmultinomial Mittag-Leffler functionPrabhakar functioncomplete Bernstein functionmulti-term time-fractional diffusion equation
Fractional derivatives and integrals (26A33) Heat equation (35K05) Mittag-Leffler functions and generalizations (33E12) Fractional partial differential equations (35R11) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)
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Cites Work
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- Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
- On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics
- General fractional calculus, evolution equations, and renewal processes
- An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
- Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- An operational method for solving fractional differential equations with the Caputo derivatives
- Recovering the time-dependent potential function in a multi-term time-fractional diffusion equation
- Analytical solutions to multi-term time-space Caputo-Riesz fractional diffusion equations on an infinite domain
- The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation
- Identification of the time-dependent source term in a multi-term time-fractional diffusion equation
- Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem
- A practical guide to Prabhakar fractional calculus
- A comment on a controversial issue: a generalized fractional derivative cannot have a regular kernel
- A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators
- On a non-local problem for a multi-term fractional diffusion-wave equation
- Inverse problem for a multi-term fractional differential equation
- Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation
- On a class of time-fractional differential equations
- Impulse responses of fractional damped systems
- Exact solution of two-term time-fractional Thornley's problem by operational method
- Time-fractional Diffusion of Distributed Order
- Transmutations for Multi-Term Fractional Operators
- Mittag-Leffler Functions, Related Topics and Applications
- Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- Completely monotone functions and some classes of fractional evolution equations
- Bernstein functions. Theory and applications
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