Solution of generalized fractional reaction-diffusion equations
From MaRDI portal
Publication:863231
DOI10.1007/s10509-006-9191-zzbMath1105.35309arXivmath/0604475OpenAlexW3105569078MaRDI QIDQ863231
Hans J. Haubold, Ram Kishore Saxena, Arak M. Mathai
Publication date: 25 January 2007
Published in: Astrophysics and Space Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0604475
Mittag-Leffler functionclosed form solutionFox \(H\)-functionIntegral transformsFractional reaction-diffusion
Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05)
Related Items
Solution of fractional kinetic equations involving class of functions and Sumudu transform, Distributed order reaction-diffusion systems associated with Caputo derivatives, Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain, Certain image formulae and fractional kinetic equations of generalized \(\mathtt{k} \)-Bessel functions via the Sumudu transform, On generalized fractional kinetic equations involving generalized Bessel function of the first kind, Fractional integrals and solution of fractional kinetic equations involving \(k\)-Mittag-Leffler function, Further solutions of fractional reaction-diffusion equations in terms of the \(H\)-function, Fractional calculus and applications of family of extended generalized Gauss hypergeometric functions, Galerkin finite element method for a two-dimensional tempered time-space fractional diffusion equation with application to a Bloch-Torrey equation retaining Larmor precession, Solution of generalized fractional kinetic equations with generalized Mathieu series, On the solutions for generalised multiorder fractional partial differential equations arising in physics, Computational solutions of unified fractional reaction-diffusion equations with composite fractional time derivative, The fractional white dwarf hydrodynamical nonlinear differential equation and emergence of quark stars, Fractional calculus involving \((p, q)\)-Mathieu type series, Dynamic k-Struve Sumudu solutions for fractional kinetic equations, Solutions of the space-time fractional Cattaneo diffusion equation, On the solutions of certain fractional kinetic equations, New extension of beta function and its applications, Certain Fractional Integral and Differential Formulas Involving the Extended Incomplete Generalized Hypergeometric Functions, Numerical simulation with high order accuracy for the time fractional reaction-subdiffusion equation, An application of q-Sumudu transform for fractional q-kinetic equation, Generalized distributed order diffusion equations with composite time fractional derivative, Temporal anomalous diffusion and drift of particles in a comb backbone with fractional Cattaneo−Christov flux, A model for reversible reaction in a subdiffusive regime, Computational solution of a fractional generalization of the Schrödinger equation occurring in quantum mechanics, Certain fractional kinetic equations involving generalized \(k\)-Bessel function, On solutions of fractional kinetic equations involving the generalized -Bessel function, Fractional integrals in the matrix-variate cases and connection to statistical distributions, Solving the Caputo fractional reaction-diffusion equation on GPU, Certain fractional kinetic equations involving generalized \(K\)-functions, Solutions of certain fractional kinetic equations and a fractional diffusion equation, Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative, Computational solutions of distributed order reaction-diffusion systems associated with Riemann-Liouville derivatives, On the Solution of Kinetic Equation for Katugampola Type Fractional Differential Equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional reaction-diffusion equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Front propagation and segregation in a reaction-diffusion model with cross-diffusion
- Nonlinear Fokker-Planck equations. Fundamentals and applications.
- Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
- On the solution of fractional evolution equations
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- On the Coefficients of Power Series Having Exponential Singularities
- On Sums of k -th Powers
- The Asymptotic Expansion of the Generalized Hypergeometric Function
- The fractional kinetic equation and thermonuclear functions.
- The random walk's guide to anomalous diffusion: A fractional dynamics approach