Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense
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Publication:4615560
DOI10.1051/mmnp/2018006zbMath1410.65323OpenAlexW2788895278MaRDI QIDQ4615560
Publication date: 29 January 2019
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/2018006
bifurcation analysisAtangana-Baleanu derivativeMittag-Leffler lawblow-up processchaotic and spatiotemporal oscillations
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mittag-Leffler functions and generalizations (33E12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)
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Uses Software
Cites Work
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- Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities
- Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks
- Stability of ODE blow-up for the energy critical semilinear heat equation
- Mathematical study of multispecies dynamics modeling predator-prey spatial interactions
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- Mittag-Leffler functions and their applications
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Fractional calculus for scientists and engineers.
- Exponential time differencing for stiff systems
- Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction-diffusion systems
- Recent results on blow-up and quenching for nonlinear Volterra equations
- Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
- The problem of blow-up in nonlinear parabolic equations
- Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation
- Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense
- Blow-up problems for a semilinear heat equation with large diffusion
- Accurate Padé global approximations for the Mittag-Leffler function, its inverse, and its partial derivatives to efficiently compute convergent power series
- Mathematical problems from combustion theory
- The steady states of the Kuramoto-Sivashinsky equation
- An intrinsic equation of interfacial motion for the solidification of a pure hypercooled melt
- Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition
- Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
- Blow-up time for solutions to some nonlinear Volterra integral equations
- Mittag-Leffler stability of fractional-order Hopfield neural networks
- Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems
- Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
- Blowup for nonlinear equations using a comparison principle in fourier space
- Spectral Methods in MATLAB
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- Fourth-Order Time-Stepping for Stiff PDEs
- Computation of the generalized Mittag-Leffler function and its inverse in the complex plane
- Stochastic models for fractional calculus
