Analytical solutions of Hristov diffusion equations with non-singular fractional derivatives

DOI10.1063/1.5082645zbMath1409.35228OpenAlexW2912485354WikidataQ92054430 ScholiaQ92054430MaRDI QIDQ4627638

Ndolane Sene

Publication date: 11 March 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5082645

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

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Uses Software

• ML

Cites Work

• Unnamed Item
• The asymptotics of the solutions to the anomalous diffusion equations
• Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations
• Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions
• Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
• On a new class of fractional operators
• An approximate solution based on Jacobi polynomials for time-fractional convection-diffusion equation
• Reprint of: boundary conditions for fractional diffusion
• The accuracy and stability of an implicit solution method for the fractional diffusion equation
• Fractional derivatives with no-index law property: application to chaos and statistics
• Stokes' first problem for heated flat plate with Atangana-Baleanu fractional derivative
• The Prabhakar or three parameter Mittag-Leffler function: theory and application
• Optimal exponent heat balance and refined integral methods applied to Stefan problems
• Finite difference/spectral approximations for the time-fractional diffusion equation
• The solution of the time-fractional diffusion equation by the generalized differential transform method
• Frontiers in Fractional Calculus
• Chaotic processes using the two-parameter derivative with non-singular and non-local kernel: Basic theory and applications
• Fourth-order fractional diffusion model of thermal grooving: integral approach to approximate closed form solution of the Mullins model
• On generalized fractional operators and a gronwall type inequality with applications
• On the Atangana–Baleanu Derivative and Its Relation to the Fading Memory Concept: The Diffusion Equation Formulation
• Exponential form for Lyapunov function and stability analysis of the fractional differential equations
• A New Approach to Generalized Fractional Derivatives