Well-posedness of an initial value problem for fractional diffusion equation with Caputo-Fabrizio derivative

DOI10.1016/j.cam.2020.112811zbMath1439.35547OpenAlexW3008669076MaRDI QIDQ2309277

Yong Zhou, Nguyen Huy Tuan

Publication date: 30 March 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.112811

zbMATH Keywords

well-posednessblow upCaputo-Fabrizio fractional derivativefractional derivatives and integralsregularity estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional partial differential equations (35R11)

Related Items

REGULARIZATION OF CAUCHY PROBLEM FOR 2D TIME-FRACTIONAL DIFFUSION EVOLUTION EQUATIONS, Some well‐posed results on the time‐fractional Rayleigh–Stokes problem with polynomial and gradient nonlinearities, On Cauchy problem for pseudo-parabolic equation with Caputo-Fabrizio operator, Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise, Existence and limit problem for fractional fourth order subdiffusion equation and Cahn-Hilliard equation, On the initial value problem for fractional Volterra integrodifferential equations with a Caputo–Fabrizio derivative, A new fifth-order iterative method free from second derivative for solving nonlinear equations

Cites Work

• Unnamed Item
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Damping described by fading memory -- analysis and application to fractional derivative models
• Properties of the Caputo-Fabrizio fractional derivative and its distributional settings
• Cauchy problem for fractional diffusion equations
• New discretization of Caputo-Fabrizio derivative
• Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
• Fractional Cauchy problems on bounded domains
• Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales
• On the existence of blow up solutions for a class of fractional differential equations
• Historical survey: the chronicles of fractional calculus
• APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗