Existence of solutions for fractional evolution equations with infinite delay and almost sectorial operator

DOI10.1155/2020/8868200zbMath1459.34176OpenAlexW3095369717MaRDI QIDQ2214816

Shanshan Li, Shu-Qin Zhang

Publication date: 10 December 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8868200

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Functional-differential equations with fractional derivatives (34K37)

Related Items (2)

Cauchy problem for impulsive fractional differential equations with almost sectorial operators ⋮ Abstract neutral differential equations with state‐dependent delay and almost sectorial operators

Cites Work

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• Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
• The existence of mild solutions for impulsive fractional partial differential equations
• Abstract fractional Cauchy problems with almost sectorial operators
• On the time-fractional Navier-Stokes equations
• Existence of mild solutions for fractional neutral evolution equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Semigroups of linear operators and applications to partial differential equations
• The Cauchy problem for higher-order abstract differential equations
• A functional calculus for almost sectorial operators and applications to abstract evolution equations
• Mild solutions for abstract fractional differential equations with almost sectorial operators and infinite delay
• A posteriori error estimate for finite volume element method of the second-order hyperbolic equations
• Multiple positive solutions of a singular fractional differential equation with negatively perturbed term
• Analytical solutions of conformable advection-diffusion equation for contaminant migration with isothermal adsorption
• Fractional evolution equations with infinite delay under Carathéodory conditions
• Conformable derivative: application to non-Darcian flow in low-permeability porous media
• Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations
• Conformable derivative approach to anomalous diffusion
• The convergence analysis and uniqueness of blow-up solutions for a Dirichlet problem of the general \(k\)-Hessian equations
• The existence of solution of diffusion equation with the general conformable derivative
• Nonlocal fractional order differential equations with changing-sign singular perturbation
• The existeness and uniqueness result of solutions to initial value problems of nonlinear diffusion equations involving with the conformable variable derivative
• Study on fractional non-autonomous evolution equations with delay
• Existence results for fractional order functional differential equations with infinite delay
• Global existence and stability for second order functional evolution equations with infinite delay
• Finite volume element method for monotone nonlinear elliptic problems
• A two-grid characteristic finite volume element method for semilinear advection-dominated diffusion equations
• A discontinuous finite volume element method for second-order elliptic problems
• A posteriori error estimate for finite volume element method of the parabolic equations
• Higher‐order finite volume element methods based on Barlow points for one‐dimensional elliptic and parabolic problems
• A two-grid finite element method for nonlinear parabolic integro-differential equations
• The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach

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