Abstract
This paper is concerned with the continuous dependence of mild solutions on initial values and orders for a general class of initial boundary-value problem to fractional extended Fisher–Kolmogorov equation. The results obtained in this paper can be considered as a contribution to this emerging field.
Funding statement: Research supported by NNSF of China (11501455), NNSF of China (11661071), Key project of Gansu Provincial National Science Foundation (1606RJZA015) and Project of NWNU-LKQN-14-6.
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Numerical Treatment of the Modified Burgers’ Equation via Backward Differentiation Formulas of Orders Two and Three
- Return Mapping Algorithms (RMAs) for Two-Yield Surface Thermoviscoplastic Models Using the Consistent Tangent Operator
- Synchronization of Multiple Mechanical Oscillators Under Noisy Measurements Signals and Mismatch Parameters
- Nonlinear Wave Modulation in Nanorods Using Nonlocal Elasticity Theory
- Asymptotic Behavior of the Fractional Order three Species Prey–Predator Model
- Continuous Dependence on Data for Solutions of Fractional Extended Fisher–Kolmogorov Equation
- L-stable Explicit Nonlinear Method with Constant and Variable Step-size Formulation for Solving Initial Value Problems
- Weakness and Mittag–Leffler Stability of Solutions for Time-Fractional Keller–Segel Models
- Stability Analysis of Multi-point Boundary Value Problem for Sequential Fractional Differential Equations with Non-instantaneous Impulses
- Existence and Uniqueness of Classical and Mild Solutions of Generalized Impulsive Evolution Equation
- A Collocation Method Based on Jacobi and Fractional Order Jacobi Basis Functions for Multi-Dimensional Distributed-Order Diffusion Equations
- Two-Dimensional Legendre Wavelets for Solving Variable-Order Fractional Nonlinear Advection-Diffusion Equation with Variable Coefficients
Artikel in diesem Heft
- Frontmatter
- Numerical Treatment of the Modified Burgers’ Equation via Backward Differentiation Formulas of Orders Two and Three
- Return Mapping Algorithms (RMAs) for Two-Yield Surface Thermoviscoplastic Models Using the Consistent Tangent Operator
- Synchronization of Multiple Mechanical Oscillators Under Noisy Measurements Signals and Mismatch Parameters
- Nonlinear Wave Modulation in Nanorods Using Nonlocal Elasticity Theory
- Asymptotic Behavior of the Fractional Order three Species Prey–Predator Model
- Continuous Dependence on Data for Solutions of Fractional Extended Fisher–Kolmogorov Equation
- L-stable Explicit Nonlinear Method with Constant and Variable Step-size Formulation for Solving Initial Value Problems
- Weakness and Mittag–Leffler Stability of Solutions for Time-Fractional Keller–Segel Models
- Stability Analysis of Multi-point Boundary Value Problem for Sequential Fractional Differential Equations with Non-instantaneous Impulses
- Existence and Uniqueness of Classical and Mild Solutions of Generalized Impulsive Evolution Equation
- A Collocation Method Based on Jacobi and Fractional Order Jacobi Basis Functions for Multi-Dimensional Distributed-Order Diffusion Equations
- Two-Dimensional Legendre Wavelets for Solving Variable-Order Fractional Nonlinear Advection-Diffusion Equation with Variable Coefficients