Abstract
In this paper, by using variational methods and a critical point theorem due to Bonanno and Marano, the existence of at least three weak solutions is obtained for a class of p-Laplacian type nonlinear fractional coupled systems depending on two parameters. Two examples are given to illustrate the applications of our main results.
Acknowledgements:
This work is supported by the National Natural Science Foundation of China (Grant No: 11572148, 11872201), the Postgraduate Research & Practice Innovation Program of Jiangsu Province (Grant No: KYCX18\_0242) and the Nanjing University of Aeronautics and Astronautics PhD short-term visiting scholar project (Grant No. 190108DF08).
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Articles in the same Issue
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- Pulse Inputs Affect Timings of Spikes in Neurons with or Without Time Delays
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Modeling the Effects of Health Education and Early Therapy on Tuberculosis Transmission Dynamics
- Pulse Inputs Affect Timings of Spikes in Neurons with or Without Time Delays
- Stability Analysis of a Mathematical Model for Glioma-Immune Interaction under Optimal Therapy
- Kinetic Flux Vector Splitting Method for Numerical Study of Two-dimensional Ripa Model
- Remarks on the Covering of the Possible Motion Area by Solutions in Rigid Body Systems
- A Riccati–Bernoulli sub-ODE Method for Some Nonlinear Evolution Equations
- New Conditions and Numerical Checking Method for the Practical Stability of Fractional Order Positive Discrete-Time Linear Systems
- Numerical Solution of Space and Time Fractional Telegraph Equation: A Meshless Approach
- Stability and Bifurcation Analysis in a Discrete-Time SIR Epidemic Model with Fractional-Order
- A General Method to Study the Co-Existence of Different Hybrid Synchronizations in Fractional-Order Chaotic Systems
- The Multiplicity of Solutions for a Class of Nonlinear Fractional Dirichlet Boundary Value Problems with p-Laplacian Type via Variational Approach
- Chaotic Contact Dynamics of Two Microbeams under Various Kinematic Hypotheses
- The Optimal Design of a Functionally Graded Corrugated Cylindrical Shell under Axisymmetric Loading
- Application of the Optimal Auxiliary Functions Method to a Permanent Magnet Synchronous Generator
- Investigation of Geometry Effect on Heat and Mass Transfer in Buoyancy Assisting with the Vertical Backward and Forward Facing Steps
- Existence of at Least One Homoclinic Solution for a Nonlinear Second-Order Difference Equation
- Some Novel Solitary Wave Characteristics for a Generalized Nonlocal Nonlinear Hirota (GNNH) Equation
- Fractional Navier–Stokes Equation from Fractional Velocity Arguments and Its Implications in Fluid Flows and Microfilaments
- Limits of Solutions to the Isentropic Euler Equations for van der Waals Gas
- Results on Controllability of Nonlinear Hilfer Fractional Stochastic System
- Effects of Different Turbulence Models on Three-Dimensional Unsteady Cavitating Flows in the Centrifugal Pump and Performance Prediction