Ground state solutions of a fractional advection–dispersion equation
Copyright policy )Ground state solutions of a fractional advection–dispersion equation
In this paper, a class of fractional Sturm–Liouville advection–dispersion equations with instantaneous and noninstantaneous impulsive boundary conditions is considered. At the beginning, the existence of at least one nontrivial ground state solution is proved by the method of Nehari manifold without the Ambrosetti–Rabinowitz condition. Then, the existence of infinitely many nontrivial weak solutions is obtained by using the genus properties. Finally, an example is given to illustrate the main results obtained in this paper.
- Jiangsu Second Normal University China (People's Republic of)
- Nanjing University of Aeronautics and Astronautics China (People's Republic of)
Sturm-Liouville conditions, Sturm-Liouville theory, ground state solution, Boundary value problems with impulses for ordinary differential equations, Nehari manifold, fractional advection-dispersion equation, genus properties, Fractional ordinary differential equations, instantaneous and noninstantaneous impulses
Sturm-Liouville conditions, Sturm-Liouville theory, ground state solution, Boundary value problems with impulses for ordinary differential equations, Nehari manifold, fractional advection-dispersion equation, genus properties, Fractional ordinary differential equations, instantaneous and noninstantaneous impulses
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