Zhuyan Shao
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View article: On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals
On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals Open
In this paper, the existence result of at least two positive solutions is obtained for a nonlinear Riemann-Liouville fractional differential equation subject to nonlocal boundary conditions, where fractional derivatives and Riemann-Stieltj…
View article: Coupled Orbit-Attitude Dynamics of Tethered-SPS
Coupled Orbit-Attitude Dynamics of Tethered-SPS Open
In this paper, a dynamic model for long-term on-orbit operation of the tethered solar power satellite (Tethered-SPS) is established. Because the Tethered-SPS is a super-large and super-flexible structure, the coupling among the orbit, atti…
View article: Exact Combined Solutions for the (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>)-Dimensional Dispersive Long Water-Wave Equations
Exact Combined Solutions for the ()-Dimensional Dispersive Long Water-Wave Equations Open
The homogeneous balance of undetermined coefficient (HBUC) method is presented to obtain not only the linear, bilinear, or homogeneous forms but also the exact traveling wave solutions of nonlinear partial differential equations. Linear eq…
View article: Multi-symplectic integrator of the generalized KdV-type equation based on the variational principle
Multi-symplectic integrator of the generalized KdV-type equation based on the variational principle Open
The variational principle is used to construct a multi-symplectic structure of the generalized KdV-type equation. Accordingly, the local energy conservation law, the local momentum conservation law, and the Cartan form of the generalized K…
View article: Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives
Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives Open
In this paper, by means of Leggett–Williams and Guo–Krasnosel'skii fixed point theorems, together with height functions of the nonlinearity on different bounded sets, triple positive solutions are obtained for some fractional differential …
View article: Positive solutions for singular higher-order semipositone fractional differential equations with conjugate type integral conditions
Positive solutions for singular higher-order semipositone fractional differential equations with conjugate type integral conditions Open
In this article, height functions on different bounded sets of the nonlinear term and their integrations are considered to obtain the existence of positive solutions for a class of semipositone higher-order fractional differential equation…