Add to ORKGIn this work we will explore a fractional self-adjoint difference equation which involves a Caputo fractional difference. In particular, we will develop a Cauchy function for initial value problems and Green\u27s functions for several different types of boundary value problems. We will use the properties of those Green\u27s functions and the Contraction Mapping Theorem to find sufficient conditions for when a nonlinear boundary value problem has a unique solution. We will also investigate the existence of nonnegative solutions for a nonlinear self-adjoint difference that have particular long run behavior. Adviser: Allan Peterso
In this dissertation we develop a fractional difference calculus for functions on a discrete domain....
Lyapunov inequalities have many applications for studying solutions to boundary value problems. In p...
Lyapunov inequalities have many applications for studying solutions to boundary value problems. In p...
In this work we will explore a fractional self-adjoint difference equation which involves a Caputo f...
In this work we will explore a fractional self-adjoint difference equation which involves a Caputo f...
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation,...
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation,...
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation,...
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation....
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation....
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation....
In this dissertation we develop a fractional difference calculus for functions on a discrete domain....
In this dissertation we develop a fractional difference calculus for functions on a discrete domain....
In this dissertation we develop a fractional difference calculus for functions on a discrete domain....
Boundary value problems have long been of interest in the continuous differential equations context....
In this dissertation we develop a fractional difference calculus for functions on a discrete domain....
Lyapunov inequalities have many applications for studying solutions to boundary value problems. In p...
Lyapunov inequalities have many applications for studying solutions to boundary value problems. In p...
In this work we will explore a fractional self-adjoint difference equation which involves a Caputo f...
In this work we will explore a fractional self-adjoint difference equation which involves a Caputo f...
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation,...
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation,...
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation,...
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation....
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation....
In this dissertation we develop the theory of the nabla fractional self-adjoint difference equation....
In this dissertation we develop a fractional difference calculus for functions on a discrete domain....
In this dissertation we develop a fractional difference calculus for functions on a discrete domain....
In this dissertation we develop a fractional difference calculus for functions on a discrete domain....
Boundary value problems have long been of interest in the continuous differential equations context....
In this dissertation we develop a fractional difference calculus for functions on a discrete domain....
Lyapunov inequalities have many applications for studying solutions to boundary value problems. In p...
Lyapunov inequalities have many applications for studying solutions to boundary value problems. In p...