Existence Results for Nonlinear Fractional Difference Equation

By Fulai Chen, Xiannan Luo, Yong Zhou. 2011

182 citations recorded by the source corpus.

This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence results of solutions are obtained. An example is also provided to illustrate our main result.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/c865cd16f855867e8b25acfc4c3a3a0a876aa009

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Fulai Chen
2. Q. Al‐Mdallal
3. Raghib M. Abu-Saris

In Modeling and Simulation

1. Fulai Chen
2. Q. Al‐Mdallal
3. Raghib M. Abu-Saris

In Numerical Analysis

1. Fulai Chen

Citations in the corpus

• Fixed points and asymptotic stability of nonlinear fractional difference equations (2011, background): “s=1−α (t − s − 1)(α−1) = Γ(t+α) αΓ(t) ([12], Lemma 2.”
• Discrete chaos in fractional delayed logistic maps (2015, unknown): “[15–21] and the references therein).”