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Stability Analysis for Discrete Time Abstract Fractional Differential Equations by Jia Wei He; Yong Zhou is a Mathematics article available to read on EtoBox.
What is Stability Analysis for Discrete Time Abstract Fractional Differential Equations about?
Abstract In this paper, we consider a discrete-time fractional model of abstract form involving the Riemann-Liouville-like difference operator. On account of the C 0-semigroups generated by a closed linear operator A and based on a distinguished class of sequences of operators, we show the existence of stable solutions for the nonlinear Cauchy problem by means of fixed point technique and the compact method. Moreover, we also establish the Ulam-Hyers-Rassias stability of the proposed problem. Two examples are presented to explain the main results.
Who reads Stability Analysis for Discrete Time Abstract Fractional Differential Equations?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jia Wei He; Yong Zhou
- Publisher
- Springer Science and Business Media LLC
- Published
- 2021
- Language
- EN
- Field
- Mathematics (Physical Sciences)