Finite Time Stability Results for Neural Networks Described by Variable-Order Fractional Difference Equations
نویسندگان
چکیده
Variable-order fractional discrete calculus is a new and unexplored part of that provides extraordinary capabilities for simulating multidisciplinary processes. Recognizing this incredible potential, the scientific community has been researching variable-order applications to modeling engineering physical systems. This research makes contribution topic by describing establishing first generalized variable order Gronwall inequality we employ examine finite time stability nonlinear Nabla neural networks. followed specific version described using Mittag–Leffler functions. A represented functions shown. As an application, utilizing contracting mapping principle approaches, sufficient conditions are developed assure existence, uniqueness, finite-time equilibrium point suggested Numerical examples, as well simulations, provided show how key findings can be applied.
منابع مشابه
Finite difference Schemes for Variable-Order Time fractional Diffusion equation
Variable-order fractional diffusion equation model is a recently developed and promising approach to characterize time-dependent or concentration-dependent anomalous diffusion, or diffusion process in inhomogeneous porous media. To further study the properties of variableorder time fractional subdiffusion equation models, the efficient numerical schemes are urgently needed. This paper investiga...
متن کاملThe Stability of Non-standard Finite Difference Scheme for Solution of Partial Differential Equations of Fractional Order
Fractional derivatives and integrals are new concepts of derivatives and integrals of arbitrary order. Partial differential equations whose derivatives can be of fractional order are called fractional partial differential equations (FPDEs). Recently, these equations have received special attention due to their high practical applications. In this paper, we survey a rather general case of FPDE t...
متن کاملA finite difference technique for solving variable-order fractional integro-differential equations
In this article, we use a finite difference technique to solve variable-order fractional integro-differential equations (VOFIDEs, for short). In these equations, the variable-order fractional integration(VOFI) and variable-order fractional derivative (VOFD) are described in the Riemann-Liouville's and Caputo's sense,respectively. Numerical experiments, consisting of two exam...
متن کاملa finite difference technique for solving variable-order fractional integro-differential equations
in this article, we use a finite difference technique to solve variable-order fractional integro-differential equations (vofides, for short). in these equations, the variable-order fractional integration(vofi) and variable-order fractional derivative (vofd) are described in the riemann-liouville's and caputo's sense,respectively. numerical experiments, consisting of two exam...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2023
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract7080616