Fractional approximation of broad learning system

S Wu, J Wang, H Sun, K Zhang… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Approximation ability is of much importance for neural networks. The broad learning system
(BLS)(Chen and Liu, 2018), widely used in the industry with good performance, has been …

[PDF][PDF] (k, s)-Riemann-Liouville fractional integral and applications

MZ Sarıkaya, Z Dahmanı, ME Kırıs… - Hacettepe Journal of …, 2016 - dergipark.org.tr
(k, s)-Riemann-Liouville fractional integral and applications Page 1 Hacettepe Journal of
Mathematics and Statistics Volume 45 (1) (2016), 77 – 89 (k, s)-Riemann-Liouville fractional …

[PDF][PDF] Existence theorems and Hyers–Ulam stability for a class of hybrid fractional differential equations with p-Laplacian operator

H Khan, C Tunc, W Chen, A Khan - J. Appl. Anal. Comput, 2018 - researchgate.net
In this paper, we prove necessary conditions for existence and uniqueness of solution (EUS)
as well Hyers-Ulam stability for a class of hybrid fractional differential equations (HFDEs) …

[图书][B] Intelligent mathematics: computational analysis

GA Anastassiou - 2011 - Springer
Among others knowledge can be well described and expressed in an abstract way and can
be computed using computational mathematical methods, then lead to real world …

Analytical solutions of fractional order diffusion equations by natural transform method

K Shah, H Khalil, RA Khan - Iranian Journal of Science and Technology …, 2018 - Springer
In this article, we develop an analytical method for solving fractional order partial differential
equations. Our method is the generalizations of homotopy perturbations Laplace transform …

[HTML][HTML] Fractional neural network approximation

GA Anastassiou - Computers & Mathematics with Applications, 2012 - Elsevier
Here, we study the univariate fractional quantitative approximation of real valued functions
on a compact interval by quasi-interpolation sigmoidal and hyperbolic tangent neural …

[HTML][HTML] The new solitary wave structures for the (2+ 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional …

MN Alam, C Tunç - Alexandria Engineering Journal, 2020 - Elsevier
The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation
and Schrodinger equation. We perform a new method to take some new solitary wave …

Existence and stability of a positive solution for nonlinear hybrid fractional differential equations with singularity

W Al-Sadi, H Zhenyou, A Alkhazzan - Journal of Taibah University …, 2019 - Taylor & Francis
In this paper, we will study solution existence and its stability for hybrid fractional DE with
fractional integral, fractional differential derivative and Φp-operator in Caputo sense. Our …

Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator

H Khan, Y Li, W Chen, D Baleanu, A Khan - Boundary Value Problems, 2017 - Springer
In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-
Ulam stability for a coupled system of FDEs in Caputo's sense with nonlinear p-Laplacian …

Existence uniqueness and stability of mild solutions for semilinear ψ-Caputo fractional evolution equations

A Suechoei, P Sa Ngiamsunthorn - Advances in Difference Equations, 2020 - Springer
In this paper, we study the local and global existence, and uniqueness of mild solution to
initial value problems for fractional semilinear evolution equations with compact and …