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On uniform stability and numerical simulations of complex valued neural networks involving generalized Caputo fractional order [PDF]

open access: yesScientific Reports
The dynamics and existence results of generalized Caputo fractional derivatives have been studied by several authors. Uniform stability and equilibrium in fractional-order neural networks with generalized Caputo derivatives in real-valued settings ...
Sumati Kumari Panda   +2 more
doaj   +3 more sources

Solution of a COVID-19 model via new generalized Caputo-type fractional derivatives [PDF]

open access: yesChaos, Solitons and Fractals, 2020
In this manuscript, we solve a model of the novel coronavirus (COVID-19) epidemic by using Corrector-predictor scheme. For the considered system exemplifying the model of COVID-19, the solution is established within the frame of the new generalized ...
Vedat Suat Erturk, Pushpendra Kumar
exaly   +3 more sources

A Numerical Solution of Generalized Caputo Fractional Initial Value Problems

open access: yesFractal and Fractional, 2023
In this article, the numerical adaptive predictor corrector (Apc-ABM) method is presented to solve generalized Caputo fractional initial value problems. The Apc-ABM method was utilized to establish approximate series solutions. The presented technique is
Rania Saadeh   +3 more
doaj   +2 more sources

Stability for generalized Caputo proportional fractional delay integro-differential equations

open access: yesBoundary Value Problems, 2022
A scalar nonlinear integro-differential equation with time-variable and bounded delays and generalized Caputo proportional fractional derivative is considered. The main goal of this paper is to study the stability properties of the zero solution. Results
Martin Bohner, Snezhana Hristova
doaj   +2 more sources

Convergence of solutions for perturbed and unperturbed cobweb models with generalized Caputo derivative

open access: yesBoundary Value Problems, 2022
In this paper, continuous cobweb models with a generalized Caputo derivative called Caputo–Katugampola are investigated for both supply and demand functions and their perturbations.
A. M. Nagy, S. Assidi, A. Ben Makhlouf
doaj   +2 more sources

Numerical simulation of chaotic maps with the new generalized Caputo-type fractional-order operator

open access: yesResults in Physics, 2022
This work considers a new generalized operator which is based on the application of Caputo-type fractional derivative is applied to model a number of nonlinear chaotic phenomena, such as the Oiseau mythique Bicéphale, Oiseau mythique and L’Oiseau du ...
Kolade M. Owolabi, Edson Pindza
doaj   +2 more sources

An analytical solution for the Caputo type generalized fractional evolution equation

open access: yesAlexandria Engineering Journal, 2022
The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for being the generalization of Caputo fractional derivatives, this article’s studies contribute to ...
Wannika Sawangtong, Panumart Sawangtong
doaj   +1 more source

Generalized Proportional Caputo Fractional Differential Equations with Noninstantaneous Impulses: Concepts, Integral Representations, and Ulam-Type Stability

open access: yesMathematics, 2022
The generalized proportional Caputo fractional derivative is a comparatively new type of derivative that is a generalization of the classical Caputo fractional derivative, and it gives more opportunities to adequately model complex phenomena in physics ...
Ravi Agarwal   +2 more
doaj   +1 more source

Stability of Gene Regulatory Networks Modeled by Generalized Proportional Caputo Fractional Differential Equations

open access: yesEntropy, 2022
A model of gene regulatory networks with generalized proportional Caputo fractional derivatives is set up, and stability properties are studied. Initially, some properties of absolute value Lyapunov functions and quadratic Lyapunov functions are ...
Ricardo Almeida   +3 more
doaj   +1 more source

Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives

open access: yes, 2021
A newly proposed p -Laplacian nonperiodic boundary value problem is studied in this research paper in the form of generalized Caputo fractional derivatives.
M. Matar   +5 more
semanticscholar   +1 more source

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