Results 21 to 30 of about 3,055 (206)

Modelling and analysis tuberculosis (TB) model with hybrid fractional operator

Alexandria Engineering Journal, 2023
In this work, we aim to propose a hybrid fractional-order model for investigation and observation of the tuberculosis (TB) disease involving constant-proportional Caputo (CPC) operator.
Muhammad Farman, Cicik Alfiniyah, Aamir Shehzad   +2 more
doaj   +1 more source

Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition

Complexity, 2021
The Caputo conformable derivative is a new Caputo-type fractional differential operator generated by conformable derivatives. In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem
Zhongqi Peng, Yuan Li, Qi Zhang, Yimin Xue   +3 more
doaj   +1 more source

Theoretical and numerical analysis of fractal fractional model of tumor-immune interaction with two different kernels

Alexandria Engineering Journal, 2022
Fractal fractional operators in Caputo and Caputo-Fabrizio sense are being used in this manuscript to explore the interaction between the immune system and cancer cells.
Shabir Ahmad, Aman Ullah, Ali Akgül, Dumitru Baleanu   +3 more
doaj   +1 more source

Intrinsic Discontinuities in Solutions of Evolution Equations Involving Fractional Caputo–Fabrizio and Atangana–Baleanu Operators

Mathematics, 2020
There has been considerable recent interest in certain integral transform operators with non-singular kernels and their ability to be considered as fractional derivatives.
Christopher Nicholas Angstmann, Byron Alexander Jacobs, Bruce Ian Henry, Zhuang Xu   +3 more
doaj   +1 more source

Mathematical Modeling of COVID-19 Transmission Using a Fractional Order Derivative

Fractal and Fractional, 2022
In this article, the mathematical model of COVID-19 is analyzed in the sense of a fractional order Caputo operator with the consideration of an asymptomatic class. The suggested model is comprised of four compartments. The results from fixed point theory
Badr S. Alkahtani
doaj   +1 more source

Explicit Iteration and Unique Positive Solution for a Caputo-Hadamard Fractional Turbulent Flow Model

IEEE Access, 2019
Hadamard fractional calculus theory has made many scholars enthusiastic and excited because of its special logarithmic function integral kernel. In this paper, we focus on a class of Caputo-Hadamard-type fractional turbulent flow model involving $p(t)$ -
Guotao Wang, Xueyan Ren, Lihong Zhang, Bashir Ahmad   +3 more
doaj   +1 more source

A novel method for Milne-type inequalities using proportional Caputo-hybrid operator

Miskolc Mathematical Notes
In mathematics and the applied sciences, fractional calculus is a significant generalization and a very useful tool as it overcomes many limitations of classical analysis.
İzzetti̇n Demi̇r
doaj   +1 more source

On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations

Boundary Value Problems, 2017
By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional derivative.
Dumitru Baleanu, Asef Mousalou, Shahram Rezapour   +2 more
doaj   +1 more source

Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives

Journal of Function Spaces, 2021
In this paper, we have extended the model of HIV-1 infection to the fractional mathematical model using Caputo-Fabrizio and Atangana-Baleanu fractional derivative operators.
Sara Salem Alzaid, Badr Saad T. Alkahtani, Shivani Sharma, Ravi Shanker Dubey   +3 more
doaj   +1 more source

Comparative analysis of classical and Caputo models for COVID-19 spread: vaccination and stability assessment

Fixed Point Theory and Algorithms for Sciences and Engineering
Several epidemiological models use the Caputo fractional-order differential operator without establishing its significance. This study verifies a Caputo operator-based fractional-order epidemiological model of the SAIVR type. COVID-19 kills.
Asifa Tassaddiq, Sania Qureshi, Amanullah Soomro, Omar Abu Arqub, Mehmet Senol   +4 more
doaj   +1 more source