Results 21 to 30 of about 1,624,926 (272)

Stability of solutions to impulsive Caputo fractional differential equations

Electronic Journal of Differential Equations, 2016
Stability of the solutions to a nonlinear impulsive Caputo fractional differential equation is studied using Lyapunov like functions. The derivative of piecewise continuous Lyapunov functions among the nonlinear impulsive Caputo differential equation ...
Ravi Agarwal, Snezhana Hristova, Donal O'Regan   +2 more
doaj   +2 more sources

Applications of Lyapunov Functions to Caputo Fractional Differential Equations

Mathematics, 2018
One approach to study various stability properties of solutions of nonlinear Caputo fractional differential equations is based on using Lyapunov like functions.
Ravi Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
doaj   +2 more sources

A Caputo–Fabrizio Fractional-Order Model of HIV/AIDS with a Treatment Compartment: Sensitivity Analysis and Optimal Control Strategies

Entropy, 2021
Although most of the early research studies on fractional-order systems were based on the Caputo or Riemann–Liouville fractional-order derivatives, it has recently been proven that these methods have some drawbacks. For instance, kernels of these methods
Hua Wang, Hadi Jahanshahi, Miao-Kun Wang, Stelios Bekiros, Jinping Liu, Ayman A. Aly   +5 more
doaj   +2 more sources

A New Generalized Definition of Fractional Derivative with Non-Singular Kernel

Computation, 2020
This paper proposes a new definition of fractional derivative with non-singular kernel in the sense of Caputo which generalizes various forms existing in the literature. Furthermore, the version in the sense of Riemann–Liouville is defined.
Khalid Hattaf
doaj   +2 more sources

Existence of Solutions for Anti-Periodic Fractional Differential Inclusions Involving ψ-Riesz-Caputo Fractional Derivative

Mathematics, 2019
In this paper, we investigate the existence of solutions for a class of anti-periodic fractional differential inclusions with ψ -Riesz-Caputo fractional derivative. A new definition of ψ -Riesz-Caputo fractional derivative of order
Dandan Yang, Chuanzhi Bai
doaj   +2 more sources

Mathematical Modeling of Time-Fractional Maxwell’s Equations on a Magnetothermoelastic Half-Space Under Green–Naghdi Theorems and of Caputo Definition

Mathematics
This study presents a novel mathematical model of a generalized magnetothermoelastic half-space based on the Green–Naghdi theorem, namely type-I and type-III. The half-space surface undergoes ramp-type heating and is positioned on a sturdy base to prevent movement.
Hamd M. Youssef
openaire   +3 more sources

A Mathematical Modeling of Time-Fractional Maxwell’s Equations Under the Caputo Definition of a Magnetothermoelastic Half-Space Based on the Green–Lindsy Thermoelastic Theorem

Mathematics
This study has established and resolved a new mathematical model of a homogeneous, generalized, magnetothermoelastic half-space with a thermally loaded bounding surface, subjected to ramp-type heating and supported by a solid foundation where these types of mathematical models have been widely used in many sciences, such as geophysics and aerospace ...
Eman A. N. Al-Lehaibi
openaire   +3 more sources

Solving intuitionistic fuzzy fractional differential equations with $\psi$-Caputo fractional derivative

Researches in Mathematics
In this research paper, we have attempted to establish the definition of the fractional derivative $\psi$-Caputo, the $\psi $-fractional integral, and the $\psi$-Laplace transform in the fuzzy intuitionistic sense, along with their properties ...
K. Oufkir, H. Sadiki, M. Elomari
doaj   +2 more sources

Caputo Barrier Functions and Their Applications to the Safety, Safety-and-Stability, and Input-to-State Safety of a Class of Fractional-Order Systems

Mathematics
Safety control based on barrier functions has gradually become one of the emerging and more important directions in the field of safety. Scholars are attempting to apply barrier functions to integer-order dynamical systems, such as general nonlinear ...
Zheren Zhu, Bingbing Shen, Le Yao, Yi Chai, Zhihuan Song   +4 more
doaj   +2 more sources

A Mathematical Model Analysis of COVID-19 Transmission with Vaccination in Caputo Fractional Derivatives: Case Study in Indonesia

JTAM (Jurnal Teori dan Aplikasi Matematika)
This study aims to investigate a fractional-order mathematical model of COVID-19 transmission using the Caputo derivative definition which suitable to epidemiological cases by its advantage to explain memory effects.
Muhammad Rifki Nisardi, Kasbawati Kasbawati, Khaeruddin Khaeruddin   +2 more
doaj   +2 more sources