Results 61 to 70 of about 42,874 (261)

Existence and uniqueness of mild solutions for nonlinear hybrid Caputo fractional integro-differential equations via fixed point theorems

open access: yesResults in Nonlinear Analysis, 2021
We prove the existence and uniqueness of mild solutions for initial value problems of nonlinear hybrid first order Caputo fractional integro-differential equations. The main tool employed here is the Krasnoselskii and Banach fixed point theorems.
Abderrahim Guerfi, Abdelouaheb Ardjouni
doaj   +1 more source

Neumann Homogenization via Integro-Differential Operators, Part 2: singular gradient dependence

open access: yes, 2018
We continue the program initiated in a previous work, of applying integro-differential methods to Neumann Homogenization problems. We target the case of linear periodic equations with a singular drift, which includes (with some regularity assumptions ...
Guillen, Nestor, Schwab, Russell W.
core   +1 more source

Integro‐Differential Equations in Angular Stabilization of Drone's Motion by Distributed Feedback Control

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we propose angular stabilization of drone's motion using distributed feedback control in the form of an integral operator. It should be stressed that the memory of this integral operator could be unbounded. It is intuitively clear that large length of the observation time opens new possibilities to construct better control based
Alexander Domoshnitsky   +2 more
wiley   +1 more source

Parameter Estimation for Several Types of Linear Partial Differential Equations Based on Gaussian Processes

open access: yesFractal and Fractional, 2022
This paper mainly considers the parameter estimation problem for several types of differential equations controlled by linear operators, which may be partial differential, integro-differential and fractional order operators. Under the idea of data-driven
Wenbo Zhang, Wei Gu
doaj   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

open access: yesOptimal Control Applications and Methods, EarlyView.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja   +3 more
wiley   +1 more source

Numerical studies for solving fractional integro-differential equations

open access: yesJournal of Ocean Engineering and Science, 2018
In this paper, we give a new numerical method for solving a linear system of fractional integro-differential equations. The fractional derivative is considered in the Caputo sense.
A.M.S. Mahdy
doaj   +1 more source

On a new class of integro-differential equations [PDF]

open access: yesJournal of Integral Equations and Applications, 2014
We consider various initial-value problems for ordinary integro-differential equations of first order that are characterized by convolution-terms, where all factors depend on the solutions of the equations. Applications of such problems are descriptions of certain glass-transition phenomena based on mode-coupling theory, for instance.
openaire   +4 more sources

Implications of Tobacco Use on Pathogen‐Driven Diseases: A Public Health and Policy Perspective

open access: yesWorld Medical &Health Policy, EarlyView.
ABSTRACT The tobacco epidemic remains one of the most significant global public health challenges, responsible for over 8 million deaths annually, with a substantial portion occurring among non‐smokers exposed to second‐hand smoke. While cigarette smoking remains the most prevalent form of tobacco use worldwide, the rise of electronic nicotine delivery
Nadine Kabbani, James L. Olds
wiley   +1 more source

Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations

open access: yesAxioms, 2019
Different results regarding different integro-differentials are usually not properly generalized, as they often do not satisfy some of the constraints.
Shin Min Kang   +3 more
doaj   +1 more source

A hybrid technique for approximating the solution of fractional order integro differential equations

open access: yesPartial Differential Equations in Applied Mathematics, 2023
In this article, we present an effective approach for solving nonlinear fractional order integro-differential equations. The fractional order derivative will be in the Caputo sense.
Noor A. Abdulhameed   +2 more
doaj   +1 more source

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