Results 21 to 30 of about 503,688 (304)

On the Fundamental Analyses of Solutions to Nonlinear Integro-Differential Equations of the Second Order

open access: yesMathematics, 2022
In this article, a scalar nonlinear integro-differential equation of second order and a non-linear system of integro-differential equations with infinite delays are considered.
Cemil Tunç, Osman Tunç
doaj   +1 more source

On the Nonlinear Integro-Differential Equations

open access: yesFractal and Fractional, 2021
The goal of this paper is to study the uniqueness of solutions of several nonlinear Liouville–Caputo integro-differential equations with variable coefficients and initial conditions, as well as an associated coupled system in Banach spaces. The results derived are new and based on Banach’s contractive principle, the multivariate Mittag–Leffler function
Chenkuan Li, Joshua Beaudin
openaire   +3 more sources

Neural Integro-Differential Equations

open access: yesProceedings of the AAAI Conference on Artificial Intelligence, 2023
Modeling continuous dynamical systems from discretely sampled observations is a fundamental problem in data science. Often, such dynamics are the result of non-local processes that present an integral over time. As such, these systems are modeled with Integro-Differential Equations (IDEs); generalizations of differential equations that comprise both an
Zappala, Emanuele   +6 more
openaire   +2 more sources

Haar Wavelet Method for the Numerical Solution of Nonlinear Fredholm Integro-Differential Equations [PDF]

open access: yesمجلة التربية والعلم, 2023
The solution of nonlinear Fredholm integro-differential equations plays a significant role in analyzing many nonlinear events that occur in chemistry, physics, mathematical biology, and a variety of other fields of science and engineering.
Najem A. Mohammad   +2 more
doaj   +1 more source

Stabilizability of integro-differential parabolic equations [PDF]

open access: bronzeJournal of Integral Equations and Applications, 1990
Giuseppe Da Prato, Alessandra Lunardi
openalex   +3 more sources

On the existence of solutions for a multi-singular pointwise defined fractional q-integro-differential equation

open access: yesBoundary Value Problems, 2020
By using the Caputo type and the Riemann–Liouville type fractional q-derivative, we investigate the existence of solutions for a multi-term pointwise defined fractional q-integro-differential equation with some boundary value conditions. In fact, we give
S. Rezapour, M. Samei
semanticscholar   +1 more source

On the Stability of Delay Integro-Differential Equations [PDF]

open access: yesMathematical and Computational Applications, 2007
Some new stability results are given for a delay integro-differential equation. A basis theorem on the behavior of solutions of delay integro-differential equations is established. As a consequence of this theorem, a stability criterion is obtained.
YALÇINBAŞ, SALİH   +1 more
openaire   +2 more sources

On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper deals with the second boundary value problem for the loaded heat equation in the first quadrant.
M.T. Kosmakova   +2 more
doaj   +3 more sources

Inverse Problem for a Mixed Type Integro-Differential Equation with Fractional Order Caputo Operators and Spectral Parameters

open access: yesAxioms, 2020
The questions of the one-value solvability of an inverse boundary value problem for a mixed type integro-differential equation with Caputo operators of different fractional orders and spectral parameters are considered.
T. Yuldashev, E. Karimov
semanticscholar   +1 more source

Best approximation of a nonlinear fractional Volterra integro-differential equation in matrix MB-space

open access: yesAdvances in Difference Equations, 2021
In this article, we introduce a class of stochastic matrix control functions to stabilize a nonlinear fractional Volterra integro-differential equation with Ψ-Hilfer fractional derivative.
Reza Chaharpashlou, Reza Saadati
doaj   +1 more source

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