Results 1 to 10 of about 1,335 (93)

Nonlinear Integro-Differential Equations

Journal of Mathematical Extension, 2010
. In this paper,the continuse Legendre wavelets constructed on the interval [0, 1] are used to solve the nonlinear Fredholm integrodifferential equation.
S. Mahdavi∗, M. Tavassoli Kajani
doaj   +2 more sources

Integro-differential equations with bounded operators in Banach spaces [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
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Extensions of some differential inequalities for fractional integro-differential equations via upper and lower solutions [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
This paper deals with some differential inequalities for generalized fractional integro-differential equations by using the technique of upper and lower solutions. The fractional differential operator is taken in Caputo’s sense and the nonlinear
A. Yakar, H. Kutlay
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UniFIDES: Universal fractional integro-differential equations solver

APL Machine Learning
The development of data-driven approaches for solving differential equations has led to numerous applications in science and engineering across many disciplines and remains a central focus of active scientific inquiry.
Milad Saadat, Deepak Mangal, Safa Jamali
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On a New Class of Singular Integro-differential Equations

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
doaj   +1 more source

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

Mathematics, 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
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A Note on Existence of Mild Solutions for Second-Order Neutral Integro-Differential Evolution Equations with State-Dependent Delay

Fractal and Fractional, 2021
This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour, Hernán R. Henríquez, Velusamy Vijayakumar, Kottakkaran Sooppy Nisar, Anurag Shukla   +4 more
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On the De Blasi Measure of Noncompactness and Solvability of a Delay Quadratic Functional Integro-Differential Equation

Mathematics, 2022
Quadratic integro-differential equations have been discussed in many works, for instance. Some analytic results on the existence and the uniqueness of problem solutions to quadratic integro-differential equations have been investigated in different ...
Ahmed M. A. El-Sayed, Eman M. A. Hamdallah, Malak M. S. Ba-Ali   +2 more
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Numerical solution of some class of integro-differential equations by using legendre-bernstein basis [PDF]

Journal of Hyperstructures, 2014
In this article, a numerical method is developed to solve the linear integro-differential equations. To this end, it will be divided in two forms, Fredholm integro-differential equations (FIDE) and Volterra integro-differential equations (VIDE). So that,
sasan Fathi, F. Mirzaee
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A numerical technique based on operational matrices for solving nonlinear integro-differential equations [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2014
This paper presents a computational method for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear fractional order integro-differential equations.
A. Golbabai
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