Results 1 to 10 of about 316,882 (148)

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

open access: yesҚарағанды 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
doaj   +3 more sources

Extensions of some differential inequalities for fractional integro-differential equations via upper and lower solutions [PDF]

open access: yesҚарағанды 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
doaj   +3 more sources

On a New Class of Singular Integro-differential Equations

open access: yesҚарағанды 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

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

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

open access: yesFractal 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   +4 more
doaj   +1 more source

On the De Blasi Measure of Noncompactness and Solvability of a Delay Quadratic Functional Integro-Differential Equation

open access: yesMathematics, 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   +2 more
doaj   +1 more source

A numerical technique based on operational matrices for solving nonlinear integro-differential equations [PDF]

open access: yesIranian 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
doaj   +1 more source

Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G

open access: yesAdvances in Mathematical Physics, 2022
In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G.
Daba Meshesha Gusu, Chala Bulo
doaj   +1 more source

Ulam Stability of n-th Order Delay Integro-Differential Equations

open access: yesMathematics, 2021
In this paper, the Ulam stability of an n-th order delay integro-differential equation is given. Firstly, the existence and uniqueness theorem of a solution for the delay integro-differential equation is obtained using a Lipschitz condition and the ...
Shuyi Wang, Fanwei Meng
doaj   +1 more source

Application of the Exp-Function and Generalized Kudryashov Methods for Obtaining New Exact Solutions of Certain Nonlinear Conformable Time Partial Integro-Differential Equations

open access: yesComputation, 2021
The key objective of this paper is to construct exact traveling wave solutions of the conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy equation using the Exp-function method and the (2 + 1)-dimensional conformable time ...
Supaporn Kaewta   +2 more
doaj   +1 more source

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