Results 11 to 20 of about 503,688 (304)

On a three step crisis integro-differential equation

open access: yesAdvances in Difference Equations, 2019
One of the interesting fractional integro-differential equations is the three step crisis equation which has been reviewed recently. In this paper, we investigate the existence of solutions for a three step crisis fractional integro-differential equation
Dumitru Baleanu   +2 more
doaj   +2 more sources

A problem with parameter for the integro-differential equations

open access: yesMathematical Modelling and Analysis, 2021
The article proposes a numerically approximate method for solving a boundary value problem for an integro-differential equation with a parameter and considers its convergence, stability, and accuracy. The integro-differential equation with a parameter is
Elmira A. Bakirova   +2 more
doaj   +5 more sources

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

On a second-order integro-differential equation with difference kernels and power nonlinearity [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The article studies a second-order integro-differential equation with difference kernels and power nonlinearity. A connection is established between this equation and an integral equation of the convolution type, which arises when describing the ...
S.N. Askhabov
doaj   +2 more sources

On Solvability of Integro-Differential Equations [PDF]

open access: yesPotential Analysis, 2020
AbstractA class of (possibly) degenerate integro-differential equations of parabolic type is considered, which includes the Kolmogorov equations for jump diffusions. Existence and uniqueness of the solutions are established in Bessel potential spaces and in Sobolev-Slobodeckij spaces.
Marta De León-Contreras   +2 more
openaire   +3 more sources

Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
The question of the existence of a solution of linear integro-differential systems of parabolic type limited on the semiaxis in a spatial variable and multiperiodic in time variables was considered. Sufficient conditions of multiperiodic oscillations in
Zh.A. Sartabanov, G.M. Aitenova
doaj   +2 more sources

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

The Bernstein Technique for Integro-Differential Equations [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2022
We extend the classical Bernstein technique to the setting of integro-differential operators. As a consequence, we provide first and one-sided second derivative estimates for solutions to fractional equations, including some convex fully nonlinear equations of order smaller than two -- for which we prove uniform estimates as their order approaches two.
Cabré Vilagut, Xavier   +2 more
openaire   +4 more sources

Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel

open access: yesComputational and Applied Mathematics, 2022
This research apparatuses an approximate spectral method for the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel (TFPIDE).
A. G. Atta, Youssri Hassan Youssri
semanticscholar   +1 more source

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

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