Results 11 to 20 of about 485,712 (256)
New exact and numerical solutions with their stability for Ito integro-differential equation via Riccati–Bernoulli sub-ODE method [PDF]
Journal of Taibah University for Science, 2020 This paper points out several exact travelling wave solutions for $(1+1) $(1+1)-dimensional Ito integro-differential equation via the Riccati–Bernoulli sub-ODE approach. We also aim to develop a numerical solution of the respective equation using central
Abdulghani Alharbi +1 more
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On a three step crisis integro-differential equation
Advances 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
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A problem with parameter for the integro-differential equations
Mathematical 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
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On the qualitative behaviors of Volterra-Fredholm integro differential equations with multiple time-varying delays [PDF]
Arab Journal of Basic and Applied SciencesThis article considers a Volterra-Fredholm integro-differential equation including multiple time-varying delays. The aim of this article is to study the uniqueness of solution, the Ulam–Hyers–Rassias stability and the Ulam–Hyers stability of the Volterra-
Cemil Tunç, Osman Tunç
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Nonlinear Integro-Differential Equations
Journal of Mathematical Extension, 2010 Summary: The continuous Legendre wavelets constructed on the interval \([0,1]\) are used to solve the nonlinear Fredholm integrodifferential equation. The nonlinear part of integro-differential is approximated by Legendre wavelets, and the nonlinear integro-differential is reduced to a system of nonlinear equations.
S. Mahdavi∗, M. Tavassoli Kajani
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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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On a second-order integro-differential equation with difference kernels and power nonlinearity [PDF]
Қарағанды 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
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On Solvability of Integro-Differential Equations [PDF]
Potential 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
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Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type [PDF]
Қарағанды 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
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Ulam Stability of n-th Order Delay Integro-Differential Equations
Mathematics, 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
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