Results 251 to 260 of about 502,735 (301)

A fast collocation method for solving the weakly singular fractional integro-differential equation

Computational and Applied Mathematics, 2022
M. Taghipour, H. Aminikhah
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Fractional Integro-Differential Equations

2018
Fractional calculus is a generalization of the classical differentiation and integration of non-integer order. Fractional calculus is as old as differential calculus.
Toka Diagana, Toka Diagana, Toka Diagana
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The Solution of the Nonlinear Mixed Partial Integro-differential Equation via Two-Dimensional Hybrid Functions

Mediterranean Journal of Mathematics, 2022
Yaser Rostami, K. Maleknejad
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A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation

Mediterranean Journal of Mathematics, 2021
M. Durmaz, G. M. Amiraliyev
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On a class of integro-differential equations

Mathematical Proceedings of the Cambridge Philosophical Society, 1944
We are concerned in this paper with linear integro-differential equations of the form*andwhere kr(y) are given functions with bounded variation in any finite interval, g(x) is known, and f(x) is to be determined.
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A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation

Advances in Computational Mathematics, 2021
L. Qiao, Da Xu
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Determining of Coefficients and the Classical Solvability of a Nonlocal Boundary-Value Problem for the Benney–Luke Integro-Differential Equation with Degenerate Kernel

Journal of Mathematical Sciences, 2021
T. Yuldashev
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Fredholm integro-differential equation

Journal of Soviet Mathematics, 1993
We consider numerical solution of an integro-differential equation with nonsmooth initspaial values. Unique solvability in Sobolev spaceW2α(0, 1), α=1,2, is proved. We establish the rate of convergence of the approximate solution to the exact solution in fractional spacesW2α+1, 0≤α≤1, with approximation order O(h+α+1/2) for 0≤α≤1/2 andO(hα+1⦵|ln h|δ1/2,
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Symmetries of integro-differential equations

Reports on Mathematical Physics, 2001
Abstract A new general method is presented for the determination of Lie symmetry groups of integro-differential equations. The suggested method is a natural extension of the Ovsiannikov method developed for differential equations. The method leads to important applications for instance to the Vlasov—Maxwell equations.
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On a System of Integro-Differential Equations

SIAM Journal on Applied Mathematics, 1971
In this paper a system of integro-differential equations arising in reactor dynamics is studied. To obtain existence theorems and some qualitative properties of the solution we use methods of functional analysis, specifically, the theory of strongly continuous semigroups of operators on a Banach space. In Appendix A, a lemma is proved about convergence
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