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1
On existence and uniqueness results for iterative mixed integrodifferential equation of fractional order
Unhale S. I., Kendre Subhash D.
Journal of Applied Analysis
|
2020
|
Vol. 26, nr 2
263--272
EN
The objective of this work is to study the local existence, uniqueness, stability and other properties of solutions of iterative mixed integrodifferential equations of fractional order. The Successive Approximation Method is applied for the numerical solution of iterative mixed integrodifferential equations of fractional order.
2
Content available Application of the Taylor differential transformation for solving the integro-differential equations
Grzymkowski R., Pleszczyński M.
Silesian Journal of Pure and Applied Mathematics
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2018
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Vol. 8, iss. 1
33--48
EN
A method of solving the integro-differential equations is presented. The discussed equations will be solved by the Taylor differential transformation. By using appropriate properties of this transformation the integro-differential equation will be transformed to a respective recurrence equation. Unfortunately, the high degree of generality and complexity of such defined problem does not allow to obtain the solution in general form. Each equation requires a special method of solution.
3
On a nonlinear dynamic integrodifferential equation on time scales
Pachpatte D. B.
Journal of Applied Analysis
|
2010
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Vol. 16, nr 2
279-294
EN
The main objective of the present paper is to study some basic qualitative properties of solutions of a certain nonlinear integrodifferential equation on time scales. The tools employed in the analysis are based on the applications of the Banach fixed point theorem and a certain inequality with explicit estimate on time scales.
4
Content available remote Approximate solutions of a certain second order integrodifferential equation
Pachpatte B. G.
Fasciculi Mathematici
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2010
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Nr 45
99-109
EN
The main aim of this paper is to study the approximate solutions of a certain second order Volterra type integrodifferential equation with given initial values. A variant of a certain basic integral inequality with explicit estimate is used to establish the results.
5
Electron plasma upper hybrid kinetic symmetries
Taranov V. B., Zawistowski Z. J.
Journal of Technical Physics
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2003
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Vol. 44, no 3
303-309
EN
Symmetry group of integro-difFerential equations describing nonlinear upper hybrid waves in magnetized electron plasma is found. It is shown that the extension of the symmetry in the cold plasma limit allows us to build the general solution in this case.
6
Content available remote A note on the occurrence of integro-differential equations in engineering mechanics
Pala Y., Karadere G.
International Journal of Applied Mechanics and Engineering
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2003
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Vol. 8, no 3
503-506
EN
The study of dynamics of packages of mass m delivered from a conveyor to a smooth circular ramp of radius r is important in transport technology and engineering dynamics. The present paper is devoted to reanalysing this problem since the inclusion of frictional forces results in an integro-differential equation that in general needs the utilisation of Neumann-series. The integro-differential equation thus obtained is transformed into a first order differential equation that can easily be solved analytically.
7
Content available remote Cellular Automata and Many-Particle Systems Modeling Aggregation Behavior Among Populations
Morale D.
International Journal of Applied Mathematics and Computer Science
|
2000
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Vol. 10, no 1
157-173
EN
A cellular automaton model is presented in order to describe mutual interactions among the individuals of a population due to social decisions.The scheme is used for getting qualitative results, comparable to field experiments carried out on a population of ants which present an aggregative behavior. We also present a second description of a biological spatially structured population of N individuals by a system of stochastic differential equations of Ito type. A 'law of large numbers' to a continuum dynamics described by an integro-differential equation is given.
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