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- Title
On a Partial Integro-Differential Equation on Time Scales.
- Authors
Al-Naser, O. W.; Mahmood, A. H.
- Abstract
This paper aims to study the derivation of estimation of some integral inequality in three variables over time scales. The result of this estimation is used as a tool to investigate some properties for solving partial integro-differential equations with initial-boundary conditions on time scales, such as estimating the difference between two approximate solutions and the closeness between the solutions. This difference has many applications to in various scientific fields in some branches of mathematics, physics, economics, electricity, and biology. In this paper we study the problem from two points review, firstly we deal with estimating the difference between two ε-approximate solutions for the given certain nonlinear integro-differential equation with initial-boundary conditions, through which a suitable estimation for the approximate solutions can be obtained, and secondly, we provide the conditions for the closeness of solution of the problem under the study.
- Subjects
DIFFERENTIAL equations; INTEGRAL inequalities; MATHEMATICAL variables; BOUNDARY value problems; ELECTRICITY
- Publication
Journal of Education & Science, 2023, Vol 32, Issue 2, p77
- ISSN
1812-125X
- Publication type
Article
- DOI
10.33899/edusj.2023.138065.1325