Abdou, M., Awad, H. (2020). An asymptotic model for solving mixed integral equation in some domains. test, 28(1), 1-12. doi: 10.1186/s42787-020-00106-3
Mohamed Abdella Abdou; Hamed Kamal Awad. "An asymptotic model for solving mixed integral equation in some domains". test, 28, 1, 2020, 1-12. doi: 10.1186/s42787-020-00106-3
Abdou, M., Awad, H. (2020). 'An asymptotic model for solving mixed integral equation in some domains', test, 28(1), pp. 1-12. doi: 10.1186/s42787-020-00106-3
Abdou, M., Awad, H. An asymptotic model for solving mixed integral equation in some domains. test, 2020; 28(1): 1-12. doi: 10.1186/s42787-020-00106-3

An asymptotic model for solving mixed integral equation in some domains

Journal of the Egyptian Mathematical Society
Volume 28, Issue 1, June 2020, Pages 1-12    PDF (1.98 M)
DOI: 10.1186/s42787-020-00106-3
Authors
Mohamed Abdella Abdou; Hamed Kamal Awad
Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt
Abstract
In this paper, we discuss the solution of mixed integral equation with generalized
potential function in position and the kernel of Volterra integral term in time. The
solution will be discussed in the space L2(�) × C[0, T ],0 ≤ t ≤ T < 1, where  is the
domain of position and t is the time. The mixed integral equation is established from
the axisymmetric problems in the theory of elasticity. Many special cases when kernel
takes the potential function, Carleman function, the elliptic function and logarithmic
function will be established.

Keywords
The mixed integral equation; Generalized potential function; Hypergeometric kernel; Carleman kernel; Logarithmic kernel
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