A parabolic transform and averaging methods for integro-partial differential equations

Volume 22, Issue 1, pp 9--15 http://dx.doi.org/10.22436/jmcs.022.01.02

Publication Date: June 05, 2020 Submission Date: March 05, 2020 Revision Date: May 11, 2020 Accteptance Date: May 16, 2020

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Authors

Mahmoud M. El-Borai - Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt. Hamed Kamal Awad - Department of Mathematics, Faculty of Science, Damanhour University, Behera, Egypt. Randa Hamdy M. Ali - Department of Mathematics, Faculty of Science, Damanhour University, Behera, Egypt.

Abstract

Averaging methods of the integro-partial differential equation is studied, without any restrictions on the characteristic form of the partial differential operators. By using the parabolic transform and the averaging methods, the integro-partial differential equation can be solved.

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Keywords

• Averaging method
• integro-partial differential equation
• parabolic transform
• existence and uniqueness of solutions

MSC

•  34A07
•  34A60
•  35A05
•  26A33
•  03E72
•  34C29
•  34K05
•  34K30

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