Existence and Uniqueness Theorem of Multi-Dimensional Integro-Differential Equations With Fractional Differointegrations

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Published: 2025-05-12
DOI: https://doi.org/10.58496/BJM/2025/006
Keywords:
Fractional differential equation, existence and uniqueness of solution, Banach fixed point.

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Zaid A. Mohammed
Economic and Administration College. Al-Iraqia University, Baghdad, Iraq
https://orcid.org/0009-0000-6987-2577 (unauthenticated)
Mondher Damak
Faculty of Sciences of Sfax, P.O. 1171 Sfax. University of Sfax, Tunisia
https://orcid.org/0000-0002-6558-6060 (unauthenticated)
Fadhel S. Fadhel
Departement of Mathematics, College of Science, Al-Nahrain University, Jadriya, Baghdad, Iraq
https://orcid.org/0000-0002-8351-2153 (unauthenticated)
Hadeel Sameer Altahainah
Department of Computer Science, Al-Balqa Applied, University, Al-Salt 19117, Jordan

Abstract

The aim of this paper is to establish the existence and uniqueness theorems of multi-dimensional conformable fractional partial integro-differential equations theorem for generalized contraction mappings with respect to w-distances in complete metric spaces.

Article Details

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Vol. 2025 (2025)

Section

Articles

How to Cite

[1]
Z. A. Mohammed, M. Damak, F. S. Fadhel, and H. S. Altahainah, “Existence and Uniqueness Theorem of Multi-Dimensional Integro-Differential Equations With Fractional Differointegrations”, Babylonian Journal of Mathematics, vol. 2025, pp. 44–49, May 2025, doi: 10.58496/BJM/2025/006.