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

Zaid Amer Mohammed, Mondher Damak, Fadhel Subhi Fadhel, Hadeel Sameer Altahainah

2025Babylonian Journal of Mathematics13 citationsDOIOpen Access PDF

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.

Topics & Concepts

UniquenessMathematicsPicard–Lindelöf theoremUniqueness theorem for Poisson's equationApplied mathematicsMathematical analysisDifferential equationFixed-point theoremDifferential Equations and Boundary ProblemsDifferential Equations and Numerical MethodsNonlinear Differential Equations Analysis