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Existence of solution of infinite systems of nonlinear fractional integral equation of two variables in $C(I\times I,m(\Delta_{v}^{u}, \phi,p))$
  • Hojjatollah Amiri Kayvanloo,
  • Asghar allahyari
Hojjatollah Amiri Kayvanloo
Islamic Azad University Mashhad Branch

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Asghar allahyari
Islamic Azad University
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Abstract

The aim of the present paper, is to investigate the solvability of infinite systems of nonlinear fractional integral equation of two variables in $C(I\times I,m(\Delta_{v}^{u}, \phi,p))$ by using the Hausdorff measure of noncompactness with the help of Meir–Keeler condensing operators. We also provide an illustrative example in support of our existence theorems.