Solvability Of Infinite Systems Of Fractional Equation In The Hahn Sequence Space

Authors

  • Masoomeh Hosseini Farahi Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
  • Reza Allahyari Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
  • Mahmoud Hassani Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.

Keywords:

Fractional differential equations, Measure of noncompactness, Meir-Keeler condensing operator, Sequence spaces

Abstract

We define the Hausdorff MNC in the Hahn sequence space.
Then, by applying the MNC we consider the solvability of BVP of frac-
tional type by nonlocal integral boundary conditions in the Hahn se-
quence space. Eventually, we provide one example to inquire the per-
formance of main results.

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Published

2023-11-26

Issue

Section

Vol. 17, No. 9, (2023)