Nonlinear Functional Analysis and Applications

  • 제29권1호
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  • Pages.113-130
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  • 2024
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 기초과학연구소 (The Basic Sciences Research Institute, Kyungnam University)
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QUALITATIVE ANALYSIS OF ABR-FRACTIONAL VOLTERRA-FREDHOLM SYSTEM

  • Shakir M. Atshan (Department of Mathematics, Thi-Qar Directorates of Education, Ministry of Education) ;
  • Ahmed A. Hamoud (Department of Mathematics, Taiz University)
  • 투고 : 2023.06.21
  • 심사 : 2023.08.31
  • 발행 : 2024.03.15
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초록

In this work, we explore the existence and uniqueness results for a class of boundary value issues for implicit Volterra-Fredholm nonlinear integro-differential equations (IDEs) with Atangana-Baleanu-Riemann fractional (ABR-fractional) that have non-instantaneous multi-point fractional boundary conditions. The findings are supported by Krasnoselskii's fixed point theorem, Gronwall-Bellman inequality, and the Banach contraction principle. Finally, a demonstrative example is provided to support our key findings.

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참고문헌

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