Nonlinear Functional Analysis and Applications

  • 제29권2호
  • /
  • Pages.545-558
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  • 2024
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS OF VOLTERRA-FREDHOLM SYSTEM INVOLVING CAPUTO DERIVATIVE

  • Shakir M. Atshan (Thi-Qar Directorates of Education, Department of Mathematics, Ministry of Education) ;
  • Ahmed A. Hamoud (Department of Mathematics, Taiz University)
  • 투고 : 2023.10.08
  • 심사 : 2023.12.11
  • 발행 : 2024.06.15
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초록

In this study, a class of nonlinear boundary fractional Caputo Volterra-Fredholm integro-differential equations (CV-FIDEs) is taken into account. Under specific assumptions about the available data, we firstly demonstrate the existence and uniqueness features of the solution. The Gronwall's inequality, a adequate singular Hölder's inequality, and the fixed point theorem using an a priori estimate procedure. Finally, a case study is provided to highlight the findings.

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참고문헌

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