Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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ANALYSIS OF HILFER FRACTIONAL VOLTERRA-FREDHOLM SYSTEM

  • Saif Aldeen M. Jameel (Department of Computer Systems, Middle Technical University, Institute of Administration Rusafa-Baghdad) ;
  • Saja Abdul Rahman (Department Surveying Engineering, College of Engineering, University of Baghdad) ;
  • Ahmed A. Hamoud (Department of Mathematics, Taiz University)
  • Received : 2023.08.10
  • Accepted : 2023.10.15
  • Published : 2024.03.15
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Abstract

In this manuscript, we study the sufficient conditions for existence and uniqueness results of solutions of impulsive Hilfer fractional Volterra-Fredholm integro-differential equations with integral boundary conditions. Fractional calculus and Banach contraction theorem used to prove the uniqueness of results. Moreover, we also establish Hyers-Ulam stability for this problem. An example is also presented at the end.

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References

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