Solutions of singular integral equations of generalized convolution type

Faculty Science Year: 2025
Type of Publication: ZU Hosted Pages:
Authors:
Abbas Sedky Nagdy
Journal: Transactions of A. Razmadze Mathematical Institute Elsevier B.V. Volume:
Keywords : Solutions , singular integral equations , generalized convolution    
Abstract:
This article presents a class of singular integral equations of convolution kind in the class {0}. Fourier transforms are used to transform these equations into Riemann boundary value problems (RBVPs) with discontinuous coefficients. For such problems, we proposed a novel method and found the solutions in the class {0}.
    
     
 
       

Author Related Publications

  • Abbas Sedky Nagdy, "On the solution of a certain class of nonlinear singular integro-differential equations with Carleman shift", Elsevier Ltd / Elsevier BV / Pergamon (imprint), 2001 More
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  • Abbas Sedky Nagdy, "A Computational Technique for Solving Three-Dimensional Mixed Volterra–Fredholm Integral Equations", MPDI, 2023 More
  • Abbas Sedky Nagdy, "Solution of fractional integro-differential equations using least squares and shifted Legendre methods‏", Poland, 2024 More
  • Abbas Sedky Nagdy, "The Solvability and Explicit Solutions of Singular Integral–Differential Equations with Reflection", John Wiley and Sons Ltd, 2024 More

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