Solving nth-order Integro-differential Equations by Novel Generalized Hybrid Transform

Authors

  • Sana Ullah Khan Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
  • Asif Khan Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
  • Aman Ullah Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
  • Shabir Ahmad Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
  • Fuad A. Awwad Department of Quantitative analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi Arabia
  • Emad A. A. Ismail Department of Quantitative analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi Arabia
  • Shehu Maitama School of Mathematics, Shandong University, Jinan, Shandong, China
  • Huzaifa Umar
  • Hijaz Ahmad Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39,00186 Roma, Italy

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i3.4840

Keywords:

Integrodifferential equations, Shehu transform, Integral transforms

Abstract

Recently, Shehu has introduced an integral transform called Shehu transform, which generalizes the two well-known integrals transforms, i.e. Laplace and Sumudu transform. In the literature, many integral transforms were used to compute the solution of integro-differential equations (IDEs). In this article, for the first time, we use Shehu transform for the computation of solution of $n^{\text{th}}$-order IDEs. We present a general scheme of solution for $n^{\text{th}}$-order IDEs. We give some examples with detailed solutions to show the appropriateness of the method. We present the accuracy, simplicity, and convergence of the proposed method through tables and graphs.

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Published

2023-07-30

Issue

Vol. 16 No. 3: (July 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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How to Cite

Solving nth-order Integro-differential Equations by Novel Generalized Hybrid Transform. (2023). European Journal of Pure and Applied Mathematics, 16(3), 1940-1955. https://doi.org/10.29020/nybg.ejpam.v16i3.4840