Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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CAPUTO DELAYED FRACTIONAL DIFFERENTIAL EQUATIONS BY SADIK TRANSFORM

  • Awad T. Alabdala (Management Department - Universite Francaise d'Egypte) ;
  • Basim N. Abood (Department of Mathematics, College of Education of Pure Science, University of Wasit) ;
  • Saleh S. Redhwan (Department of Mathematics, Al-Mahweet University) ;
  • Soliman Alkhatib (Engineering Mathematics and Physics Department, Future University in Egypt)
  • Received : 2022.08.30
  • Accepted : 2022.12.13
  • Published : 2023.06.15
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Abstract

In this article, we are interested in studying the fractional Sadik Transform and a combination of the method of steps that will be applied together to find accurate solutions or approximations to homogeneous and non-homogeneous delayed fractional differential equations with constant-coefficient and possible extension to time-dependent delays. The results show that the process is correct, exact, and easy to do for solving delayed fractional differential equations near the origin. Finally, we provide several examples to illustrate the applicability of this method.

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