Application of Double Shehu Transforms to Caputo Fractional Partial Differential Equations

Alfaqeih S., Bakicierler G., Misirli E.

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, vol.54, no.1, pp.1-13, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.52280/pujm.2021.540101
  • Journal Name: PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.1-13
  • Keywords: Fractional differential equation, Integral equations, Double Sumudu trans-form, Double Laplace transforms, Shehu transform
  • Marmara University Affiliated: No

Abstract

Recently, a new generalization of the double Laplace transform and double Sumudu transform, namely, double Shehu transform, has been introduced. This study has derived the double Shehu transform (DHT) formulas for the fractional Caputo operators. We then applied this gener-alized integral transform to solve fractional partial differential equations involving Caputo derivative.