Application of Double Shehu Transforms to Caputo Fractional Partial Differential Equations

Alfaqeih S., Bakicierler G., Misirli E.

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, cilt.54, sa.1, ss.1-13, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.52280/pujm.2021.540101
  • Dergi Adı: PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.1-13
  • Anahtar Kelimeler: Fractional differential equation, Integral equations, Double Sumudu trans-form, Double Laplace transforms, Shehu transform
  • Marmara Üniversitesi Adresli: Hayır

Özet

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.