ON WEIGHTED k -FRACTIONAL OPERATORS with APPLICATIONS in MATHEMATICAL PHYSICS

Wu S., Samraiz M., Perveen Z., Iqbal S., Hussain A.

Fractals, cilt.29, sa.4, 2021 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s0218348x21500845
  • Dergi Adı: Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Compendex, INSPEC, zbMATH, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: Weighted k -Caputo Fractional Derivative, Weighted k -Prabhakar Fractional Derivative, Weighted k -Prabhakar Fractional Integral Operator
  • Uşak Üniversitesi Adresli: Hayır

Özet

The main objective of this paper is to present weighted k-fractional integral and derivative operators of a function with respect to another function and to uncover their properties. In addition to this, we find the weighted Laplace transform of the newly defined operators. As applications of the weighted k-fractional operators in mathematical physics, we study the fractional forms of kinetic differintegral equation and the time-fractional heat equation involving the novel operators and find their solutions using weighted Laplace transform.