Caputo Type Fractional Differentiation for the Extended Generalized Mittag-Leffler Function

Suthar D. L., Shimelis B., UÇAR F., Purohit S. D.

Progress in Fractional Differentiation and Applications, cilt.9, sa.1, ss.135-143, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.18576/pfda/090110
  • Dergi Adı: Progress in Fractional Differentiation and Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.135-143
  • Anahtar Kelimeler: Extended Mittag-Leffler function, extended Wright-type hypergeometric functions, fractional integral and derivative operators
  • Marmara Üniversitesi Adresli: Evet

Özet

The goal of this paper is to develop some differential equation formulas for the extended generalized Mittag-Leffler function (EGMLF) using Caputo type Marichev-Saigo-Maeda (MSM) fractional derivative operators involving the third Appell function as kernel, with the results viewed in the context of extended Wright hypergeometric type function. Furthermore, we highlight their relation to previously known results.