Fractional integration and differentiation of thegeneralized arbitrary order Mittag-Leffler-type function

Authors

  • Maged Bin-Saad Department of Mathematics, Aden University, Aden, Yemen
  • Jihad Younis Department of Mathematics, Aden University, Aden, Yemen
  • Praveen Agarwal Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE; Department of Mathematics, Anand International College of Engineering, India
  • Shilpi Jain Department of Mathematics, Poornima College of Engineering, India
  • Rakib Efendiev Department of Mathematics and Computer Science, Baku Engineering University, Azerbaijan

Abstract

 Several fractional calculus operators have been introduced and studied. The aim of this paper is to present certain formulas for the Marichev-Saigo-Maeda fractional integration and differentiation involving the generalized arbitrary order Mittag-Leffler-type function. The corresponding assertions for the Saigo, Erdélyi–Kober and Riemann–Liouville fractional operators are also deduced.

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Published

11/28/2025

Issue

Vol. 16 No. 4 (2025): Mathematics in Engineering, Science and Aerospace (MESA)

Section

Articles