A new generalization of Mittag-Leffler function via q-calculus
Raghib NadeemDepartment of Applied Mathematics, Zakir Hussain College of Engineering and Technology, Aligarh Muslim University, 202002, Aligarh, IndiaTalha UsmanDepartment of Mathematics, School of Basic and Applied Sciences, Lingaya’s Vidyapeeth, 121002, Faridabad, IndiaKottakkaran Sooppy NisarDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, 11991, Wadi Aldawaser, Kingdom of Saudi ArabiaThabet AbdeljawadDepartment of Computer Science and Information Engineering, Asia University, 40402, Taichung, Taiwan
2020en
ABI
Annotatsiya
Abstract The present paper deals with a new different generalization of the Mittag-Leffler function through q -calculus. We then investigate its remarkable properties like convergence, recurrence relation, integral representation, q -derivative formula, q -Laplace transformation, and image formula under q -derivative operator. In addition to this, we consider some specific cases to give the utilization of our main results.
Hali tarjima qilinmagan
Identifikatorlar
Iqtiboslar va manbalar
2 ta iqtibos0 ta foydalanilgan manba