Results 1 to 10 of about 1,991 (228)

Analysis of Finite Integrals with Incomplete Aleph Functions, Mittag-Leffler Generalizations, and the Error Function

Fractal and Fractional
In this paper, we evaluate a general class of finite integrals involving the error function, generalized Mittag-Leffler functions, and incomplete Aleph functions. The main result provides a unified framework that extends several known formulas related to
Dinesh Kumar, Frédéric Ayant, Meena Kumari Gurjar, Anil Kumar Vishnoi, Saroj Solanki   +4 more
doaj   +3 more sources

A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications

Abstract and Applied Analysis
In this paper, a new class of multivariable special functions and their generalizations is introduced and used to solve generalized fractional differential and kinetic equations.
B. B. Jaimini, null Meenu, Suman Sharma, S. D. Purohit, D. L. Suthar   +4 more
doaj   +3 more sources

A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function

Axioms, 2023
This article aims to obtain inequalities containing the unified Mittag–Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements of many inequalities. By setting values of
Ghulam Farid, Hafsa Tariq, Ferdous M. O. Tawfiq, Jong-Suk Ro, Saira Zainab   +4 more
doaj   +2 more sources

A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

Open Physics, 2022
The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi, Goyal Rahul, Oros Georgia Irina, Agarwal Praveen, Momani Shaher   +4 more
doaj   +2 more sources

Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator

Mathematics, 2022
The generalized exponential function in a complex domain is called the Mittag-Leffler function (MLF). The implementations of MLF are significant in diverse areas of science. Over the past few decades, MLF and its analysis with generalizations have become
F. Ghanim, Hiba F. Al-Janaby, Marwan Al-Momani, Belal Batiha   +3 more
doaj   +2 more sources

Solutions to Fractional q-Kinetic Equations Involving Quantum Extensions of Generalized Hyper Mittag-Leffler Functions

Fractal and Fractional
This manuscript focuses on new generalizations of q-Mittag-Leffler functions, called generalized hyper q-Mittag-Leffler functions, and discusses their regions of convergence and various fractional q operators.
Mohammed Z. Alqarni, Mohamed Akel, Mohamed Abdalla   +2 more
doaj   +2 more sources

(p,h)-Convex Functions Associated with Hadamard and Fejér-Hadamard Inequalities via k-Fractional Integral Operators

Journal of Function Spaces, 2022
In this article, generalized versions of the k-fractional Hadamard and Fejér-Hadamard inequalities are constructed. To obtain the generalized versions of these inequalities, k-fractional integral operators including the well-known Mittag-Leffler function
Xiujun Zhang, Ghulam Farid, Ayşe Kübra Demirel, Chahn Yong Jung   +3 more
doaj   +2 more sources

New Extended Three-Variable Mittag-Leffler Type Functions

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
This article presents a systematic investigation of a new class of Mittag-Leffler-type functions in three variables. These functions are a natural and significant extension of the classical Mittag-Leffler function, and are constructed to correspond ...
Hasanov, A., Yuldashova, H.A.
doaj   +2 more sources

Generalizations of some fractional integral inequalities for m-convex functions via generalized Mittag-Leffler function

, 2018
G. Farid, G. Abbas
semanticscholar   +2 more sources

Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2017
Abbas G, Khan KA, Farid G, Rehman AU.
europepmc   +3 more sources