Generalizations of some fractional integral inequalities for m-convex functions via generalized Mittag-Leffler function
نویسندگان
چکیده
منابع مشابه
Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function
Fractional inequalities are useful in establishing the uniqueness of solution for partial differential equations of fractional order. Also they provide upper and lower bounds for solutions of fractional boundary value problems. In this paper we obtain some general integral inequalities containing generalized Mittag-Leffler function and some already known integral inequalities have been produced...
متن کاملFractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function
The objective of this paper is to establish some new refinements of fractional Hermite-Hadamard inequalities via a harmonically convex function with a kernel containing the generalized Mittag-Leffler function.
متن کاملSOME INTEGRAL TRANSFORMS OF THE GENERALIZED k-MITTAG-LEFFLER FUNCTION
In the paper, the authors generalize the notion “k-Mittag-Leffler function”, establish some integral transforms of the generalized k-Mittag-Leffler function, and derive several special and known conclusions in terms of the generalized Wright function and the generalized k-Wright function. 1. Preliminaries Throughout this paper, let C, R, R0 , R, Z − 0 , and N denote respectively the sets of com...
متن کاملFractional integral operators and the multiindex Mittag-Leffler functions
The aim of this paper is to study some properties of multiindex Mittag-Leffler type function E(1/ρj),(μj)(z) introduced by Kiryakova [V. Kiryakova, J. Comput. Appl. Math. 118 (2000), 241-259]. Here we establish certain theorems which provide the image of this function under the Saigo’s fractional integral operators. The results derived are of general character and give rise to a number of known...
متن کاملFractional differential equations for the generalized Mittag-Leffler function
*Correspondence: [email protected] 3Department of Mathematical Sciences, UAE University, Al Ain, United Arab Emirates Full list of author information is available at the end of the article Abstract In this paper, we establish some (presumably new) differential equation formulas for the extended Mittag-Leffler-type function by using the Saigo-Maeda fractional differential operators involvin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Studia Universitatis Babes-Bolyai Matematica
سال: 2018
ISSN: 0252-1938,2065-961X
DOI: 10.24193/subbmath.2018.1.02