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Mixed Fractional Differential Equations and Generalized Operator-Valued Mittag-Leffler Functions

Mathematical Notes, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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EXPLORING NEW GENERALIZED INEQUALITIES OF FRACTAL-FRACTIONAL INTEGRAL OPERATORS BY MEANS OF GENERALIZED MITTAG-LEFFLER KERNELS AND APPLICATION

Fractals
Mathematical inequalities and fractional calculus are two important topics of mathematics that have numerous implications. The aim of this research is to introduce newly generalized inequalities, including Pólya–Szegö, Chěbyshěv, Grüss and various types ...
S. Rashid   +3 more
semanticscholar   +1 more source

Generalized Fractional Calculus Formulas for a Product of Mittag-Leffler Function and Multivariable Polynomials

International Journal of Applied and Computational Mathematics, 2017
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D. L. Suthar   +2 more
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On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation

Mathematical Physics, Analysis and Geometry, 2011
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Camargo, Rubens de Figueiredo   +2 more
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MULTI-INDEX MITTAG-LEFFLER FUNCTIONS, GENERALIZED FRACTIONAL CALCULUS AND LAPLACE TYPE TRANSFORM

IFAC Proceedings Volumes, 2006
Abstract Recently, the interest in the Mittag-Leffler (M-L) functions has increased in view of their important role and applications in fractional calculus and fractional order differential and integral equations (FODIEs). We have introduced and studied analogues of these functions, depending on two sets of multi-indices.
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Fractional calculus of extended k-generalized Mittag-Leffler function and its properties

Journal of Interdisciplinary Mathematics
The main objective of the paper is to present the concept of fractional calculus on the extended k-generalized ML function Eτ,ς,ξ ρ,σ,c (x; p). Furthermore, the fractional integral and differential operators of this function are investigated. This paper also deals with the different properties of these integral operators and functions.
Liya D’Costa, Naresh Menaria
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Generalized Mittag-Leffler Function and Its Properties

2015
Recently, Srivastava, C¸ etinkaya and Kıymaz [18] defined the generalized Pochhammer symbol and obtained some relations.In this paper, we define the generalized Mittag-Leffler function via the generalized Pochammer symbol and present some recurrencerelation, derivative properties, integral representation.
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