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Mixed Fractional Differential Equations and Generalized Operator-Valued Mittag-Leffler Functions
Mathematical Notes, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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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
International Journal of Applied and Computational Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. L. Suthar +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2006Abstract 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 MathematicsThe 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
2015Recently, 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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