On the recurrent computation of fractional operator with Mittag-Leffler kernel
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DOI: 10.1016/j.apnum.2020.12.016
Abstract: Abstract The paper considers the problem of computing the values of the Atangana-Baleanu derivative in Caputo sense which arises while solving fractional partial differential equations. In such case the values of the derivative are needed… read more here.
Keywords: atangana baleanu; leffler function; baleanu derivative; recurrent computation ... See more keywords
Remark on a Mittag–Leffler function of Le Roy type
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DOI: 10.1080/10652469.2021.1913138
Abstract: We give some necessary and some sufficient conditions for the complete monotonicity on the negative half-line of a Mittag-Leffler function of Le Roy type. It is conjectured that the underlying positive random variable, when it… read more here.
Keywords: function roy; roy type; mittag leffler; leffler function ... See more keywords
The (k,s)$(k,s)$-fractional calculus of k-Mittag-Leffler function
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DOI: 10.1186/s13662-017-1176-4
Abstract: In this paper, we introduce the (k,s)$(k, s)$-fractional integral and differential operators involving k-Mittag-Leffler function Ek,ρ,βδ(z)$E_{k,\rho,\beta}^{\delta}(z)$ as its kernel. Also, we establish various properties of these operators. Further, we consider a number of certain consequences… read more here.
Keywords: mittag leffler; leffler function; fractional calculus;
On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function
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DOI: 10.1186/s13662-018-1694-8
Abstract: The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function Ek,ζ,ηγ,ρ(⋅)$E^{\gamma,\rho}_{k,\zeta,\eta}(\cdot)$. The solutions of fractional kinetic equations are discussed in terms of… read more here.
Keywords: leffler function; kinetic equations; mittag leffler; fractional kinetic ... See more keywords
Mittag-Leffler function and fractional differential equations
Sign Up to like & getrecommendations! Published in 2017 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2018-0014
Abstract: Abstract We adopt a procedure of operational-umbral type to solve the (1 + 1)-dimensional fractional Fokker-Planck equation in which time fractional derivative of order α (0 < α < 1) is in the Riemann-Liouville sense.… read more here.
Keywords: leffler function; mittag leffler; fractional differential; differential equations ... See more keywords
A Class of Janowski-Type (p,q)-Convex Harmonic Functions Involving a Generalized q-Mittag-Leffler Function
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DOI: 10.3390/axioms12020190
Abstract: This research aims to present a linear operator Lp,qρ,σ,μf utilizing the q-Mittag–Leffler function. Then, we introduce the subclass of harmonic (p,q)-convex functions HTp,q(ϑ,W,V) related to the Janowski function. For the harmonic p-valent functions f class,… read more here.
Keywords: function; class; convex; mittag leffler ... See more keywords
Partial Sums of the Normalized Le Roy-Type Mittag-Leffler Function
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DOI: 10.3390/axioms12050441
Abstract: Recently, some researchers determined lower bounds for the normalized version of some special functions to its sequence of partial sums, e.g., Struve and Dini functions, Wright functions and Miller–Ross functions. In this paper, we determine… read more here.
Keywords: roy type; mittag leffler; leffler function; type mittag ... See more keywords
On Meromorphic Functions Defined by a New Operator Containing the Mittag-Leffler Function
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DOI: 10.3390/sym11020210
Abstract: This study defines a new linear differential operator via the Hadamard product between a q-hypergeometric function and Mittag–Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function. Additionally, the… read more here.
Keywords: function; mittag leffler; operator; leffler function ... See more keywords
More on the Unified Mittag-Leffler Function
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DOI: 10.3390/sym14030523
Abstract: Symmetry is a fascinating property of numerous mathematical notions. In mathematical analysis a function f:[a,b]→R symmetric about a+b2 satisfies the equation f(a+b−x)=f(x). In this paper, we investigate the relationship of unified Mittag–Leffler function with some… read more here.
Keywords: leffler function; mittag leffler; function; unified mittag ... See more keywords
Generalization of Some Fractional Integral Operator Inequalities for Convex Functions via Unified Mittag-Leffler Function
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DOI: 10.3390/sym14050922
Abstract: This paper aims to obtain the bounds of a class of integral operators containing Mittag–Leffler functions in their kernels. A recently defined unified Mittag–Leffler function plays a vital role in connecting the results of this… read more here.
Keywords: leffler function; mittag leffler; unified mittag; mittag ... See more keywords
Coefficient Estimates of Certain Subclasses of Bi-Bazilevic Functions Associated with Chebyshev Polynomials and Mittag-Leffler Function
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DOI: 10.34198/ejms.5221.365376
Abstract: In this present investigation, the authors introduced certain subclasses of the function class $ T^{\alpha}_{\theta}(\lambda, \beta, t)$ of bi-Bazilevic univalent functions defined in the open unit disk $U$, which are associated with Chebyshev polynomials and… read more here.
Keywords: polynomials mittag; leffler function; chebyshev polynomials; mittag leffler ... See more keywords