Subclasses of Spiral-Like Functions Associated With the Generalized Mittag-Leffler Function
, 2022 Due to its crucial role in handling issues with fractional order integral and differential equations, the unique transcendental operator known as a Mittag-Leffler function has drawn the interest of academics in recent years.
Jamal Salah
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Integral equations involving generalized Mittag-Leffler function
Ukrains’kyi Matematychnyi Zhurnal, 2020 UDC 517.5 The paper deals with solving the integral equation with a generalized Mittag-Leffler function E α , β γ , q ( z ) that defines a kernel using a fractional integral operator. The existence of the solution is justified and necessary conditions on the integral equation admiting a solution are ...
Rachana Desai +2 more
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Generalization of Beta functions in terms of Mittag-Leffler function [PDF]
Frontiers in Scientific Research and Technology, 2020 In this paper, we give a new generalization of extended beta functions by using generalized Mittag Leffler functions. We investigate its properties and its integral representations. In addition, we establish the generalization of extended hypergeometric and Confluent hypergeometric functions by using the newly extended beta function. Some properties of
Karima Oraby +5 more
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Self-Similar Cauchy Problems and Generalized Mittag-Leffler Functions [PDF]
Fractional Calculus and Applied Analysis, 2021 By observing that the fractional Caputo derivative can be expressed in terms of a multiplicative convolution operator, we introduce and study a class of such operators which also have the same self-similarity property as the Caputo derivative. We proceed by identifying a subclass which is in bijection with the set of Bernstein functions and we provide ...
Patie, Pierre, Srapionyan, Anna
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Fractional derivatives of the generalized Mittag-Leffler functions [PDF]
Advances in Difference Equations, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Denghao Pang +2 more
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INTEGRAL TRANSFORM WITH THE EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION
More Progresses in Analysis, 2006 he paper is devoted to the study of the integral transform containing the special function å((á, â) n ;z) generalizing the Mittag‐Leffler type function in the space £v,r (1 ≤ r ≤ 8, í ∈ R) of Lebesgue measurable functions on R+ = (0,+8) such that ‖ƒ‖ v,r < 8, where Mapping properties such as the boundedness, the range, the representation and the ...
Kilbas, A. A., Koroleva, A. A.
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A new generalization of Mittag-Leffler function via q-calculus [PDF]
Advances in Difference Equations, 2020 AbstractThe present paper deals with a new different generalization of the Mittag-Leffler function through q-calculus. We then investigate its remarkable properties like convergence, recurrence relation, integral representation, q-derivative formula, q-Laplace transformation, and image formula under q-derivative operator.
Raghib Nadeem +3 more
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Turán Type Inequalities for Classical and Generalized Mittag-Leffler Functions [PDF]
Analysis Mathematica, 2018 15 ...
Sitnik, Sergei M., Mehrez, Khaled
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Some Properties of Mittag-Leffler Functions and Matrix-Variate Analogues: A Statistical Perspective [PDF]
, 2010 Mathematical Subject Classification 2010:26A33, 33E99, 15A52, 62E15.Mittag-Leffler functions and their generalizations appear in a large variety of problems in different areas. When we move from total differential equations to fractional equations Mittag-
Mathai, A.
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Generalizations of some fractional integral inequalities for m-convex functions via generalized Mittag-Leffler function [PDF]
, 2018 In this paper we are interested to present some general fractional integral inequalities for m-convex functions by involving generalized Mittag-Leffler function. In particular we produce inequalities for several kinds of fractional integrals.
Ghulam Abbas +3 more
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