Results 41 to 50 of about 1,345 (201)
Journal of New Results in Science, 2021 Special functions such as hypergeometric, zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and Mittag-Leffler functions are obtained as a solution to complex differential equations in engineering, science and technology.
Umar Muhammad Abubakar
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Estimations of fractional integral operators for convex functions and related results
Advances in Difference Equations, 2020 This research investigates the bounds of fractional integral operators containing an extended generalized Mittag-Leffler function as a kernel via several kinds of convexity.
Zhihua Chen +3 more
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Partial sums of generalized q-Mittag-Leffler functions
AIMS Mathematics, 2020 En la presente investigación, nuestro objetivo principal es proporcionar límites inferiores para la relación de alguna función q-Mittag-Leffler normalizada y sus secuencias de sumas parciales. Consideramos diversos corolarios y consecuencias de nuestros principales resultados.
Muhammad Sabil Ur Rehman +4 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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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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Certain Properties Associated with Generalized $M$-Series using Hadamard Product [PDF]
Sahand Communications in Mathematical AnalysisThe generalized $M$-series is a hybrid function of generalized Mittag-Leffler function and generalized hypergeometric function. The principal aim of this paper is to investigate certain properties resembling those of the Mittag-Leffler and ...
Dheerandra Sachan +2 more
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Generalized Mittag-Leffler kernels and generalized scaling operators in Mittag-Leffler analysis
, 2021 Generalized scaling operators and generalized Gauss kernels are fundamental concepts in Gaussian analysis with application to path integrals and PDEs via the Feynman-Kac formula. In non-Gaussian analysis, particularly in Mittag-Leffler analysis, i.e., in
Ang Elyn Gumanoy +3 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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Fractal and Fractional, 2022 In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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