Results 51 to 60 of about 11,816 (109)

Fractional Integration and Fractional Differentiation of the M-Series [PDF]

, 2008
Mathematics Subject Classification: 26A33, 33C60, 44A15In this paper a new special function called as M-series is introduced. This series is a particular case of the H-function of Inayat-Hussain.
Sharma, Manoj
core  

A note on Hadamard fractional differential equations with varying coefficients and their applications in probability

, 2017
In this paper we show several connections between special functions arising from generalized COM-Poisson-type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results
Garra, Roberto, Orsingher, Enzo, Polito, Federico   +2 more
core   +1 more source

On generalized fractional integral with multivariate Mittag-Leffler function and its applications

Alexandria Engineering Journal, 2022
The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir, Gauhar Rahman, Asad Ali, Saima Naheed, Kottakkaran Soopy Nisar, Wedad Albalawi, Heba Y. Zahran   +6 more
doaj   +1 more source

Certain Properties of Extended Mittag-Leffler-Type Function of Arbitrary Order [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية
In this paper, we introduce a new extension of Mittag-Leffler function. We investigate its basic roperties, including recurrence relations, differential formulas, integral representations, aplace transform and Mellin transform.
Maged Bin-Saad, Jihad Younis
doaj   +1 more source

Some results on generalized Euler-type integrals related to the four parameters Mittag-Leffler function

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
doaj   +1 more source

(h−m) $(h-m)$-convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag-Leffler function

Journal of Inequalities and Applications, 2019
The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for (h−m) $(h-m)$-convex functions due to an extended generalized Mittag-Leffler function.
Shin Min Kang, Ghulam Farid, Waqas Nazeer, Sajid Mehmood   +3 more
doaj   +1 more source

Inverse source problems for degenerate time-fractional PDE

, 2020
In this paper, we investigate two inverse source problems for degenerate time-fractional partial differential equation in rectangular domains. The first problem involves a space-degenerate partial differential equation and the second one involves a time ...
Al-Salti, Nasser, Karimov, Erkinjon
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Oscillatory integrals for Mittag-Leffler functions with two variables

Comptes Rendus. Mathématique
In this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type ...
Ikromov, Isroil A., Ruzhansky, Michael, Safarov, Akbar R.   +2 more
doaj   +1 more source

Certain unified integral formulas involving five-parameter Mittag-Leffler function

International Journal of Mathematics for Industry
In this work, we propose some unified integral representations for the five-parameter Mittag-Leffler function, and our findings are evaluated in terms of various generalized special functions.
Ankit Pal, Vinod Kumar Jatav, Udai Kumar
doaj   +1 more source

Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform

MANAS: Journal of Engineering
The generalized pathway fractional integral formulas for the newly extended multiindex Mittag-Leffler function defined by using two Fox-Wright functions as its kernel is studied.
Enes Ata, Muhammad Kaurangini, Umar Muhammad Abubakar   +2 more
doaj   +1 more source