Results 51 to 60 of about 1,345 (201)

Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator

Journal of Function Spaces, 2022
This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator.
Tingmei Gao, Ghulam Farid, Ayyaz Ahmad, Waewta Luangboon, Kamsing Nonlaopon   +4 more
doaj   +1 more source

More on the Unified Mittag–Leffler Function

, 2022
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).
Kamsing Nonlaopon, Hafsa Yasmeen, Chahnyong Jung, Ghulam Farid   +3 more
core   +1 more source

A Class of Extended Mittag–Leffler Functions and Their Properties Related to Integral Transforms and Fractional Calculus

Mathematics, 2015
In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function.
Rakesh K. Parmar
doaj   +1 more source

New Estimations of Hermite–Hadamard Type Integral Inequalities for Special Functions

Fractal and Fractional, 2021
In this paper, we propose some generalized integral inequalities of the Raina type depicting the Mittag–Leffler function. We introduce and explore the idea of generalized s-type convex function of Raina type.
Hijaz Ahmad, Muhammad Tariq, Soubhagya Kumar Sahoo, Jamel Baili, Clemente Cesarano   +4 more
doaj   +1 more source

Turán Type Inequalities for Classical and Generalized Mittag-Leffler Functions [PDF]

Analysis Mathematica, 2018
15 ...
Sitnik, Sergei M., Mehrez, Khaled
openaire   +2 more sources

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, Talha Usman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +3 more
openaire   +2 more sources

Generalized Langevin Equation and the Prabhakar Derivative

Mathematics, 2017
We consider a generalized Langevin equation with regularized Prabhakar derivative operator. We analyze the mean square displacement, time-dependent diffusion coefficient and velocity autocorrelation function.
Trifce Sandev
doaj   +1 more source

Revealing the Resonant Physics of Open Photonic Time Crystals

Laser &Photonics Reviews, EarlyView.
ABSTRACT Photonic time crystals (PTCs) are media whose permittivity is modulated periodically in time, enabling momentum bandgaps and parametric amplification of light. Their realization at the nanoscale can revolutionize the study of light‐matter interactions.
Adrià Canós Valero, Sergei Gladyshev, David Globosits, Stefan Rotter, Egor A. Muljarov, Thomas Weiss   +5 more
wiley   +1 more source

Sobre as funções Mittag-Leffler e o modelo fracionário de materiais viscoelásticos [PDF]

, 2006
Tese (doutorado) - Universidade Federal de Santa Catarina, Centro Tecnológico. Programa de Pós-Graduação em Mecânica.Materiais viscoelásticos são hoje largamente aplicados em vários ramos da engenharia, com destaque para a mecânica e aeroespacial.
Moschen, Izolda Del Corno
core  

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Demonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud   +3 more
doaj   +1 more source