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20092022
most citedGeneralized Fejér-Hermite-Hadamard type via generalized -convexity on fractal sets and applications

34 citations · 84 across the 36 of their papers we have counts for

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6 papers · 1 filter

math.CA2018

On the Oscillation of Three Dimensional Katugampola Fractional Delay Differential Systems

A. Kilicman, V. Sadhasivam, M. Deepa +1

In this study, we consider the three dimensional -fractional nonlinear delay differential system of the form \begin{eqnarray*} D^α\left(u(t)\right)&=&p(t)g\left(v(σ(t))\right),\…

math.CA2018

Extended (p,q)-Mittag-Leffler function and its properties

A. Kilicman, G. Rahman, K. S. Nisar +1

In this study our aim to define the extended -Mittag-Leffler(ML) function by using extension of beta functions and to obtain the integral representation of new function. We…

math.CA2017

Generalized Convex Functions and Their Applications

Adem Kilicman, Wedad Saleh

This study focuses on convex functions and their generalized. Thus, we start this study by giving the definition of convex functions and some of their properties and discussing a s…

math.CA2015

Notes on the q-Analogues of the Natural Transforms and Some Further Applications

S. K. Q. Al-Omari, A. Kilicman

As an extension to the Laplace and Sumudu transforms the classical Natural transform was proposed to solve certain fluid flow problems. In this paper, we investigate q-analogues of…

math.CA2015★ 1 cited

Mixed solutions of monotone iterative technique for hybrid fractional differential equations

Rabha W. Ibrahim, Adem Kilicman, Faten H. Damag

This paper concerns with a mathematical modelling of biological experiments, and its influence on our lives. Fractional hybrid iterative differential equations are equations that i…

math.CA2015

Statistical approximation properties of Stancu type -Baskakov-Kantorovich operators

Vishnu Narayan Mishra, Preeti Sharma, Adem Kilicman +1

In the present paper, we consider Stancu type generalization of Baskakov-Kantorovich operators based on the q-integers and obtain statistical and weighted statistical approximation…