activity
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

collaborators

40 papers

math.GM2022★ 1 cited

Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters

Mohammad Ayman Mursaleen, Adem Kilicman, Md. Nasiruzzaman

Our main purpose of this article is to study the convergence and other related properties of q-Bernstein-Kantorovich operators including the shifted knots of real positive numbers.…

math.NA2021

On Theoretical and Numerical Aspect of Fractional Differential Equations with Purely Integral Conditions

Saadoune Brahimi, Ahcene Merad, Adem Kilicman

In this paper, we are interested in the study of a problem with fractional derivatives having boundary conditions of integral types. The problem represents a Caputo type advection-…

math.FA2021★ 34 cited

Generalized Fejér-Hermite-Hadamard type via generalized -convexity on fractal sets and applications

Ohud Almutairi, Adem Kiliçman

In this article, we define a new class of convexity called generalized -convexity, which generalizes -convexity and -convexity on fractal sets $(0<α\leq…

math-ph2021

Solitons of nonlinear dispersive wave steered from Navier-Bernoulli hypothesis and Love's hypothesis in the cylindrical elastic rod with compressible Murnaghan's materials

Rathinavel Silambarasan, Adem Kilicman

The nonlinear dispersive wave equation inside the cylindrical elastic rod is derived by applying the Navier-Bernoulli hypothesis and Love's relation in \cite{5}. The elastic rod is…

math.GM2019

Integral inequalities for s-convexity via generalized fractional integrals on fractal sets

Ohud Almutairi, Adem Kilicman

In this study, we establish a new integral inequalities of Hermite-Hadamard type for -convexity via Katugampola fractional integral. This generalizes the Hadamard fractional int…

math.CO2019

On Convex Graphs Having Plane Spanning Subgraph of Certain Type

Niran Abbas Ali, Gek L. Chiab, Hazim Michman Traoc +1

Motivated by a result of [17], we determine necessary and sufficient conditions on $F\/$ with $|E(F)| \leq n-1\/$ for which $K_n - F\/$ admits a -angulation. For $|E(F)| \geq n\…