Results 11 to 20 of about 43 (43)

Generalized classes of starlike and convex functions of order α

International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 455-467, 1985., 1985
We have introduced, in this paper, the generalized classes of starlike and convex functions of order α by using the fractional calculus. We then proved some subordination theorems, argument theorems, and various results of modified Hadamard product for functions belonging to these classes.
Shigeyoshi Owa, C. Y. Shen
wiley   +1 more source

Theory and applications of first-order systems of Stieltjes differential equations

Advances in Nonlinear Analysis, 2017
We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives.
Frigon Marlène, Pouso Rodrigo López
doaj   +1 more source

On second-order linear Stieltjes differential equations with non-constant coefficients

Open Mathematics
In this work, we define the notions of Wronskian and simplified Wronskian for Stieltjes derivatives and study some of their properties in a similar manner to the context of time scales or the usual derivative.
Fernández Francisco J., Albés Ignacio Marquéz, Tojo Fernández   +2 more
doaj   +1 more source

Some well-known inequalities of Ostrowski like for Caputo derivatives

Applied Mathematics in Science and Engineering
This paper aims to provide new versions of some known inequalities by applying Caputo fractional derivatives. Ostrowski, Hermite-Hadamard and Ostrowski-Grüss-type inequalities are given. Generalized conditions of existing inequalities are analysed to get
Yonghong Liu, Ghulam Farid, Jongsuk Ro, Mawahib Elamin, Sayed Abdel-Khalek   +4 more
doaj   +1 more source

Strongly (g,h;α − m)-convex functions and the consequent Hermite–Hadamard-type inequalities

Applied Mathematics in Science and Engineering
In this paper, we define a new class of strongly [Formula: see text]-convex functions. Some important implications are listed and related with already known classes.
Yonghong Liu, Ghulam Farid, Josip Pečarić, Jongsuk Ro, Mawahib Elamin, Sayed Abdel-Khalek   +5 more
doaj   +1 more source

On singular nonlinear distributional and impulsive initial and boundary value problems

Boundary Value Problems, 2011
Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
doaj  

Comparison of Effects of an Endotracheal Tube or Facemask on Breathing Pattern and Distribution of Ventilation in Anesthetized Horses. [PDF]

Front Vet Sci, 2022
Moreno-Martinez F, Byrne D, Raisis A, Waldmann AD, Hosgood G, Mosing M.   +5 more
europepmc   +1 more source

Levinson's type generalization of the Jensen inequality and its converse for real Stieltjes measure. [PDF]

J Inequal Appl, 2017
Mikić R, Pečarić J, Rodić M.
europepmc   +1 more source

Neopetrocyclamines A and B, polycyclic diamine alkaloids from the sponge Neopetrosia cf exigua. [PDF]

J Nat Prod, 2015
Liang Z, Sulzmaier FJ, Yoshida WY, Kelly M, Ramos JW, Williams PG.   +5 more
europepmc   +1 more source

Oscillation of second-order linear delay differential equations

Open Mathematics, 2008
Ohriska Ján
doaj   +1 more source