Subordination and superordination for certain analytic functions containing fractional integral
Journal Title: Surveys in Mathematics and its Applications - Year 2009, Vol 4, Issue 0
Abstract
The purpose of the present article is to derive some subordination and superordination results for certain normalized analytic functions involving fractional integral operator. Moreover, this result is applied to find a relation between univalent solutions for fractional differential equation.
Authors and Affiliations
Rabha Ibrahim, Maslina Darus, Shaher Momani
Keywords
Related Articles
- EP ID EP139571
- DOI -
- Views 116
- Downloads 0
Perturbation analysis for the complex matrix equation Q ± AHXpA - X = 0
We study the sensitivity of the solution of a general type matrix equation Q ± A<sup>H</sup>X<sup>p</sup>A - X = 0. Local and nonlocal perturbation bounds are derived. The results are obtained usi...
Identifiability of the multivariate normal by the maximum and the minimum
In this paper, we have discussed theoretical problems in statistics on identification of parameters of a non-singular multi-variate normal when only either the distribution of the maximum or the distribution of the minim...
Multiple periodic solutions for a fourth-order discrete Hamiltonian system
By means of a three critical points theorem proposed by Brezis and Nirenberg and a general version of Mountain Pass Theorem, we obtain some multiplicity results for periodic solutions of a fourth-order discrete Hamiltoni...
Optimal Alternative to the Akima's Method of Smooth Interpolation Applied in Diabetology
It is presented a new method of cubic piecewise smooth interpolation applied to experimental data obtained by glycemic profile for diabetics. This method is applied to create a soft useful in clinical diabetology. The me...
http://www.utgjiu.ro/math/sma/v02/p10.pdf
In this paper, we shall establish sufficient conditions for the existence of solutions for a first order boundary value problem for fractional differential equations.