Results 21 to 30 of about 145 (57)

On a class of univalent functions defined by Salagean integro-differential operator

, 2018
In this paper we consider the L n W A ! A, L nf . ́/D .1 /Dnf . ́/C Inf . ́/ linear operator, where Dn is the Sǎlǎgean differential operator and In is the Sǎlǎgean integral operator. We study several differential subordinations generated by L n.
Á. O. Páll-Szabó
semanticscholar   +1 more source

Picard iterative processes for initial value problems of singular fractional differential equations

, 2014
In this paper, the initial value problems of singular fractional differential equations are discussed. New criteria on the existence and uniqueness of solutions are obtained.
Xiaohui Yang, Yuji Liu
semanticscholar   +1 more source

Converses of Copson's inequalities on time scales

, 2015
In this paper, we will prove some new dynamic inequalities on a time scale T . These inequalities when T = N contain the discrete inequalities due to Bennett and Leindler which are converses of Copson’s inequalities. The main results will be proved using
S. Saker, D. Regan, R. Agarwal
semanticscholar   +1 more source

New Hilbert dynamic inequalities on time scales

, 2017
In this paper, we prove some new dynamic inequalities of Hilbert type on time scales. From these inequalities, as special cases, we will formulate some special integral and discrete inequalities.
S. Saker, A. M. Ahmed, H. M. Rezk, D. Regan, R. Agarwal   +4 more
semanticscholar   +1 more source

Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions

, 2012
This article studies the existence and dimension of the set for mild solutions of semilinear fractional differential inclusions. We recall and prove some new results on multivalued maps to establish our main results.MSC 2010: 34A12; 34A40.
R. Agarwal, B. Ahmad, A. Alsaedi, N. Shahzad   +3 more
semanticscholar   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Demonstratio Mathematica
In this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam, Sabarinathan Sriramulu, Selvan Arumugam Ponmana   +2 more
doaj   +1 more source

Existence results for nonlocal boundary value problems of fractional differential equations and inclusions with strip conditions

, 2012
This article studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with strip conditions.
B. Ahmad, S. Ntouyas
semanticscholar   +1 more source

Some New Existence Results and Stability Concepts for Fractional Partial Random Differential Equations

, 2016
In the present paper we provide some existence results and Ulam’s type stability concepts for the Darboux problem of partial fractional random differential equations in Banach spaces, by applying the measure of noncompactness and a random fixed point ...
A. Abbas, M. Benchohra, Prof. Dr. Mohamed Abdalla Darwish   +2 more
semanticscholar   +1 more source

Sneak-out principle on time scales

, 2016
In this paper, we show that the so-called “sneak-out principle” for discrete inequalities is valid also on a general time scale. In particular, we prove some new dynamic inequalities on time scales which as special cases contain discrete inequalities ...
M. Bohner, S. Saker
semanticscholar   +1 more source

Some dynamic inequalities of Hardy type on time scales

, 2014
In this paper we prove some new dynamic inequalities of Hardy type on time scales. The main results will be proved using algebraic inequalities, Holder inequality and Keller’s chain rule on time scales.
S. Saker, D. Regan, R. Agarwal
semanticscholar   +1 more source