Results 11 to 20 of about 1,985,807 (243)

Third-order differential subordination and superordination involving a fractional operator

open access: yesOpen Mathematics, 2015
The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study.
Ibrahim Rabha W.   +2 more
doaj   +2 more sources

Caratheodory operator of differential forms

open access: yesJournal of Inequalities and Applications, 2011
This article is devoted to extensions of some existing results about the Caratheodory operator from the function sense to the differential form situation.
Tang Zhaoyang, Zhu Jianmin
doaj   +1 more source

Generalized Briot-Bouquet Differential Equation Based on New Differential Operator with Complex Connections [PDF]

open access: yesAxioms, 2020
A class of Briot–Bouquet differential equations is a magnificent part of investigating the geometric behaviors of analytic functions, using the subordination and superordination concepts. In this work, we aim to formulate a new differential operator with
Rabha W. Ibrahim   +2 more
doaj   +2 more sources

Quantum stochastic operator cocycles via associated semigroups. [PDF]

open access: yes, 2007
A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic ...
Wills, S. J., Lindsay, J. Martin
core   +5 more sources

How to differentiate a quantum stochastic cocycle. [PDF]

open access: yes, 2010
Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator ...
Lindsay, J Martin   +2 more
core   +4 more sources

Convoluted fractional differentials of various forms utilizing the generalized Raina's function description with applications

open access: yesJournal of Taibah University for Science, 2022
A generalized differential operator utilizing Raina's function is constructed in light of a certain type of fractional calculus. We next use the generalized operators to build a formula for analytic functions of type normalized.
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source

A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator

open access: yesJournal of Function Spaces, 2021
Newly, the field of fractional differential operators has engaged with many other fields in science, technology, and engineering studies. The class of fractional differential and integral operators is considered for a real variable. In this work, we have
Najla M. Alarifi, Rabha W. Ibrahim
doaj   +1 more source

Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential

open access: yesAbstract and Applied Analysis, 2016
A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.
Aleksandr Mikhailovich Kholkin
doaj   +1 more source

Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator

open access: yesComplexity, 2023
In this paper, a class of integrodifferential equations with the Caputo fractal-fractional derivative is considered. We study the exact and numerical solutions of the said problem with a fractal-fractional differential operator.
null Kamran   +5 more
doaj   +1 more source

Fuzzy differential subordination related to strongly Janowski functions

open access: yesApplied Mathematics in Science and Engineering, 2023
The research presented in this paper concerns the notion of geometric function theory called fuzzy differential subordination. Using the technique associated with fuzzy differential subordination, a new subclass of analytic functions related with the ...
Bushra Kanwal, Saqib Hussain, Afis Saliu
doaj   +1 more source

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