Results 31 to 40 of about 3,726,319 (376)

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

Linear Differential Operator with an Involution as a Generator of an Operator Group [PDF]

open access: yes, 2018
We use the method of similar operators to study a mixed problem for a differential equation with an involution and an operator-valued potential function.
A. Baskakov, I. Krishtal, N. Uskova
semanticscholar   +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

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

New Differential Operator for Holomorphic Functions

open access: yesEarthline Journal of Mathematical Sciences, 2019
In this paper, by making use of binomial series, we define a new differential operator of holomorphic functions in the open unit disk. Also, we introduce and investigate two new classes containing this new operator associated with differential ...
A. Wanas
semanticscholar   +1 more source

On the “splitting” effect for multipoint differential operators with summable potential

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We study the differential operator of the fourth order with multipoint boundary conditions. The potential of the differential operator is summable function on a finite segment.
Sergey I Mitrokhin
doaj   +1 more source

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

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   +1 more source

A New Subclass of Analytic Functions Defined by Using Salagean q-Differential Operator

open access: yesMathematics, 2019
In our present investigation, we use the technique of convolution and quantum calculus to study the Salagean q-differential operator. By using this operator and the concept of the Janowski function, we define certain new classes of analytic functions ...
M. Naeem   +4 more
semanticscholar   +1 more source

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   +1 more source

On Differential Operators and Connections [PDF]

open access: yesTransactions of the American Mathematical Society, 1961
In this paper we construct, for an arbitrary principal bundle (with group a real Lie group) over a differentiable manifold, a sheaf of germs of linear differential operators of first order operating on the sheaf of germs of sections of any differentiable vector bundle associated with the given principal bundle. The commutators of these operators define
openaire   +1 more source

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