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Browsing Matematik Bölümü Yayın Koleksiyonu by Subject

Browsing Matematik Bölümü Yayın Koleksiyonu by Subject "Univalent Function"

Now showing items 1-13 of 13

Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set

Ibrahim, Rabha W.; Baleanu, Dumitru (2021-06)

We present an analytic solvability of a class of Langevin differential equations (LDEs) in the asset of geometric function theory. The analytic solutions of the LDEs are presented by utilizing a special kind of fractal ...
Conformable differential operators for meromorphically multivalent functions

Ibrahim, Rabha W.; Baleanu, Dumitru; Jahangiri, Jay M. (2021-11-06)

We define a conformable diff-integral operator for a class of meromorphically multivalent functions. We show that this conformable operator adheres to the semigroup property. We then use the subordination properties to ...
Convoluted fractional differentials of various forms utilizing the generalized Raina's function description with applications

Ibrahim, Rabha W.; Baleanu, Dumitru (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 ...
Entire solutions of a class of algebraic Briot-Bouquet differential equations utilizing majority concept

Ibrahim, Rabha W.; Baleanu, Dumitru (2020-12-01)

In this effort, the analytic solution of a class of algebraic Briot-Bouquet differential equations (ABBDE) in the open unit disk is investigated by making use of a major theory. The class is presented by the formula alpha(1)phi ...
Fractional Heat Equation Optimized By A Chaotic Function

Ibrahim, Rabha W.; Wazi, Mayada T.; Baleanu, Dumitru; Al-Saidi, Nadia (2021)

In this effort, we propose a new fractional differential operator in the open unit disk. The operator is an extension of the Atangana-Baleanu differential operator without singular kernel. We suggest it for a normalized ...
Generalized Quantum Integro-Differential Fractional Operator with Application of 2D-Shallow Water Equation in a Complex Domain

Rabha, W. Ibrahim; Baleanu, Dumitru (2021)

In this paper, we aim to generalize a fractional integro-differential operator in the open unit disk utilizing Jackson calculus (quantum calculus or q-calculus). Next, by consuming the generalized operator to define a ...
Geometric behavior of a class of algebraic differential equations in a complex domain using a majorization concept

Ibrahim, Rabha W.; Baleanu, Dumitru (2020)

In this paper, a type of complex algebraic differential equations (CADEs) is considered formulating by α[ϕ(z)ϕ′′(z) + (ϕ′(z))2] + amϕm(z) + am−1ϕm−1(z) + … + a1ϕ(z) + a0 = 0. The conformal analysis (angle-preserving) of ...
Modified Atangana-Baleanu Fractional Differential Operators

Ibrahim, Rabha W.; Baleanu, Dumitru (2022)

Fractional differential operators are mostly investigated for functions of real variables. In this paper, we present two fractional differential operators for a class of normalized analytic functions in the open unit disk. ...
On a combination of fractional differential and integral operators associated with a class of normalized functions

Ibrahim, Rabha W.; Baleanu, Dumitru (2021)

Recently, the combined fractional operator (CFO) is introduced and discussed in Baleanu et al. [1] in real domain. In this paper, we extend CFO to the complex domain and study its geometric properties in some normalized ...
On a geometric study of a class of normalized functions defined by Bernoulli’s formula

Ibrahim, Rabha W.; Aldawish, Ibtisam; Baleanu, Dumitru (2021-12)

The central purpose of this effort is to investigate analytic and geometric properties of a class of normalized analytic functions in the open unit disk involving Bernoulli’s formula. As a consequence, some solutions are ...
On a new linear operator formulated by Airy functions in the open unit disk

Ibrahim, Rabha W.; Baleanu, Dumitru (2021-12)

In this note, we formulate a new linear operator given by Airy functions of the first type in a complex domain. We aim to study the operator in view of geometric function theory based on the subordination and superordination ...
On quantum hybrid fractional conformable differential and integral operators in a complex domain

Ibrahim, Rabha W.; Baleanu, Dumitru (2021)

Newly, the hybrid fractional differential operator (HFDO) is presented and studied in Baleanu et al. (Mathematics 8.3:360, 2020). This work deals with the extension of HFDO to the complex domain and its generalization by ...
Symmetry breaking of a time-2d space fractional wave equation in a complex domain

Ibrahim, Rabha W.; Baleanu, Dumitru (2021-09)

(1) Background: symmetry breaking (self-organized transformation of symmetric stats) is a global phenomenon that arises in an extensive diversity of essentially symmetric physical structures. We investigate the symmetry ...

Now showing items 1-13 of 13

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Browsing Matematik Bölümü Yayın Koleksiyonu by Subject "Univalent Function"

Browsing Matematik Bölümü Yayın Koleksiyonu by Subject "Univalent Function"

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