Holomorphic Solutions Of A Class Of 3-D Propagated Wave Dynamical Equations Indicated By A Complex Conformable Calculus

Rabha W. Ibrahim; Samir B. Hadid; Shaher Momani

doi:10.18576/pfda/070102

Holomorphic Solutions Of A Class Of 3-D Propagated Wave Dynamical Equations Indicated By A Complex Conformable Calculus

Rabha W. Ibrahim
, Samir B. Hadid
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Ton Duc Thang University
Ajman University
University of Jordan

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we present holomorphic assemblies of a class of nonlinear conformable time-fractional wave equations type Khokhlov-Zabolotskaya (KZ) in a complex purview. To achieve this objective, we introduce a characterization of a complex conformable calculus (CCC) of a symmetric differential operator (SDO) and investigate its properties. Moreover, the operator is extended to a complex domain satisfying symmetric illustrations. Employing the proposed operator, we generalize KZ equation symmetrically.

Original language	English
Pages (from-to)	23-30
Number of pages	8
Journal	Progress in Fractional Differentiation and Applications
Volume	7
Issue number	1
DOIs	https://doi.org/10.18576/pfda/070102
State	Published - 2021

Keywords

Complex differential equations
Fractional calculus
Fractional differential operator
Holomorphic solution
Majorization
Subordination and superordination
Unit disk

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title = "Holomorphic Solutions Of A Class Of 3-D Propagated Wave Dynamical Equations Indicated By A Complex Conformable Calculus",

abstract = "In this paper, we present holomorphic assemblies of a class of nonlinear conformable time-fractional wave equations type Khokhlov-Zabolotskaya (KZ) in a complex purview. To achieve this objective, we introduce a characterization of a complex conformable calculus (CCC) of a symmetric differential operator (SDO) and investigate its properties. Moreover, the operator is extended to a complex domain satisfying symmetric illustrations. Employing the proposed operator, we generalize KZ equation symmetrically.",

keywords = "Complex differential equations, Fractional calculus, Fractional differential operator, Holomorphic solution, Majorization, Subordination and superordination, Unit disk",

author = "Ibrahim, \{Rabha W.\} and Hadid, \{Samir B.\} and Shaher Momani",

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year = "2021",

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AU - Hadid, Samir B.

AU - Momani, Shaher

PY - 2021

Y1 - 2021

N2 - In this paper, we present holomorphic assemblies of a class of nonlinear conformable time-fractional wave equations type Khokhlov-Zabolotskaya (KZ) in a complex purview. To achieve this objective, we introduce a characterization of a complex conformable calculus (CCC) of a symmetric differential operator (SDO) and investigate its properties. Moreover, the operator is extended to a complex domain satisfying symmetric illustrations. Employing the proposed operator, we generalize KZ equation symmetrically.

AB - In this paper, we present holomorphic assemblies of a class of nonlinear conformable time-fractional wave equations type Khokhlov-Zabolotskaya (KZ) in a complex purview. To achieve this objective, we introduce a characterization of a complex conformable calculus (CCC) of a symmetric differential operator (SDO) and investigate its properties. Moreover, the operator is extended to a complex domain satisfying symmetric illustrations. Employing the proposed operator, we generalize KZ equation symmetrically.

KW - Complex differential equations

KW - Fractional calculus

KW - Fractional differential operator

KW - Holomorphic solution

KW - Majorization

KW - Subordination and superordination

KW - Unit disk

UR - https://www.scopus.com/pages/publications/85116501098

U2 - 10.18576/pfda/070102

DO - 10.18576/pfda/070102

M3 - Article

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VL - 7

SP - 23

EP - 30

JO - Progress in Fractional Differentiation and Applications

JF - Progress in Fractional Differentiation and Applications

IS - 1

ER -

Holomorphic Solutions Of A Class Of 3-D Propagated Wave Dynamical Equations Indicated By A Complex Conformable Calculus

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