On the existence and uniqueness solution for a Fractional Benjamin-Ono equation for Conformable Fractional Derivative

Ravinder Kumar; Virendra Singh Chouhan; Praveen Agarwal; Shilpi Jain

doi:10.5269/bspm.76928

On the existence and uniqueness solution for a Fractional Benjamin-Ono equation for Conformable Fractional Derivative

Ravinder Kumar
, Virendra Singh Chouhan
, Praveen Agarwal
, Shilpi Jain

Nonlinear Dynamic Research Centre (NDRC)

Manipal University Jaipur
Saveetha Institute of Medical and Technical Sciences (Deemed to be University)
International College of Engineering
Poornima College of Engineering

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

Abstract

In this paper, we discuss the existence and uniqueness solution of a conformable fractional derivative for the fractional Benjamin-Ono equation (FBOs), using the Sine-Gordon expansion method. Also, we get some exact solution to the fractional Benjamin-Ono equation and the graphical representation of the results. The results demonstrate how the current process is practically effective.

Original language	English
Journal	Boletim da Sociedade Paranaense de Matematica
Volume	43
Issue number	1
DOIs	https://doi.org/10.5269/bspm.76928
State	Published - 9 Feb 2025

Keywords

Conformable fractional derivative
Fractional Benjamin-Ono equation
Sine-Gordon expansion method

Access to Document

10.5269/bspm.76928

Cite this

@article{de6a7d50b7b04908a57b017f1bac8c6c,

title = "On the existence and uniqueness solution for a Fractional Benjamin-Ono equation for Conformable Fractional Derivative",

abstract = "In this paper, we discuss the existence and uniqueness solution of a conformable fractional derivative for the fractional Benjamin-Ono equation (FBOs), using the Sine-Gordon expansion method. Also, we get some exact solution to the fractional Benjamin-Ono equation and the graphical representation of the results. The results demonstrate how the current process is practically effective.",

keywords = "Conformable fractional derivative, Fractional Benjamin-Ono equation, Sine-Gordon expansion method",

author = "Ravinder Kumar and Chouhan, \{Virendra Singh\} and Praveen Agarwal and Shilpi Jain",

note = "Publisher Copyright: {\textcopyright} Soc. Paran. de Mat.",

year = "2025",

month = feb,

day = "9",

doi = "10.5269/bspm.76928",

language = "English",

volume = "43",

journal = "Boletim da Sociedade Paranaense de Matematica",

issn = "0037-8712",

publisher = "Boletim da Sociedade Paranaense de Matematica",

number = "1",

}

TY - JOUR

T1 - On the existence and uniqueness solution for a Fractional Benjamin-Ono equation for Conformable Fractional Derivative

AU - Kumar, Ravinder

AU - Chouhan, Virendra Singh

AU - Agarwal, Praveen

AU - Jain, Shilpi

N1 - Publisher Copyright: © Soc. Paran. de Mat.

PY - 2025/2/9

Y1 - 2025/2/9

N2 - In this paper, we discuss the existence and uniqueness solution of a conformable fractional derivative for the fractional Benjamin-Ono equation (FBOs), using the Sine-Gordon expansion method. Also, we get some exact solution to the fractional Benjamin-Ono equation and the graphical representation of the results. The results demonstrate how the current process is practically effective.

AB - In this paper, we discuss the existence and uniqueness solution of a conformable fractional derivative for the fractional Benjamin-Ono equation (FBOs), using the Sine-Gordon expansion method. Also, we get some exact solution to the fractional Benjamin-Ono equation and the graphical representation of the results. The results demonstrate how the current process is practically effective.

KW - Conformable fractional derivative

KW - Fractional Benjamin-Ono equation

KW - Sine-Gordon expansion method

UR - https://www.scopus.com/pages/publications/105015438468

U2 - 10.5269/bspm.76928

DO - 10.5269/bspm.76928

M3 - Article

AN - SCOPUS:105015438468

SN - 0037-8712

VL - 43

JO - Boletim da Sociedade Paranaense de Matematica

JF - Boletim da Sociedade Paranaense de Matematica

IS - 1

ER -

On the existence and uniqueness solution for a Fractional Benjamin-Ono equation for Conformable Fractional Derivative

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this