ON SOLUTIONS OF EQUATIONS USING CONFORMABLE FRACTIONAL DERIVATIVES AND APPLICATIONS

Haitham Qawaqneh; Hassen Aydi

doi:10.54671/BMAA-2025-3-6

ON SOLUTIONS OF EQUATIONS USING CONFORMABLE FRACTIONAL DERIVATIVES AND APPLICATIONS

Haitham Qawaqneh
, Hassen Aydi

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

Abstract

This paper explores functional analysis with conformable fractional (CF) operators, focusing on their propertiessuch as differentiability, boundedness, and compactnessand their applications in metric spaces. We establish the theoretical foundations, supported by real-world examples and simulations, demonstrating their effectiveness in fields like physics, engineering, biology, and data science. Overall, the study highlights the operators’ utility in modeling complex phenomena.

Original language	English
Pages (from-to)	78-95
Number of pages	18
Journal	Bulletin of Mathematical Analysis and Applications
Volume	17
Issue number	3
DOIs	https://doi.org/10.54671/BMAA-2025-3-6
Publication status	Published - 2025
Externally published	Yes

Keywords

Comformable fractional operators
Fractional calculus
Functional analysis
Metric spaces

Access to Document

10.54671/BMAA-2025-3-6

Cite this

@article{b26fde1b106d431482c1e31427d5c77e,

title = "ON SOLUTIONS OF EQUATIONS USING CONFORMABLE FRACTIONAL DERIVATIVES AND APPLICATIONS",

abstract = "This paper explores functional analysis with conformable fractional (CF) operators, focusing on their propertiessuch as differentiability, boundedness, and compactnessand their applications in metric spaces. We establish the theoretical foundations, supported by real-world examples and simulations, demonstrating their effectiveness in fields like physics, engineering, biology, and data science. Overall, the study highlights the operators{\textquoteright} utility in modeling complex phenomena.",

keywords = "Comformable fractional operators, Fractional calculus, Functional analysis, Metric spaces",

author = "Haitham Qawaqneh and Hassen Aydi",

note = "Publisher Copyright: {\textcopyright}2025 Universiteti i Prishtin{\"e}s, Prishtin{\"e}, Kosov{\"e}.",

year = "2025",

doi = "10.54671/BMAA-2025-3-6",

language = "English",

volume = "17",

pages = "78--95",

journal = "Bulletin of Mathematical Analysis and Applications",

issn = "1821-1291",

publisher = "Department of Mathematics and Computer Sciences, University of Prishtina",

number = "3",

}

TY - JOUR

T1 - ON SOLUTIONS OF EQUATIONS USING CONFORMABLE FRACTIONAL DERIVATIVES AND APPLICATIONS

AU - Qawaqneh, Haitham

AU - Aydi, Hassen

PY - 2025

Y1 - 2025

N2 - This paper explores functional analysis with conformable fractional (CF) operators, focusing on their propertiessuch as differentiability, boundedness, and compactnessand their applications in metric spaces. We establish the theoretical foundations, supported by real-world examples and simulations, demonstrating their effectiveness in fields like physics, engineering, biology, and data science. Overall, the study highlights the operators’ utility in modeling complex phenomena.

AB - This paper explores functional analysis with conformable fractional (CF) operators, focusing on their propertiessuch as differentiability, boundedness, and compactnessand their applications in metric spaces. We establish the theoretical foundations, supported by real-world examples and simulations, demonstrating their effectiveness in fields like physics, engineering, biology, and data science. Overall, the study highlights the operators’ utility in modeling complex phenomena.

KW - Comformable fractional operators

KW - Fractional calculus

KW - Functional analysis

KW - Metric spaces

UR - https://www.scopus.com/pages/publications/105022755957

U2 - 10.54671/BMAA-2025-3-6

DO - 10.54671/BMAA-2025-3-6

M3 - Article

AN - SCOPUS:105022755957

SN - 1821-1291

VL - 17

SP - 78

EP - 95

JO - Bulletin of Mathematical Analysis and Applications

JF - Bulletin of Mathematical Analysis and Applications

IS - 3

ER -

ON SOLUTIONS OF EQUATIONS USING CONFORMABLE FRACTIONAL DERIVATIVES AND APPLICATIONS

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this