Hybrid interpolative mappings for solving fractional Navier–Stokes and functional differential equations

Hasanen A. Hammad; Hassen Aydi; Doha A. Kattan

doi:10.1186/s13661-023-01807-1

Hybrid interpolative mappings for solving fractional Navier–Stokes and functional differential equations

Hasanen A. Hammad
, Hassen Aydi^*
, Doha A. Kattan

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

The purpose of this study is to establish fixed-point results for new interpolative contraction mappings in the setting of Busemann space involving a convex hull. To illustrate our findings, we also offer helpful and compelling examples. Finally, the theoretical results are applied to study the existence of solutions to fractional Navier–Stokes and fractional-functional differential equations as applications.

Original language	English
Article number	116
Journal	Boundary Value Problems
Volume	2023
Issue number	1
DOIs	https://doi.org/10.1186/s13661-023-01807-1
Publication status	Published - Dec 2023
Externally published	Yes

Keywords

A convex hull
Busemann space
Fixed point technique
Fractional differential equation
The existence solution

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10.1186/s13661-023-01807-1

Cite this

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title = "Hybrid interpolative mappings for solving fractional Navier–Stokes and functional differential equations",

abstract = "The purpose of this study is to establish fixed-point results for new interpolative contraction mappings in the setting of Busemann space involving a convex hull. To illustrate our findings, we also offer helpful and compelling examples. Finally, the theoretical results are applied to study the existence of solutions to fractional Navier–Stokes and fractional-functional differential equations as applications.",

keywords = "A convex hull, Busemann space, Fixed point technique, Fractional differential equation, The existence solution",

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AU - Aydi, Hassen

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N2 - The purpose of this study is to establish fixed-point results for new interpolative contraction mappings in the setting of Busemann space involving a convex hull. To illustrate our findings, we also offer helpful and compelling examples. Finally, the theoretical results are applied to study the existence of solutions to fractional Navier–Stokes and fractional-functional differential equations as applications.

AB - The purpose of this study is to establish fixed-point results for new interpolative contraction mappings in the setting of Busemann space involving a convex hull. To illustrate our findings, we also offer helpful and compelling examples. Finally, the theoretical results are applied to study the existence of solutions to fractional Navier–Stokes and fractional-functional differential equations as applications.

KW - A convex hull

KW - Busemann space

KW - Fixed point technique

KW - Fractional differential equation

KW - The existence solution

UR - https://www.scopus.com/pages/publications/85179667167

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DO - 10.1186/s13661-023-01807-1

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JO - Boundary Value Problems

JF - Boundary Value Problems

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ER -

Hybrid interpolative mappings for solving fractional Navier–Stokes and functional differential equations

Abstract

Keywords

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