Integro-differential equations implicated with Caputo-Hadamard derivatives under nonlocal boundary constraints

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

doi:10.1088/1402-4896/ad185b

Integro-differential equations implicated with Caputo-Hadamard derivatives under nonlocal boundary constraints

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

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

The goal of this work is to derive a new type of fractional system that arises from the combination of the Caputo-Hadamard derivative with the integro-differential equation. Also, the existence and uniqueness of solutions to this problem have been studied under nonlocal boundary conditions. Moreover, Hyer-Ulam stability has been studied for the considered problem. Finally, to reinforce the theoretical results and provide applications for our paper, two supporting examples have been emphasized.

Original language	English
Article number	025207
Journal	Physica Scripta
Volume	99
Issue number	2
DOIs	https://doi.org/10.1088/1402-4896/ad185b
Publication status	Published - 1 Feb 2024
Externally published	Yes

Keywords

Caputo-Hadamard derivative
Hadamard fractional integral
fixed point
stability result

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10.1088/1402-4896/ad185b

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title = "Integro-differential equations implicated with Caputo-Hadamard derivatives under nonlocal boundary constraints",

abstract = "The goal of this work is to derive a new type of fractional system that arises from the combination of the Caputo-Hadamard derivative with the integro-differential equation. Also, the existence and uniqueness of solutions to this problem have been studied under nonlocal boundary conditions. Moreover, Hyer-Ulam stability has been studied for the considered problem. Finally, to reinforce the theoretical results and provide applications for our paper, two supporting examples have been emphasized.",

keywords = "Caputo-Hadamard derivative, Hadamard fractional integral, fixed point, stability result",

author = "Hammad, \{Hasanen A.\} and Hassen Aydi and Kattan, \{Doha A.\}",

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AU - Hammad, Hasanen A.

AU - Aydi, Hassen

AU - Kattan, Doha A.

PY - 2024/2/1

Y1 - 2024/2/1

N2 - The goal of this work is to derive a new type of fractional system that arises from the combination of the Caputo-Hadamard derivative with the integro-differential equation. Also, the existence and uniqueness of solutions to this problem have been studied under nonlocal boundary conditions. Moreover, Hyer-Ulam stability has been studied for the considered problem. Finally, to reinforce the theoretical results and provide applications for our paper, two supporting examples have been emphasized.

AB - The goal of this work is to derive a new type of fractional system that arises from the combination of the Caputo-Hadamard derivative with the integro-differential equation. Also, the existence and uniqueness of solutions to this problem have been studied under nonlocal boundary conditions. Moreover, Hyer-Ulam stability has been studied for the considered problem. Finally, to reinforce the theoretical results and provide applications for our paper, two supporting examples have been emphasized.

KW - Caputo-Hadamard derivative

KW - Hadamard fractional integral

KW - fixed point

KW - stability result

UR - https://www.scopus.com/pages/publications/85182279207

U2 - 10.1088/1402-4896/ad185b

DO - 10.1088/1402-4896/ad185b

M3 - Article

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JO - Physica Scripta

JF - Physica Scripta

IS - 2

M1 - 025207

ER -

Integro-differential equations implicated with Caputo-Hadamard derivatives under nonlocal boundary constraints

Abstract

Keywords

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