Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces

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

doi:10.28924/2291-8639-21-2023-95

Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces

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

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces. Finally, the considered problem has been supported by an illustrative application.

Original language	English
Article number	95
Journal	International Journal of Analysis and Applications
Volume	21
DOIs	https://doi.org/10.28924/2291-8639-21-2023-95
Publication status	Published - 2023
Externally published	Yes

Keywords

Caputo-Hadamard derivative
fixed point technique
impulsive fractional problem
phase space
state-dependent delay

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10.28924/2291-8639-21-2023-95

Cite this

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title = "Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces",

abstract = "In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces. Finally, the considered problem has been supported by an illustrative application.",

keywords = "Caputo-Hadamard derivative, fixed point technique, impulsive fractional problem, phase space, state-dependent delay",

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

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language = "English",

volume = "21",

journal = "International Journal of Analysis and Applications",

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T1 - Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces

AU - Hammad, Hasanen A.

AU - Aydi, Hassen

AU - Kattan, Doha A.

PY - 2023

Y1 - 2023

N2 - In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces. Finally, the considered problem has been supported by an illustrative application.

AB - In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces. Finally, the considered problem has been supported by an illustrative application.

KW - Caputo-Hadamard derivative

KW - fixed point technique

KW - impulsive fractional problem

KW - phase space

KW - state-dependent delay

UR - https://www.scopus.com/pages/publications/85169820801

U2 - 10.28924/2291-8639-21-2023-95

DO - 10.28924/2291-8639-21-2023-95

M3 - Article

AN - SCOPUS:85169820801

SN - 2291-8639

VL - 21

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 95

ER -

Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces

Abstract

Keywords

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