The Cądariu-Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations

Safoura Rezaei Aderyani; Reza Saadati; Donal O'Regan

doi:10.1515/ijnsns-2021-0333

The Cądariu-Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations

Safoura Rezaei Aderyani, Reza Saadati, Donal O'Regan

Mathematics

Iran University of Science and Technology

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we apply the Cądariu-Radu method derived from the Diaz-Margolis theorem to investigate existence, uniqueness approximation of Ξ-Hilfer fractional differential equations, and Hypergeometric stability for both finite and infinite domains. An example is given to illustrate the main result for a fractional system.

Original language	English
Pages (from-to)	2877-2887
Number of pages	11
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	24
Issue number	8
DOIs	https://doi.org/10.1515/ijnsns-2021-0333
Publication status	Published - 1 Dec 2023

Keywords

Cądariu-Radu method
Diaz-Margolis theorem
fractional differential equations
Gauss hypergeometric function
stability
Ξ-Hilfer function

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10.1515/ijnsns-2021-0333

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title = "The C{\c a}dariu-Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations",

abstract = "In this paper, we apply the C{\c a}dariu-Radu method derived from the Diaz-Margolis theorem to investigate existence, uniqueness approximation of Ξ-Hilfer fractional differential equations, and Hypergeometric stability for both finite and infinite domains. An example is given to illustrate the main result for a fractional system.",

keywords = "C{\c a}dariu-Radu method, Diaz-Margolis theorem, fractional differential equations, Gauss hypergeometric function, stability, Ξ-Hilfer function",

author = "Aderyani, \{Safoura Rezaei\} and Reza Saadati and Donal O'Regan",

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The Cądariu-Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations. / Aderyani, Safoura Rezaei; Saadati, Reza; O'Regan, Donal.
In: International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 24, No. 8, 01.12.2023, p. 2877-2887.

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

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T1 - The Cądariu-Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations

AU - Aderyani, Safoura Rezaei

AU - Saadati, Reza

AU - O'Regan, Donal

PY - 2023/12/1

Y1 - 2023/12/1

N2 - In this paper, we apply the Cądariu-Radu method derived from the Diaz-Margolis theorem to investigate existence, uniqueness approximation of Ξ-Hilfer fractional differential equations, and Hypergeometric stability for both finite and infinite domains. An example is given to illustrate the main result for a fractional system.

AB - In this paper, we apply the Cądariu-Radu method derived from the Diaz-Margolis theorem to investigate existence, uniqueness approximation of Ξ-Hilfer fractional differential equations, and Hypergeometric stability for both finite and infinite domains. An example is given to illustrate the main result for a fractional system.

KW - Cądariu-Radu method

KW - Diaz-Margolis theorem

KW - fractional differential equations

KW - Gauss hypergeometric function

KW - stability

KW - Ξ-Hilfer function

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DO - 10.1515/ijnsns-2021-0333

M3 - Article

AN - SCOPUS:85130974811

SN - 1565-1339

VL - 24

SP - 2877

EP - 2887

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

IS - 8

ER -

The Cądariu-Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations

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