Investigate the solution of an initial Hilfer fractional value problem

Amol D. Khandagale; Arif S. Bagwan; Sabri T.M. Thabet; Imed Kedim

doi:10.36922/IJOCTA025120056

Investigate the solution of an initial Hilfer fractional value problem

Amol D. Khandagale, Arif S. Bagwan, Sabri T.M. Thabet, Imed Kedim

Mathematics

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

Abstract

This paper aims to investigate sufficient criteria of the existence solution for a new category of nonlinear fractional differential equation under the Hilfer fractional derivative. The primary existence results are achieved by using a modified version of the Krasnoselskii-Dhage fixed-point theorem in the weighted Banach space. Finally, an application is illustrated to test the validity of the findings.

Original language	English
Pages (from-to)	493-502
Number of pages	10
Journal	International Journal of Optimization and Control: Theories and Applications
Volume	15
Issue number	3
DOIs	https://doi.org/10.36922/IJOCTA025120056
State	Published - 2025

Keywords

Fixed point theorem
Hilfer fractional derivative
Initial value problem

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10.36922/IJOCTA025120056

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title = "Investigate the solution of an initial Hilfer fractional value problem",

abstract = "This paper aims to investigate sufficient criteria of the existence solution for a new category of nonlinear fractional differential equation under the Hilfer fractional derivative. The primary existence results are achieved by using a modified version of the Krasnoselskii-Dhage fixed-point theorem in the weighted Banach space. Finally, an application is illustrated to test the validity of the findings.",

keywords = "Fixed point theorem, Hilfer fractional derivative, Initial value problem",

author = "Khandagale, \{Amol D.\} and Bagwan, \{Arif S.\} and Thabet, \{Sabri T.M.\} and Imed Kedim",

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AU - Bagwan, Arif S.

AU - Thabet, Sabri T.M.

AU - Kedim, Imed

PY - 2025

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AB - This paper aims to investigate sufficient criteria of the existence solution for a new category of nonlinear fractional differential equation under the Hilfer fractional derivative. The primary existence results are achieved by using a modified version of the Krasnoselskii-Dhage fixed-point theorem in the weighted Banach space. Finally, an application is illustrated to test the validity of the findings.

KW - Fixed point theorem

KW - Hilfer fractional derivative

KW - Initial value problem

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M3 - Article

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JO - International Journal of Optimization and Control: Theories and Applications

JF - International Journal of Optimization and Control: Theories and Applications

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ER -

Investigate the solution of an initial Hilfer fractional value problem

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Keywords

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