A Well‐Posed Problem for a Class of Fractional Integro‐Differential Equations

ABSTRACT In this paper, we establish an existence and uniqueness result for a class of fractional integro‐differential equations in the ‐Hilfer fractional derivative sense. Dependence of solutions with respect to initial data is also obtained. Two examples are presented to explain the main results.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-05-24
DOI
https://doi.org/10.1002/mma.11093
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

A Well‐Posed Problem for a Class of Fractional Integro‐Differential Equations

Tran Dinh Phung, Dinh Thanh Duc
Mathematical Methods in the Applied Sciences
Fractional Differential Equations Solutions
article

A Well‐Posed Problem for a Class of Fractional Integro‐Differential Equations

Tran Dinh Phung, Dinh Thanh Duc
article en

Abstract

ABSTRACT In this paper, we establish an existence and uniqueness result for a class of fractional integro‐differential equations in the ‐Hilfer fractional derivative sense. Dependence of solutions with respect to initial data is also obtained. Two examples are presented to explain the main results.

Mathematical Methods in the Applied SciencesVol. 48(13)
University of Economics Ho Chi Minh City (VN), University of Finance - Marketing (VN)
Openalex Percentile: Top 87%
Fractional Differential Equations Solutions
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