Solving k-Fractional Hilfer Differential Equations via Combined Fractional Integral Transform Methods

Iyiola, Olaniyi Samuel (2014) Solving k-Fractional Hilfer Differential Equations via Combined Fractional Integral Transform Methods. British Journal of Mathematics & Computer Science, 4 (10). pp. 1427-1436. ISSN 22310851

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Abstract

In this paper, we introduce k-fractional Hilfer derivative given in [1]. A combination of fractional Fourier transform method and Laplace transform method is adopted to solve Cauchy-type problems involving k-fractional Hilfer derivatives and an integral operator whose kernel contains k-Mittag-Leffler function similar to the one given in [2]. The solutions to these problems are obtained in terms of Mittag-Leffler function.

Item Type: Article
Subjects: Journal Eprints > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 29 Jun 2023 03:44
Last Modified: 05 Nov 2025 03:52
URI: http://artix.article7submit.com/id/eprint/2321

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