Solving k-Fractional Hilfer Differential Equations via Combined Fractional Integral Transform Methods
Journal of Advances in Mathematics and Computer Science · pp. 1427–1436 · Published 25 Mar 2014
10.9734/BJMCS/2014/9444Abstract
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.
Cited by 10
Ekta Mittal, Sunil Joshi · Discrete and Continuous Dynamical Systems - S · 2020
O.S. Iyiola · International Journal of Pure and Apllied Mathematics · 2015
M. R. Lemnaouar · Mathematical Methods in the Applied Sciences · 2024
Yasemin Başcı, Adil Mısır, Süleyman Öğrekçi · Mathematical Methods in the Applied Sciences · 2023
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