Theory and application for the time fractional Gardner equation with Mittag-Leffler kernel
نویسندگان
چکیده
منابع مشابه
Mittag-Leffler-Hyers-Ulam Stability of Fractional Differential Equation
In this article, we study the Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of a class of fractional differential equation with boundary condition.
متن کاملThe mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel
*Correspondence: [email protected] 1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK Full list of author information is available at the end of the article Abstract We establish analogues of the mean value theorem and Taylor’s theorem for fractional differential operators defined using a Mittag–Leffler kernel. We formulate a new model for the fract...
متن کاملA Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel
In this article, we extend fractional operators with nonsingular Mittag-Leffler kernels, a study initiated recently by Atangana and Baleanu, from order [Formula: see text] to higher arbitrary order and we formulate their correspondent integral operators. We prove existence and uniqueness theorems for the Caputo ([Formula: see text]) and Riemann ([Formula: see text]) type initial value problems ...
متن کاملFractional differential equations for the generalized Mittag-Leffler function
*Correspondence: [email protected] 3Department of Mathematical Sciences, UAE University, Al Ain, United Arab Emirates Full list of author information is available at the end of the article Abstract In this paper, we establish some (presumably new) differential equation formulas for the extended Mittag-Leffler-type function by using the Saigo-Maeda fractional differential operators involvin...
متن کاملFractional integral operators and the multiindex Mittag-Leffler functions
The aim of this paper is to study some properties of multiindex Mittag-Leffler type function E(1/ρj),(μj)(z) introduced by Kiryakova [V. Kiryakova, J. Comput. Appl. Math. 118 (2000), 241-259]. Here we establish certain theorems which provide the image of this function under the Saigo’s fractional integral operators. The results derived are of general character and give rise to a number of known...
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ژورنال
عنوان ژورنال: Journal of Taibah University for Science
سال: 2019
ISSN: 1658-3655
DOI: 10.1080/16583655.2019.1640446