Results 21 to 30 of about 3,290 (179)
On Conformable, Riemann-Liouville, and Caputo fractional derivatives
, 2022 This article compares conformable fractional Derivative with Riemann-Liouville and Caputo fractional derivative by comparing solutions to fractional ordinary differential equations involving the three fractional derivatives via the numerical simulations ...
Guswanto, Bambang Hendriya +2 more
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Mathematical Modelling and Analysis, 2017 This paper investigates fractional order Barbalat’s lemma and its applications for the stability of fractional order nonlinear systems with Caputo fractional derivative at first.
Fei Wang, Yongqing Yang
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On the solution of the space-time fractional cubic nonlinear Schrödinger equation
Results in Physics, 2018 The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif +2 more
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Linear Inverse Problems for Multi-term Equations with Riemann — Liouville Derivatives
Известия Иркутского государственного университета: Серия "Математика", 2021 The issues of well-posedness of linear inverse coefficient problems for multi-term equations in Banach spaces with fractional Riemann – Liouville derivatives and with bounded operators at them are considered. Well-posedness criteria are obtained both for
M. M. Turov, V.E. Fedorov, B.T. Kien
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Integral-Type Fractional Equations with a Proportional Riemann–Liouville Derivative
, 2021 In this paper, we present the necessary conditions where integral-type fractional equations with a proportional Riemann–Liouville derivative have a unique solution.
Nabil Mlaiki
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Solution of Fractional Order Equations in the Domain of the Mellin Transform
Journal of Nigerian Society of Physical Sciences, 2019 This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.
Sunday Emmanuel Fadugba
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Axioms, 2023 In this study, we obtained a system of eigenfunctions and eigenvalues for the mixed homogeneous Sturm-Liouville problem of a second-order differential equation containing a fractional derivative operator.
Ludmila Kiryanova, Tatiana Matseevich
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Nabla Fractional Derivative and Fractional Integral on Time Scales
Axioms, 2021 In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense.
Bikash Gogoi +4 more
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Fractional variational problems with the Riesz-Caputo derivative
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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Extended Riemann-Liouville fractional derivative operator and its applications [PDF]
, 2015 Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by ...
Agarwal, Praveen +2 more
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